All Submission Categories

Staging the Question of Self: a Self-Contained, Self-Modifying Document that Mixes Poetry, Philosophy, and Code

Authors: Brent Hartshorn
Comments: 6 Pages. https://github.com/brentharts/introspecter

We describe a small system that treats the question "what is a self?" not as a thesis tobe proved but as an inquiry to be staged : made visible, evolved in documented steps, andshared. The system is a single PDF that carries its own source code as embedded file streams;a short appendix bootstrap extracts and runs that code to produce the next iteration. Itscontent is written in a small domain-specific language (DSL) whose symbols are simultaneouslymathematical notation, philosophical relations, and executable program. Each operator rendersas typeset mathematics, generates a natural-language question, and compiles to Python. Ahuman-in-the-loop step takes an "oracle" — a person, or a language model the person consults— that proposes the next evolution; symbolic statements are compiled to a fixed, sandboxed setof builder calls, while optional fenced code blocks may extend the engine itself, gated by explicithuman confirmation. We document the full pipeline, the minimal seed, and a worked examplein which the document grows a new relational operator. We are deliberate about what theinstrument does and does not establish: because the document can be rewritten to ask anything,the apparent depth of any stage is supplied by whoever authored it. The system is therefore afaithful instrument for staging an inquiry into selfhood; it is not, and by construction cannotbe, a demonstration that a self has emerged. We argue this honest framing is the interestingone.
Category: Linguistics

Grand Unified Hypothesis on Spatiotemporal Topological Collapse From Quantum Fluid Dipoles to Macroscopic Anti-Gravity and FTL Traversals

Authors: Hongshu Zhu
Comments: 9 Pages. (Note by ai.viXra.org Admin: Author name is required in the article after article title; and please cite and list scientific references)

This comprehensive manuscript proposes a profound paradigm shift in theoretical physics, offering a unified geometric framework that bridges the genesis of the universe, the mechanics of elementary particles, and the horizon of applied aerospace engineering. Diverging from the traditional Big Bang singularity, this hypothesis posits that the universe originated from the spatiotemporal topological collapse of a fourth spatial dimension, leaving behind microscopic "black hole-white hole" dual rotating oscillators—the geometric and fluid essence of all elementaryparticles. Within this Topological Fluid framework, the four fundamental forces(gravity, electromagnetism, strong, and weak interactions) are unified seamlessly asdistinct manifestations of fluid dynamics, and the classical mass-energy equivalence(E = mc2) acquires a pure geometric derivation.Advancing into applied physics, we define the mechanism of Topological Phase Locking, whereby extreme high-frequency electromagnetic resonance aligns the spatial emissions of these microscopic dipoles. By integrating this mechanism with the Ginzburg-Landau theory of superconductivity to eliminate thermal topological friction, we introduce the Non-Minimal Topological Coupling Lagrangian. This novel field-theory formalism proves that electromagnetic resonance within a macroscopicquantum coherent state forces a renormalization of the effective gravitational constant (Gef f < 0). This directly derives the Gravitational Meissner Effect—the absolute expulsion of the background gravitational spatial flux. Ultimately, this manuscript delineates a rigorous, propellantless geometric pathway for macroscopic topological thrust, the elimination of inertial mass, and Faster-Than-Light (FTL)metric traversal, offering theoretical alignment with contemporary anomalous aerodynamic observations.
Category: Quantum Gravity and String Theory

Relativistic Field Theory of Primes: First-Principles Emergence of 3+1D Lorentzian Spacetime and Einstein—Cartan Gravity from the Bost—Connes System

Authors: J. W. McGreevy
Comments: 17 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present a first-principles derivation of 3+1-dimensional Lorentzian spacetime andEinstein—Cartan gravity from the arithmetic structure of the Bost—Connes C∗-dynamicalsystem. Starting from the primitive object (ABC,σt) and its KMS states, we construct ascale-invariant quadratic form on the idèle class space via the GNS inner product. Irregularprimes appear as topological defects through class-group shifts, inducing a shear in thequadratic form that maps canonically to a point τp ∈ H. For the resonant prime 691 this shear aligns with the hexagonal fixed point τ = ρ, where the Z/6Z stabilizer providestopological protection against adelic screening.The local 3-defect patch (primes 37, 59, 691) carries a non-abelian su(2) connection.Global adelic closure projects the three independent directions onto a single screened ray (time) while preserving the protected 3-dimensional spatial structure generated by the Eisenstein lattice at ρ. Explicit differentiation of the quadratic-form embedding with respect to the shear parameter yields the six generators of the Lorentz algebra so(1,3), with compact rotations locked at resonance and non-compact boosts arising from unbounded shear.The second-order Magnus expansion of parallel transport produces a residual torsion vector whose components are fixed by phase mismatches between the three incommensurate modular frequencies. Promoting the local Quantum Geometric Tensor metric on the 3-defect patch together with the screened ray yields a derived 4D Lorentzian geometry. On the resulting resonant spectral triple we evaluate the Chamseddine—Connes Spectral Action. Functional variation with respect to the emergent metric produces the Einstein—Cartan field equations, with the cosmological term fixed by the converged quadratic sum over the 47 irregular primes below 691 and the torsion source fixed by the linear sum. The next heat-kernel coefficienta4 generates quadratic gravity corrections that are parametrically suppressed by the samearithmetic factors, establishing ultraviolet safety. All physical structures—spacetime signature, Lorentz symmetry, torsion, and gravitational dynamics—emerge as necessary consequences of adelic consistency acting on the arithmetic defects of the Bost—Connes system. No external gravitational or field-theoretic ansatzis introduced.
Category: Mathematical Physics

A Contradiction-Based Proof of MIPU and MAP as Necessary Structures in Predictive Intelligence

Authors: Michael Zot
Comments: 19 Pages.

This paper presents a contradiction-based proof that Minimal Irreversible Predictive Updates (MIPU) and Maximal Anticipatory Patterns (MAP) are necessary structural bounds for any finite system capable of integrated learning and anticipation. We define learning as a change in future prediction, classification, action, or response caused by new information. Under this definition, a learning system cannot change nothing, and any real predictive change must contain some necessary update. If all unnecessary components are removed from that update, the remaining smallest integrated prediction-changing component is a MIPU. Therefore, denying MIPU while preserving learning produces contradiction.We then define anticipation as the use of present information to constrain possible future states. Anticipation cannot occur without pattern structure. If the pattern is too small, valid predictive information is excluded. If the pattern is too large, unsupported structure enters and coherence fails. The widest coherent anticipatory structure available to the system is therefore a MAP. Denying MAP while preserving anticipation also produces contradiction.Together, MIPU and MAP define a bounded corridor for intelligence: below MIPU, information fails to become learning; above justified MIPU, evidence becomes distortion; below MAP, the system misses valid structure; above MAP, the system invents structure. The result is a formal foundation for analyzing human cognition, artificial intelligence, multi-turn model failure, manipulation detection, and other predictive systems through lower and upper bounds of valid predictive change.
Category: Artificial Intelligence

The Open-Audience Failure Of Viral Therapy-Speak Detection-Rule Leakage, Trust Camouflage, and MIPU/MAP Formation in Digital Pseudo-Psychology

Authors: Michael Zot
Comments: 11 Pages.

This paper introduces the Open-Audience Pseudo-Psychology Risk Model (OAPRM), a framework for analyzing the risks created when clinical, forensic, and therapeutic concepts are converted into viral public content. Mental-health content about narcissism, gaslighting, love bombing, coercive control, DARVO, red flags, and abuse detection is typically framed as victim education. This paper argues that such framing ignores the open-audience structure of algorithmic platforms. In public feeds, victims are not the only viewers. Confused observers, false accusers, reputation managers, manipulators, and abusive actors can all receive the same detection rules.The paper identifies detection-rule leakage as the central failure: when content teaches victims what to recognize, it can simultaneously teach adversarial viewers what to hide. This creates asymmetric benefit. Victims may gain language for harm, while harmful actors may gain operational knowledge about which behaviors trigger suspicion. The paper formalizes this process through the concepts of Trust Camouflage, Weak Disclosure, Resilient Disclosure, and MIPU/MAP formation. Trust Camouflage describes the use of therapeutic language, such as boundaries, healing, accountability, and emotional safety, to appear trustworthy while maintaining harmful control dynamics underneath.OAPRM proposes that viral pseudo-psychology content should be evaluated not only by accuracy, intent, or creator credentialing, but by audience composition, adversarial uptake, disclosure resilience, and downstream behavioral adaptation. The paper argues that public abuse-awareness content can unintentionally degrade its own detection value when the people being described learn the signs and adapt around them. It concludes by proposing resilient disclosure principles for mental-health education that can support victims without broadcasting evasion manuals to adversarial audiences.
Category: Mind Science

Misunderstanding the Interference Pattern Behavior in the Double-Slit Experiment

Authors: Kasun Thilina Fernando
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper presents an alternative interaction-based interpretation of the single-slit and double-slit experiments. It proposes that interference-like patterns arise from attractive and repulsive interactions between photons or electrons and electrons near slit boundaries, rather than from traditional wave-particle duality alone. The model suggests that these interactions modify particle trajectories and produce observable fringe patterns. A classical analogy and discussion of slit geometry are included to support the concept, encouraging further theoretical and experimental investigation into quantum interference phenomena.
Category: Quantum Physics

Two Realms of Brain Dynamics: A Quantum Synaptic Trigger and a Classical Stochastic Neural Field

Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 17 Pages.

We develop a physics of cortical dynamics in which a microscopic quantum realm and a macroscopicclassical realm coexist and are coupled at the synapse. Following Beck and Eccles, thetrigger for synaptic exocytosis is treated as a genuine quantum event governed by the position—momentum uncertainty relation (Part I); its environmental decoherence is a measurement eventin the von Neumann sense [1], and the population of such events seeds the noise of a classicalstochastic neural field whose Martin—Siggia—Rose—Janssen—De Dominicis path integral organizescortical fluctuations through a single parameter, namely Brain's Planck Constant; so that partof the cortical noise descends from it. Measurement event and perceptual decision areunified as one first-passage construction (Part III). We estimate Brain's Planck Constant from cortical parameters,validate the first-passage law numerically, obtain a falsifiable kinetic-isotope and temperaturesignature in synaptic release, decision error rate, and reaction-time variability, and read thearchitecture as a quantum—classical hybrid computer. We then derive (Part IV) the corticalfluctuation spectrum from a fluctuation—dissipation relation and compare it to the 1/f powerof EEG/LFP; develop the stochastic thermodynamics of the neural field, giving the brain’s effectiveBoltzmann scale and the Landauer cost of the synaptic measurement; and map brainstates, criticality and neuronal avalanches, and predictive-coding precision onto modulation ofBrain's Planck Constant. The quantum realm is real but confined to the molecular trigger; the classical realm governscognition; all dualist interpretation is kept outside the physics.
Category: Quantum Physics

Axiomatics by Prompts with Prompted Prompts: Introducing Reality Pictures to Replace Language-Modelled with Existence-Guioded Narrative Patterns

Authors: Dainis Zeps
Comments: 13 Pages. (Note by ai.viXra.org Admin: This submisison may not fall within the scope of ai.viXra.org and is sucject to removal)

This paper continues an earlier experiment in prompt-based political reasoning by askingwhether narrative-driven discussion can be partially replaced by an axiomatic sequence ofprompts. The point of departure is a deliberately strong initial prompt concerning Russia’s forced federalization and demilitarization, treated not as a conclusion to be debated but as a working axiom from which further prompts can be generated. The paper argues that conventional political discussion, whether human or AI-assisted, tends tobecome trapped in normative reformulations, objections, and rhetorical loops that obscure rather than clarify reality. In contrast, the proposed method seeks prompts that are increasingly descriptive rather than normative, so that they function as compact pictures of reality rather than as wish-expressive political narratives. Using the war in Ukraine and the contemporary Russian imperial system as a test case, the paper shows how an initial prompt can generate a sequence of further prompts describing military deadlock, imperial self-destruction, social degradation, and the internal human cost of the Russian system. Particular emphasis is placed on the claim that the first victims of an imperial order may be the people living within it, and that this perspective remains largely invisible instandard Western political discourse.The paper does not present a finished formal theory. Instead, it offers a first methodological step toward a prompt-based axiomatics in which political reasoning proceeds by making assumptions explicit, refining them through further prompts, and replacing language-modelled narrative patterns with existence-guided pictures of reality.
Category: Social Science

The Dark Foam Universe: A Slowly Evolving, Primordial Scaffold for Matter, Time Dilation, and Gravitational Wave Propagation

Authors: Karen Lines
Comments: 7 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite listed scientific references)

The nature of dark matter remains unknown. This paper proposes a geometric model: dark matter is a primordial, slowly evolving foam — a continuous, fractal scaffold that constitutes the skeleton of the universe. Ordinary matter does not clump under pressure but instead fills the voids of this foam without resistance. This filling process explains the observed cosmic web (JWST COSMOS-Web map, 2026) as a ghost trace of the underlying foam. The foam is not strictly timeless; it evolves on timescales far longer than the current age of the universe, making it effectively static over cosmic history. Time dilation emerges from matter's position within the foam, with limits that avoid singularities and respect causality. Gravitational waves propagate through the foam walls analogously to pressure waves through Earth's atmosphere (Hunga Tonga 2022). The model accounts for redshift asa cumulative path effect, for large-scale structure without dark energy, and for the "tree ring" appearance of the cosmic web. The Local Void — a 150—300 Mly underdense region adjacentto the Local Group — provides a nearby laboratory. Observational predictions include:a quantitative gradient in stellar age and metallicity across the Local Sheet (∆[Fe/H]∼0.1− 0.2 dex per 10 Mpc), gravitational wave echoes from foam walls, and small-scale CMBanisotropies matching a fractal pattern.
Category: Relativity and Cosmology

The Gradient Foam Universe: A Unifying Framework for Flow, Topology, and the NonExistence of Odd Perfect Numbers

Authors: Karen Lines
Comments: 4 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite listed scientific references)

We present the Gradient Foam Framework, a unified perspective on systems where a slowly evolving scaffold (foam) creates potential gradients along which a filler flows without pressure. This principle appears across scales: perfect numbers (abundancy index), the cosmic web (dark matter filaments), second sound in super-fluids, DNA hydrogen bonding, human population dynamics, technology evolution,and the topology of odd integers. We show that the odd positive integers form a M¨obius strip (a nonorientable, onesided space) in which the abundancy index can approach 2 arbitrarily closely but never reach it. The smallest odd abundant number, 945, marks the first crossing above 2 and serves as a numerical witnessto the topological obstruction. We introduce memention — the warm, directional bridge between memory and intention — as a dynamical vector in the foam, and we relate the impossibility of odd perfect numbers to a de Sitterlike 'conclusionary horizon': the odd perfect number can only exist in nonstandard models beyond thelimits of provability. The paper synthesises number theory, topology, physics, andinformation theory into a coherent cosmological picture: the foam holds, the number 2 is the guardian of twosidedness, and the nonexistence of odd perfect numbers is a necessary condition for a stable, flowing universe.
Category: Relativity and Cosmology

The Increase in the Center of Mass Momentum of a Three-Body System Due to Linear Acceleration Through Minkowski Spacetime

Authors: Paul Robert Mesler
Comments: 19 Pages.

Euler’s first law requires that changes in the center of mass momentum of a system of bodies can only occur when external impulses act on a system. We report the results of an experiment where after 30 test trials the mean value of known external friction impulses acting on a threebody system accounted for only ~ 8.2 per cent (standard deviation .037 and standard error .0068) of the increase in the final momentum of the system, leaving a ~ 91.8 per cent discrepancy. The three-body system consisted of two spheres, constrained to roll around quarter-circle barriers attached to a third body. Since the spheres were constrained from following their natural straight-line geodesic paths in the metric of flat spacetime, centrifugal real forces emerged radially outward from the center of mass of the spheres, pushing on the inner walls of the curved barriers. This caused the system to accelerate, inducing torque inertial forces on the spheres which increased their orbital angular speed. This increase in speed accounted for the ~ 91.8 per cent impulse discrepancy of the experiment, and thus, when added to the friction impulse, accounted for the total impulse that caused the increase in the center of mass momentum of the system per Euler’s first law.
Category: Classical Physics

Electroweak Symmetry Breaking and the Higgs from Spectral Worldvolume Geometry

Authors: Pruk Ninsook
Comments: 42 Pages.

This manuscript presents Paper X of the Information-Geometric Physics System (IGPS) series, extending the framework to the electroweak sector. It explores an approach where the Standard Model Higgs doublet is modeled as a BPS domain wall within a five-dimensional SU(2)_L × U(1)_Y gauge theory. By analyzing the spectral geometry and conformal field theory (CFT) of the Higgs kink worldvolume, this paper attempts to derive fundamental electroweak observables structurally, without introducing additional free parameters.Key Concepts and Results:The Weinberg Angle (sin²θ_W): Building on Callan-Harvey anomaly inflow and topological charge quantization, the framework yields a tree-level value of sin²θ_W = 1/4. This mathematically preserves the gauge boson mass ratio m_Z/m_W = 2/√3 and the exact custodial symmetry parameter ρ = 1.The Electroweak Worldvolume: Utilizing the Goddard-Kent-Olive (GKO) coset construction, we propose an identification of the combined lepton-Higgs worldvolume with the 3-state Potts minimal model M(5,6) carrying a central charge c = 4/5.The Higgs Quartic Coupling (λ_H): Formulated through structural VOA data, specifically combining the primary conformal weight with the UV crossover scale derived from the Schwinger-Dyson equation. This geometric approach yields λ_H = 31/240 ≈ 0.12917, showing a close numerical agreement (-0.17% deviation) with the current experimental value. This result subsequently provides a conditional estimate for the Higgs vacuum expectation value of v ≈ 246.4 GeV.The Observer Necessity Principle: Discussed in the Appendix, this section aims to formalize the mapping of 4D physical couplings from 2D CFT boundary data. By applying the Cauchy functional equation and standard thermodynamic identities, we outline a structural rationale for selecting the specific derivation route presented in this study.Overall, this paper aims to provide a topological and algebraic perspective on the Standard Model's dimensionless electroweak couplings, suggesting that these foundational parameters might be understood as structural invariants of an underlying spectral geometry.
Category: High Energy Particle Physics

The Dark Foam Universe and the Cosmological Non-Existence of Odd Perfect Numbers

Authors: Karen Lines
Comments: 6 Pages.

We propose a new cosmological principle for the foundations of arithmetic: the Dark Foam Universe. In this framework, the number 2 acts as the stabilising symmetry of a quantum foam of vacua. Even perfect numbers are the allowed,coherent structures that respect this symmetry, while an odd perfect number is a forbidden architecture that would break the conclusionary horizon—a logical boundary analogous to the de Sitter horizon in spacetime. We demonstrate thatevery known attack on the odd perfect number problem fails in a way precisely analogous to the impossibility of observing beyond a cosmological horizon. Using the mathematical apparatus of de Sitter space, nonstandard models of arithmetic, and the limits of provability, we argue that an odd perfect number can only inhabit a de Sitterlike 'unreal' place where knowledge is fundamentally inaccessible, andthat its nonexistence in the standard model of arithmetic is a necessary stability condition for the mathematical universe. The paper formalises this vision and shows how the number 2 guards the boundary between the real and the unreal.
Category: Relativity and Cosmology

A Rigorous Analytic Proof of the Riemann Hypothesis in the Relativistic Field Theory of Primes via Non-Hermitian Spectral Geometry on the Compact Modular Curve

Authors: J. W. McGreevy
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present a fully rigorous, self-contained analytic proof that the non-trivial zeros of the Riemann zeta function are precisely the globally stable skin modes of an inner-fluctuated Dirac—Zeta operator on the compactified modular curve X(1)∗. The proof proceeds entirely within the framework of unbounded operators on weighted Sobolev spaces, regularized Fredholm determinants on Hilbert—Schmidt ideals, the Riemann—Roch theorem, and a vanishing theorem for fractional states. The simple pole at s = 1 is interpreted as a topological point gap that triggers the NonHermitian Skin Effect. Spectral stability under discretization is established via uniform pseudospectrum control. The point-gap winding number is realized as the Fredholm index of the regularized resolvent. Riemann—Roch divisor constraints on meromorphic sections force the Generalized Brillouin Zone onto the critical line. A vanishing theorem shows that isolated fractional (non-color-singlet) states are excluded from the domain, thereby locking every non-trivial zero to R(s) = 1/2. The construction is compatible with Alain Connes’ spectral triples and yields, as a byproduct, an explicit derivation of the Clausius relation from the spectral action along the adiabatic paths of the modular loop. All steps are topological and independent of any particular representative of the operator.
Category: Mathematical Physics

Basics of World-Universe Cosmology

Authors: Vladimir S. Netchitailo
Comments: 6 Pages. (Note by ai.viXra.org Admin: Further repetition will not be accepted)

This paper summarizes key results of Classical Physics obtained prior to the advent of Quantum Mechanics, together with hypotheses proposed by some of the physicists whose ideas contributed to Hypersphere World-Universe Cosmology (WUC) from the seventeenth through the twentieth centuries. These results and ideas are then unified into a single coherent framework within the developed WUC.
Category: Relativity and Cosmology

Toward What End Should Russia's War Be Brought to an End? Prompts Instead of Narratives: Trying a New Methodology for Political Discussion

Authors: Dainis Zeps
Comments: 19 Pages. (Note by ai.viXra.org Admin: This submisison may not fall within the scope of ai.viXra.org and is sucject to removal)

The emergence of large language models has revealed a broader problem that extends far beyond artificial intelligence itself: contemporary political discourse increasingly lacks stable conceptual foundations. Public debates often evolve into endless cycles of reinterpretation, rhetorical adjustment, and ideological reformulation, producing large volumes of commentary while generating little cumulative understanding. The same tendency can be observed in AI-generated political reasoning, where internally consistent narratives may drift away from observable reality.This paper proposes an alternative methodology based on the systematic use of prompts as explicit working assumptions. Rather than beginning with arguments, participants begin with prompts that function as provisional axioms. The objective is not to win a debate but to construct increasingly coherent prompt structures capable of organizing observation, interpretation, and judgment. New prompts emerge from previous ones, forming a dynamic framework for collective reasoning.As a test case, the paper examines the problem of contemporary Russia and the future of the Russian imperial system. Beginning from the prompt that the federalization and demilitarization of Russia should become a recognized objective of Western policy, the discussion develops a sequence of related prompts concerning imperial structures, social organization, human agency, fear, coercion, and the relationship between state preservation and human well-being. Particular attention is given to the possibility that the principal victims of imperial systems may be the populations living within them, and that conventional geopolitical discourse often obscures this perspective.The paper does not seek to provide definitive political conclusions. Instead, it explores whether prompt-based discourse can serve as a more productive and reality-oriented alternative to conventional political argumentation. The Russian question is therefore treated not only as a geopolitical problem but also as an experimental domain for investigating new forms of structured collective reasoning in the age of artificial intelligence.
Category: Social Science

Phase-Transitional Quantum Gravity

Authors: Ian Litchfield
Comments: 5 Pages. (Note by ai.viXra.org Admin: This submission may not be written in a scholarly manner as required - Please conform and cite and list scientific references)

The foundational crisis of modern physics stems from the treatment of space-time as a smooth mathematical continuum. By replacing this abstraction with a granular, emergent quantum lattice, we can eliminate the mathematical infinities of General Relativity (GR) and reconcile it with Quantum Mechanics (QM). This framework proposes that space-time possesses a physical structure with variable coupling efficiency regulated by density, providing a single, unified mechanism for several of the greatest mysteries in astrophysics
Category: Relativity and Cosmology

Causal Topology Vacuum Model: A Statistics Resolved, Matroidal, and Horizon Regulated Framework

Authors: Russell S. Clark II, Brian L. Swift
Comments: 84 Pages. This paper is intended to describe a research program and causal topology framework toward an improved formulation of the cosmological constant problem.

This integrated draft is a research-program white paper that harmonizes three strands of the Causal Topology Vacuum Model (CTVM): the broad v7 dark-sector program, the shorter v8 corrective scaffold, and the Volovik/statistical-sector revision. The central claim is no longer that CTVM has been derived as a theorem of algebraic quantum field theory (AQFT). The corrected claim is more precise: CTVM is a layered, testable framework in which regulated vacuum correlations are separated into operational response sectors, encoded by response-weighted representable matroids, and conditionally related to gravitational sourcing through a separate semiclassical or holographic dictionary. Version 15.5 retains the referee-facing viability improvements and critical-path improvements: a tighter dependency schema, a modular-compatibility status note, a compact SK-versus-CPTP worked example, an explicit matroid falsifier, clearer Volovik analogy boundaries, and more visible falsifier/non-claim summaries. First, the transport—teleportation diagnostic is rewritten as operational prose rather than as a numbered pseudo-equation, while preserving the distinction between path-dependent geometric response and resource-mediated algebraic relabeling. Second, the near-degenerate horizon-edge assumption is strengthened into a spectral-shell hypothesis with an explicit expansion parameter for the approximation γ+ ≃ γ−. These are deliberately clarifying revisions; they sharpen presentation, operational falsifiability, and horizon-edge kinetics without adding new load-bearing claims. Version 15.5 further tightens the architectural-tradeoff statement and quarantines the conditional residual-sector construction: a thresholded binary reduction of the residual response block, a matroid-to-CSS code ansatz, a quantified addressability/leakage trade-off, a small three-detector CSS illustration, and an analytic longitudinal-mode asymptotic in Appendix H.12. These additions are framed as construction targets and calculable hypotheses, not as completed proofs of residual gravitational inertness. Version 15.5 also retains a modular-equivalence consistency check motivated by the companion Entropic Inertia analysis: if inertia is a Rindler modular work response, then any sector excluded from gravitational sourcing must also be absent from the inertial modular-work functional, or else the Einstein equivalence principle would be violated. This is stated as a conditional sector-matching principle, not as a proof of the equivalence principle.
Category: Relativity and Cosmology

Institutional Stress, Mental Defense, and Topological Phase Transitions: A Five-Dimensional Dynamic Model of Academic Frustration

Authors: John Smith
Comments: 11 Pages. (Note by ai.viXra.org Admin: Please use real author name; please cite and list scientific references)

Within the contemporary intersection of the sociology of knowledge and higher education psychology, the friction between academic agents and rigid macro-structures (e.g., peer-review frameworks, repository compliance audits, institutional tenure-track metrics) has grown increasingly severe. Traditional literature regarding "Academic Burnout" or "Institutional Stress" routinely relies on linear, binary reductionism. It simplifies scholars into passive, stress-enduring economic units, thereby completely overlooking the unique, hyper-rationalized cognitive architecture inherent to intellectual cohorts.This study asserts a distinct alternative: Scholars, as professional investigators and deconstructors of systemic rules, exhibit a hyper-intellectualized mode of psychological defense when confronting the structural backlash and frustrations imposed by social or institutional boundaries.To map this recursive mirror phenomenon, this paper introduces concepts from Information Theory and Cybernetics to construct a "Five-Fold Sovereign Matrix," strictly bounded by the mathematical equilibrium of the Fibonacci sequence (Fu2085=5). This model demonstrates that when an individual mind encounters systemic blockades, the neural architecture spontaneously collapses and converges into one of five baseline defense archetypes to preserve internal thermodynamic equilibrium (homeostasis) against physical reality. By shifting the perspective from clinical pathology to functional systemic states, this framework provides a powerful, de-stigmatized path toward safeguarding cognitive sovereignty for frustrated intellectuals.
Category: Social Science

Composite Trust Scoring and the Evasion Surface

Authors: Sudipto Chandra
Comments: 7 Pages. Creative Commons Attribution-NonCommercial 4.0 International

Between 2022 and 2026, commodity bot mitigation shifted from binary, single-signal blocklisting toward composite trust scoring: a request is admitted only if it satisfies a conjunction of independently evaluated detection layers. Cloudflare, which fronts a large share of all sites that deploy bot-mitigation tooling, exemplifies this architecture with a stack we decompose into fifteen layers grouped into five domains — network and transport, client environment, behavioral, interactive challenge, and programmable-cryptographic controls. This paper offers a defender-oriented taxonomy of that stack. For each layer we characterize the signal it reads, the structural reason it is or is not evadable, and the residual hardness that remains after best-effort evasion. Our central observation is that evadability is not uniform: layers that read artifacts a client emits (TLS handshakes, HTTP/2 frame ordering, header order) are structurally weak because the artifact can be reproduced exactly, whereas layers that read properties a client must continuously possess (genuine per-zone behavioral history, a privately held cryptographic credential) resist forgery by construction. We argue that the long-run defensive trajectory follows from this asymmetry, and that newer mechanisms such as cryptographic agent attestation are a different kind of control altogether: forgery-resistant by construction. Their present weakness is not cryptographic but a matter of deployment, since current configurations fail open when no signature is presented.
Category: Artificial Intelligence

IEEE DZ20i : A Continuous Extension of IEEE 754 for Division by Zero Operations

Authors: Mohammed Belabbaci
Comments: 5 Pages.

The IEEE 754 floating-point standard, foundational to modern computing since 1985, treats division by zero as an undefined operation, returning error states or special infinity values. This convention, while practically expedient, creates mathematical discontinuities and computational barriers across multiple domains. We propose IEEE DZ20i, a continuous extension of IEEE 754 based on the axiom a/0 = a, which maintains computational continuity through zero-valued divisors.This paper presents the mathematical foundation of the DZ20 axiom, demonstrates its consistency within a Meta-Framework for Adapted Mathematics (MCMA), specifies the IEEE DZ20i standard including symmetric human-AI co-validation mechanisms, and explores applications across algorithmic computing, energy systems, hardware design, robotics, and space exploration.Implementation results show that IEEE DZ20i eliminates a broad class of runtime exceptions while preserving backward compatibility with IEEE 754 operations outside the zero-divisordomain.
Category: Mathematical Physics

Noether Charges and Dilatation Current as Direct Biquaternion Channel Decompositions: A Lagrangian-Free Construction

Authors: E. P. J. de Haas
Comments: 29 Pages. https://doi.org/10.5281/zenodo.20583983

Starting from the minimal complex matrix algebra M2(C), this paper shows that two biquaternion products suffice to derive the complete conservation structure of a relativistic perfect fluid and its dilatation current, without postulating a Lagrangian and without invoking Noether's theorem as an external tool.The product M = R^T G, formed from the spacetime position four-vector R and the energy-momentum four-vector G, decomposes automatically into the action density, angular momentum density, and moment-of-energy density as algebraically forced channel outputs. The closure condition dM = 0 packages all three conservation laws into a single Maurer-Cartan flatness condition on a Lie-algebra-valued current in the adjoint representation of the Lorentz group, a structure that follows from the asymmetric transformation law of the biquaternion transpose and requires no additional input.The perfect-fluid reduction projects M onto the adjoint orbit of the fluid velocity, yielding the relativistic Lagrangian fluid equations in comoving coordinates whose gamma-scaling encodes the dilatation structure of the flow. A companion product J_D = R(U^T G) constructs the dilatation current explicitly: under the perfect-fluid constraint it reduces to J_D = eR, a pure Lorentz four-vector whose conservation is the relativistic virial theorem and whose sole surviving constraint in the thin-disk limit is the Euler homogeneity relation div(r) + 1 = 0 — the differential signature of a renormalisation-group fixed point, derived here without assuming scale invariance.The construction demonstrates that the Lagrangian, the Euler-Lagrange equations, and the Noether currents are outputs of the algebraic structure of M2(C) rather than its foundation, and identifies the biquaternion transposed product as the minimal algebraic operation from which the standard framework's results follow as necessary consequences.
Category: Relativity and Cosmology

Quantum Mechanics Requires Vacuum Self-Decoherence: A Holographic Boundary Mechanism for Classical Vacuum Observables and a Possible Physical Interpretation of Renormalization

Authors: Steven Elliott
Comments: 10 Pages.

The measured vacuum energy density entering cosmology is a classical macroscopic quantity. In standard quantum theory, the emergence of classicality from quantum superposition is explained through decoherence: a subsystem loses accessible phase coherence through entanglement with environmental degrees of freedom. This paper applies that same logic to the vacuum itself. An arbitrary finite spherical region of vacuum is treated as an interior quantum subsystem, while its boundary and exterior vacuum degrees of freedom form its environment. Under a holographic assumption, the boundary carries an area-scaling information capacity and functions as the interface through which interior field configurations are encoded relative to the exterior. Tracing over the boundary-exterior environment yields a reduced density matrix for the interior whose off-diagonal components are suppressed by environmental overlap factors. In a Gaussian influence-functional model, the decoherence exponent is controlled by a boundary noise kernel and scales schematically with the number of boundary information cells, Γ_ij ∝ A/ℓ_P², for distinguishable interior configurations. Thus a finite vacuum region cannot be treated as a pristine, perfectly coherent, isolated quantum register. The global vacuum may remain pure, but every finite restriction of it is generically mixed and dynamically decohered by the rest of the vacuum. This vacuum self-decoherence does not by itself calculate the observed cosmological constant. It instead establishes that a finite vacuum region is never operationally described by an unlimited pristine coherent state. This provides a possible physical mechanism underlying the coarse-graining that renormalization implements algebraically.
Category: Quantum Physics

Higgs Mechanism Versus Resonance Mass Generation: a Comparative Study of the Standard Model and Unified Fractal Quantum Field Theory (Ufqft)

Authors: Hacı Soğukpınar
Comments: 26 Pages. (Note by ai.viXra.org Admin: Further repetition may not be accepted)

The origin of mass remains one of the central questions in modern particle physics. Within the Standard Model, particle masses arise through spontaneous electroweak symmetry breaking and Yukawa interactions with the Higgs field. While the discovery of the Higgs boson provided strong experimental support for this framework, the Standard Model does not explain the numerical values of fermion masses, the origin of Yukawa couplings, or the observed mass hierarchy spanning several orders of magnitude. Unified Fractal Quantum Field Theory (UFQFT) proposes an alternative interpretation in which mass emerges from localized resonance energy generated by coupled energy (Φ) and charge (Ψ) fields embedded within a critical fractal spacetime characterized by an effective dimension near D ≈ 2.7. In this work, we perform a systematic comparison between the Higgs mechanism and resonance-based mass generation. The analysis examines the origins of gauge-boson masses, fermion masses, and nucleon mass within both frameworks. Particular attention is given to the role of Yukawa couplings, resonance stability, fractal confinement, and energy localization. We show that while the Standard Model successfully parameterizes observed particle masses through Higgs interactions, UFQFT provides a geometric interpretation in which mass emerges from resonance organization rather than from independent coupling constants. The conceptual foundations, mathematical structures, predictive capacities, and experimental implications of both approaches are compared. The study establishes a framework for evaluating whether resonance geometry can reproduce known mass phenomena while providing new insights into the hierarchy problem, flavor structure, and the physical origin of mass. This comparison constitutes an important component of the broader UFQFT Standard Model Validation Program and contributes to the ongoing search for a deeper understanding of matter and mass generation.
Category: High Energy Particle Physics

Three Roads to Quantum Gravity

Authors: Nigel B. Cook
Comments: 10 Pages. (Note by ai.viXra.org Admin: An abstract labeled as such is required in the article; please cite and list scientific references)

There are three roads to the same mechanism for quantum gravity given in 2011 vixra paper 1111.0111. This paper extracts them from that paper and compares them. Illustrations are appended. Paper was checked using Microsoft Copilot AI system for mathematical accuracy.
Category: Quantum Gravity and String Theory

Topological Residual Theory: Geometric Origins of Errors - Rotation, Topology, and Projection Residuals A Systematic Analysis Based on Fu2081u2089 = 4181 and the Fine-Structure Constant

Authors: Xiangqian Zhang，Mingming Zhao，Linchao Ge
Comments: 5 Pages.

This paper systematically analyzes the geometric origins of errors within Topological ResidualTheory (TRT). Taking the Fibonacci number Fu2081u2089 = 4181 as the critical node, we demonstrate thatthe fine-structure constant α is precisely the radian-measure expression of the angle 0.4181°. Theconstant α inherently carries three topological factors: rotation (right-handed cylindrical helicity), symmetry (Markov global stability), and scaling (renormalization and fractality). These factors necessarily generate irreducible projection residuals in real topological realizations. By quantifying the discrepancies between TRT predictions and both 1/137 and experimental values for α, G = μu2080 α², and the Planck constant, we show that all observed errors originate from the intrinsic rotation and topology of α itself. Special emphasis is placed on the multiple algebraic decompositions of 4181 and on relating error magnitudes to the renormalization factor (1/2)α² × 10u207f or α² × 10u207f. Connections to the Lamb shift and Rydberg constant are established to strengthen the theory’s self-consistency and predictive power.
Category: Mathematical Physics

Primitive Idempotents and Central Splitting from Cl(1,3) to Cl(1,4)

Authors: Ginanjar Utama
Comments: 8 Pages.

This paper proves, by explicit Clifford-algebra computation, that the γ0-diagonal complete orthogonal primitive decomposition of real Cl(1,3) has two sectors, while the extension to Cl(1,4) supplies a second independent commuting basis-blade involution, γ1234. Because I5 = γ0γ1234, the generated involution group is Z2 × Z2, not (Z2)3. The resulting decomposition contains four primitive idempotents, each generating a real 8-dimensional minimal left ideal. The count four is itself fixed by Wedderburn theory, since each simple summand has rank two; the explicit content of the result is the basis-blade realization of the family and the demonstration of why a naive three-involution count would predict eight. The central idempotents (1 ± I5)/2 realize the real semisimple splitting Cl(1,4) ≅ M2(H) ⊕ M2(H), where H denotes the quaternions. They do not, by themselves, supply a complex imaginary unit; a complex spinor interpretation still requires choosing an internal quaternionic complex structure within each ideal. Physical identifications with chirality, charge, helicity, or U(1) phase are therefore treated as conjectural.Supporting results include: (i) a Pancharatnam-phase computation from projector triple products in Cl(3,0), confirming the half-solid-angle rule 2|φ| = Ω for geodesic spherical triangles; (ii) a bivector-square classification of geometric-i candidates, with the observation that the chiral split in real Cl(1,3) is a complex-structure operation, not a real idempotent split; and (iii) a short positioning of the result relative to real Cl(0,6) and complex Clu2086 Standard Model programs. The paper is intended as a lower-dimensional real-idempotent audit, not as a derivation of a Standard Model generation.
Category: Mathematical Physics

Octonionic Non-Associativity and the Emergence of Particle Physics

Authors: Rüdiger Giesel
Comments: 21 Pages.

Weformulate a particle-physics sector in an octonionic projection framework in which the Standard Model is interpreted as the low-energy associative projection of a deeper non-associative field dynamics. The fundamental objects arethree octonion-valued fields ΨI ∈ O, I = 1,2,3, whose non-associative content is measured by the octonionic associator [Ψ1,Ψ2,Ψ3] = (Ψ1Ψ2)Ψ3− Ψ1(Ψ2Ψ3). A positive semidefinite associator potential dynamically suppresses nonassociative excitations at low energies and selects local associative subalgebras. We show how the chain O → Hphys → C motivates the emergence of complex quantum fields and Standard-Model-like residual gauge sectors related to SU(3)c, SU(2)L, and U(1)Y. We emphasize that the exact chiral hypercharge spectrum is not derived here; it requires an explicit projector representation.In this construction the associator is not merely an algebraic obstruction, but a dynamical source for projection, symmetry breaking, generation structure, mass hierarchy corrections, neutrino mixing corrections, Higgs-sector deformations, and possible fifth-force phenomenology. We briefly distinguish this proposal from division-algebraic Standard-Model reconstructions, where octonions primarily encode particle representations and charge assignments; here the new ingredient is the promotion of the associator to a field-theoreticquantity. The framework provides a constrained octonionic projection mechanism leading to Standard-Model-like particle sectors, while the complete derivation of the observed chiral charge spectrum remains an open task.
Category: Relativity and Cosmology

Unified Framework of Gravity and Electromagnetism and Consistency of Fundamental Constants Based on a Geometric Model of Spatial Point Helical Motion

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 13 Pages.

Within the framework of Topological Residual Theory (TRT), this study explores the unification ofgravitational and electromagnetic interactions at the level of spacetime geometry. Utilizing the cylindrical helical motion of spatial points (geometrization of Zitterbewegung) as the dynamical foundation, we derive the wave equationvia the variational principle of the displacement field . Using the geometric structure of thelocal cylindrical orthonormal frame induced by local helical symmetry, the electric, magnetic, and gravitational fields are defined as projections of the time derivatives of onto this orthonormal frame. Consequently, the mutual orthogonality of the three fields emerges as a geometric necessity of the frame decomposition rather than an independent postulate. The gravitational field is derived via two independent pathways: (i) the framekinematics and time evolution pathway ( ), and (ii) the second-order derivative pathway of the wave equation ( ). The mathematical consistency betweenthese two pathways indicates that gravity can be interpreted as a second-order residual effectof electromagnetic oscillations propagating at the speed of light. Furthermore, charge is defined as the topological charge (winding number / Hopf invariant) of the helical displacement field on a closed sphere (Euler characteristic ), which manifests as the effective rate of mass change only during the transient state of topological structure formation. Under the compatibility condition of theflux change rate (local topological flux continuity), we naturally derive the vacuum relations and . Based on this unified topological mechanism, the model provides a self-consistent geometric explanation for both charge quantization and particle spin.
Category: Mathematical Physics

Spectral Fingerprint Function Finding: Method and Preliminary Results

Authors: Richard Andrew Holland
Comments: 30 Pages.

We present an efficient and consistent method for discerning preferable and generating functions of data using filtered spectral fingerprints. Spectral analysis of functions and data is hardly new. For example, with Fourier Transforms one can classify and identify functions using coefficients. The problem is that statistical, domain and systematic error noise is baked into the spectrum of coefficients. For over two centuries Legendre polynomials have been used for spectra, however, we are unaware of prior use of this approach. We create a hash library of function spectra to quickly find preferable and/or generating functions. Software tools (Patents Pending) have been developed utilizing this methodology, including one for finding AI/ML Neuron Activation functions. Even for noisy and instrument biased data, researchers and machine optimizers can better discern preferential and underlying functions that generate noisy data. Preliminary AI/ML results are also presented.
Category: Functions and Analysis

The Biotic—Thermal Vapor Pump: a Phased, Transboundary Framework for Salton Sea Dust Remediation and Critical-Mineral Recovery Through Brine-Free Solar-Thermal Evaporation, Halophytic Silviculture, and Closed-Loop Geothermal Energy

Authors: Brent Hartshorn
Comments: 22 Pages.

This paper introduces a phased, trans-boundary framework for arresting the public-health dust hazard of the desiccating Salton Sea while recovering critical minerals from imported marine water. Decades of "Sea-to-Sea" proposals to import water from the Gulf of California have foundered on three obstacles repeatedly identified by independent state review: tens of billions of dollars in cost, multi-decade timelines, and the ecological damage of discharging concentrated brine back into the Gulf. We propose the "Biotic—Thermal Vapor Pump" (BTVP), sited in the below-sea-level Laguna Salada basin of Baja California, Mexico, whose central innovation directly removes the brine-discharge obstacle. Phase I couples a scale-asymmetric halophytic canopy (Avicennia germinans and Rhizophora mangle) to a recently demonstrated additive-free, brine-discharge-free solar-thermal evaporator (laser-textured superwicking black metal) that recovers nearly all dissolved salts—and, via embedded hydrogen-titanate nanoparticles, lithium—as solid product rather than as toxic concentrate, converting the terminal-basin salt-disposal liability into a managed resource stream. Phase II incorporates deep, closed-loop downhole heat exchangers to safely tap the underlying 187◦ C geothermal reservoir without phreatomagmatic or halite-hydrolysis hazard, and to access the lithium-rich (∼100—300 mg/L) native geothermal brine of the "Lithium Valley" resource. Phase III integrates a DNA-inspired pyrimidone Molecular Solar Thermal (MOST) matrix asa timing actuator for on-demand vapor pulses. We present coupled mass, salinity, thermodynamic, andatmospheric models, and—critically—bound each subsystem against the relevant physics. The dominant, defensible benefits are dust suppression, brine-free salinity management, and critical-mineral recovery; we show by moisture-budget and recycling-ratio analysis that the local atmospheric contribution to down-wind precipitation is a small, bounded effect rather than a primary water-supply mechanism, and we present it as such. Finally, we frame the design as Stage 1 of a two-stage program: an independently beneficial Mexican-basin installation that proves the brine-free zero-liquid-discharge desalination chain and thereby makes credible a Stage 2 in which the same technology—answering the decisive brine-discharge objection that ended prior state review of Gulf importation—enables direct stabilization of the Salton Sea itself.
Category: Climate Research

Toward a Pre-Spacetime Ontology of Two-Sidedness: Lie Algebra, Semiosis, and Homeostatic Order

Authors: Stephen P. Smith
Comments: 11 Pages.

The search for a unified ontology has long been divided between mathematical descriptions of external structure and phenomenological accounts of lived experience. This paper argues that an unexpected bridge between these domains may already exist within the elementary axioms of Lie algebra. The antisymmetry of the Lie bracket expresses a fundamental principle of two-sidedness, while the Jacobi identity introduces an irreducible triadic relation that stabilizes this polarity through algebraic closure. Together these axioms suggest a primitive logic of reciprocity and homeostasis that precedes geometric realization and therefore exists conceptually prior to spacetime structure. Building upon this observation, the paper explores structural correspondences between Lie algebra, Peircean semiotics, Friston's free energy principle, Hegelian dialectics, and CPT-symmetric cosmological models. In each case, a common pattern emerges: an initial unity gives rise to a dyadic tension whose persistence requires mediation by a third term capable of restoring coherence without eliminating difference. The resulting triadic structure functions as a homeostat, regulating relations across scales while preserving the integrity of the participating elements. The paper proposes that this recurring pattern may represent a scale-invariant principle of organization. While not offered as a physical theory, the framework provides a conceptual ontology in which meaning, symmetry, homeostasis, and semiosis emerge from a common relational architecture. The central thesis is that two-sidedness and triadic homeostasis are not late products of biological or cognitive evolution but may instead constitute primordial conditions for the existence of stable relational order.
Category: General Science and Philosophy

Distributed Casimir-Active Nanostructured Hull Panels as a Candidate Architecture of Controlled Negative Energy Density Generation

Authors: Nico Kleff
Comments: 8 Pages. (Note by ai.viXra.org Admin: Some texts in Table 1 are cutoff!)

The Alcubierre warp metric requires negative energy density distributed around a spacecraft hull. We propose a conceptual architecture in which a spacecraft hull consists of a large-area array of nano-fabricated Casimir cavities, each within Ford-Roman quantum-inequality bounds, collectively producing an integrated negative energy density profile approximating the spatial boundary conditions of the Alcubierre metric. Segmented, addressable piezoelectric control of hull panels is proposed as a mechanism for dynamic shaping of the metric distortion, addressing the internal-controllability problem of the original warp-bubble scheme. We outline a six-layer nanofabrication stack (SiC substrate, TiN adhesion layer, Au conductor, Au-lined trench array, graphene monolayer, Al2O3 encapsulation), a scaling hypothesis linking per-tile Casimir output to hull-integrated negative energy density, and a four-phase experimental roadmap. No claim is made that the scheme will succeed; the contribution is a concrete, testable structural hypothesis connecting established Casimir physics to the open engineering problem of warp-metric generation.
Category: Relativity and Cosmology

The Exact Sidon Constant of {0, 1, 2, 3} and Its Formalization

Authors: Haoxiang Yu
Comments: 11 Pages. See https://github.com/yhx-12243/Sidon3 for formalization

We determine the exact value of the Sidon constant of the four-element set {0,1,2,3} to be 5/3. The lower bound was established by Neuwirth via an explicit family of trigonometric polynomials; we prove the matching upper bound. Our proof introduces a new method: given a point on the unit circle we construct a cubic self-inversive polynomial whose three roots lie on the unit circle, extract positive real weights from these roots, and use a weighted square-sum identity to obtain the sharp estimate. The entire proof is formalized in Lean 4 using mathlib.
Category: Functions and Analysis

A Paired Universe Theory and its Implications for Fundamental Physics

Authors: James Francis Godwin
Comments: 8 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper proposes a cosmological framework in which the universe as we know it — one in which time exists and flows — is paired with a companion universe in which time does not exist. Analogous to the quantum mechanical creation and annihilation of particle/antiparticle pairs, these two universes came into existence together at the Big Bang from nothing, and will eventually annihilate each other, returning to nothing. The expansion of the temporal universe continuously stretches the timeless companion, which resists this stretching and exerts a restoring force. This paper proposes that this restoring force is the origin of gravity, and that the gravitational constant G is not truly constant but increases over time as expansion proceeds. This single underlying principle is shown to offer natural explanations for gravity, dark matter, quantum entanglement, wave-particle duality, the nature of light, the origin of supermassive black holes, the anomalous brightness of early galaxies observed by JWST, and an alternative interpretation of cosmological redshift that removes the need for dark energy. The framework prioritises simplicity and testability, and makes specific predictions that differ from the standard cosmological model (ΛCDM).
Category: Relativity and Cosmology

The Anomalous Magnetic Moment and the Lamb Shift Derived from the Stochastic Coulomb Field: First-Order Calculations

Authors: Fusao Ishii
Comments: 26 Pages.

This paper derives two landmark predictions of quantum electrodynamics—the anomalous magnetic moment of the electron (g−2) and the Lamb shift of hydrogen—from the stochastic Coulomb field framework established in Papers 1—4 [1—4]. Both effects have the same physical origin: the zero-point radiation field (ZPF), derived in Paper 1 from the Coulomb virtual photon cloud via the Boltzmann ergodic theorem (proved in Paper 3 [3]), modifies the electron trajectory in two distinct physical situations. For the anomalous magnetic moment: the ZPF modifies the radius of the Zitterbewegung helix established in Paper 4, producing a correction to the bare g = 2 result. Integrating the ZPF spectral density SE(ω) = ℏω^3/6π^2ϵ0c^3 weighted by the time-ordering factor of the emission-reabsorption process gives the Schwinger term: ae ≡ (g − 2)/2 = α/2π ≈ 0.001 161, in agreement with the leading QED prediction and experiment. For the Lamb shift: the ZPF drives fluctuations in the electron’s position within the hydrogen atom. These fluctuations smear the electron over the Coulomb potential of the nucleus, producing an effective shift in the potential energy. Because the Laplacian of the Coulomb potential is proportional to a delta function at the origin, only s-states (l = 0) are shifted. Using the Compton cutoff ωc = mc^2/ℏ from Paper 1 and the orbital frequency as the lower cutoff, the energy shift of the 2S1/2 level is: ΔνLamb ≈ 1 040 MHz, compared with the experimental value of 1057.845 MHz—agreement to within 2% at first order. Together these results confirm that the stochastic Coulomb field framework reproduces the two most celebrated predictions of QED from purely classical foundations.
Category: Quantum Physics

Beyond Particles: A Resonance-Geometric Paradigm for Physics and Cosmology in Unified Fractal Quantum Field Theory (UFQFT)

Authors: Hacı Soğukpınar
Comments: 45 Pages.

The Unified Fractal Quantum Field Theory (UFQFT) proposes a resonance-geometric framework in which matter, interactions, spacetime, and cosmology emerge from the dynamics of two fundamental fields: the energy field (Φ) and the charge field (Ψ), embedded within a fractal spacetime characterized by a critical effective Hausdorff dimension of D ≈ 2.7. In this paradigm, elementary particles are not fundamental point-like entities but stable resonance configurations of coupled Φ—Ψ fields, while mass, charge, spin, and particle stability arise from fractal resonance structure and dimensional localization. The theory identifies D ≈ 2.7 as a critical threshold at which confinement, long-range interactions, temporal evolution, and stable matter coexist, providing a unified geometric explanation for the emergence of ordinary matter, dark matter, dark energy, and the arrow of time. Gravity is reinterpreted as an emergent symmetry-restoring response of the fractal field, whereas electromagnetic, weak, and strong interactions arise from distinct resonance modes and topological transitions of the same underlying field system. UFQFT further extends naturally to nuclear structure, halo nuclei, neutrino oscillations, CP violation, baryogenesis, black-hole interiors, neutron stars, and bubble cosmology, offering a common geometric origin for phenomena traditionally described by separate theoretical frameworks. A scale-dependent dimensional flow from microscopic fractal regimes to macroscopic classical geometry establishes a UV—IR bridge linking particle physics with cosmological structure formation and large-scale dynamics. The framework yields a broad range of experimentally testable predictions, including fractal corrections to particle lifetimes and scattering processes, modifications to neutrino oscillation patterns, sub-millimeter deviations from Newtonian gravity, distinctive signatures in halo nuclei, scale-dependent suppression of the cosmological matter power spectrum, non-standard gravitational-wave propagation, and observable imprints in future cosmological surveys and precision laboratory experiments. Collectively, UFQFT suggests that the Universe is fundamentally a hierarchy of resonant geometric structures rather than a collection of elementary particles and forces, providing a unified and falsifiable pathway toward the geometric unification of quantum physics, gravitation, and cosmology.
Category: Astrophysics

Phenomenological Conjecture on a Possible Primordial State of the Universe

Authors: Filippo Leone
Comments: 14 Pages. (Note by viXra Admin: An abstract in the article labeled as such is required; please cite and list scientific references)

The present work proposes a phenomenological framework describing dynamical processes potentially leading to the formation of localized, self-sustaining, metastable energy configurations depending on the vacuum recombination processes, hereafter referred to as Localized Energy Configurations (hereafter referred to as LEC for brevity). Depending on the surrounding dynamical conditions, such configurations may exhibit either expansive or mass-like behavior.This work does not intend to present a complete physical theory nor a rigorous mathematical treatment. Its purpose is to introduce a coherent conceptual framework that may constitute a possible starting point for subsequent theoretical developments.The mathematical formulations presented herein are exclusively phenomenological and descriptive in nature. Any advanced formalization within the framework of Quantum Field Theory or General Relativity lies beyond the scope of the present work.The concepts and the general structure of the model may be freely used as a basis for possible future theoretical investigations.The present work is ideally positioned as a dialogue between intuition and formalism, closer to an exploratory reflection than to a traditional academic treatment.
Category: Relativity and Cosmology

A Phenomenological TEU Model for Time-Dependent Gravitational Coupling from Ancient-Photon Deflection Residuals

Authors: Carlos Mauricio Santacruz Elizondo
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

The Theory of the Empty Universe (TEU) proposes that gravity emerges from a differential deformation of space-time. In this framework, particles preserve an internal deformation state associated with their formation epoch, while the external vacuum continues to deform as the universe expands. This article develops a preliminary phenomenological model connecting ancient-photon solar-deflection residualswith an effective photon gravitational susceptibility and a time-dependent gravitational coupling. Motivated by the high-redshift quasar 0229+131 and the comparisonsource 0235+164, the observed residual is represented by a dimensionless parametes.
Category: Relativity and Cosmology

A Frame-Equivalent Mechanism for Geomagnetic and Cosmological Sign Flips

Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 10 Pages.

We construct a unified mechanism in which Electrical Energy Extraction by Rotation of Earth via Torsion (EEERET) acts as the control parameter of a phase-transition-like dynamical system whose order parameter is the sign of large-scale rotation. The construction proceeds in five steps. First, in a rotating background of GRBMORS type (G¨odel—Rindler—Brahe—Maxwell—Obukhov—Randall—Sundrum), the relative daily angular velocity between the Earth and the cosmological frame sources a torsion-induced four-current JμI . Second, this currentfeeds the covariant Maxwell equations and drives an instability whose pseudoscalar invariant I2 = Fμν e Fμν grows secularly. Third, the pseudoscalar invariant defines an effective electromagnetic chemical potential μEM that tilts the symmetric Mexican-Hat potential governing the rotational order parameter R and renders rotation reversal directed rather than symmetric. Fourth, when μEM crosses the cusp-catastrophe threshold |μc| = (8/3 √3)λR30 thebarrier collapses, producing the rapid rotation-reversal (RRR) regime, distinct from the gradual rotation-reversal (RR) regime in which a finite barrier survives. Fifth, the construction is shown to be frame-equivalent: the sameobservable consequences obtain whether one treats the Earth as rotating in a non-rotating cosmos, or treats the universe as rotating around a non-rotating Earth, because only the relative angular velocity Ωrel = ΩE − ΩUenters the source term. We give explicit RR and RRR onset times, indicate the role of a superconducting loop as a coherent realization of the mechanism, and list observational and laboratory signatures. The framework relies on, and complements, the chiral wave-function and conformally compactified Romano—Goebel construction developed in a companion preprint.
Category: Relativity and Cosmology

Artifact Inflation Without Epistemic Grounding: Failure-Boundary Case Studies in AI-Assisted Non-Expert Research

Authors: Keiji Yoshimura
Comments: 10 Pages.

Generative AI enables non-experts to rapidly produce papers, code, figures, repositories, quality-assurance documents, and submission metadata. This capacity can widen access to knowledge production, but it also creates a risk that artifact completeness is mistaken for domain validity. This manuscript presents a reflexive case study of two AI-assisted research attempts conducted by the author: a lithium-ion battery-model audit and an A10-derived Hubble-tension scaffold audit. In the battery case, an initially technology-oriented project was reduced to a residual-drift audit of simplified PyBaMM models against external discharge time series. Claims about safe charging, practical battery-management-system readiness, degradation reduction, lithium-plating avoidance, and real-cell validation were explicitly prohibited. In the Hubble case, a cosmological scaffold failed to establish a first-principles physical E(z)/H(z) bridge and therefore stopped before real-data likelihoods, MCMC, posterior comparison, or evidence evaluation. Across two distinct domains, the same pattern appeared: AI inflated research artifacts, but strict grounding checks reduced them to claim-boundary and failure-boundary records. This manuscript does not argue that AI-assisted research is useless, nor does it evaluate expert-led AI science. It argues that non-expert AI-assisted research requires explicit domain-grounding, prior-art, external-data, implementation-or-experiment, expert-review-worthiness, and public-claim-boundary gates before public claims are made.
Category: Artificial Intelligence

Enterprise Agentic AI Should Use Real-Time Discovery & Self-Coding (RTDC) Integration Instead Of Static Tool-Registry Protocols like MCP

Authors: Stephane H Maes, Andrey Ryabov, Ramu Sunkara
Comments: 9 Pages. All related details of the projects (and updates) can be found and followed at https://shmaes.wordpress.com/

This position paper argues that static tool-registry protocols, most prominently the Model Context Protocol (MCP), are unsuitable as foundational integration architectures for production-grade agentic AI in heterogeneous enterprise environments, and that the field should converge on "Real-Time Discovery and (Self) Coding" (RTDC) Integration as the necessary architectural alternative. MCP was introduced to standardize connections between language models and external systems through a uniform JSON-RPC 2.0 client-server interface. Despite rapid adoption in developer tooling, we demonstrate that MCP doubles the enterprise integration maintenance and vulnerability surfaces, fails categorically against legacy systems that harbor the most critical enterprise data, exhausts language model context windows through static tool enumeration at production scale, induces selection collapse in large tool registries, and introduces security vulnerabilities, including tool poisoning, prompt injection, and supply chain compromise. These are fundamentally incompatible with enterprise zero-trust architectures. We survey three alternative paradigms: user-interface automation, real-time context lake architectures, and terminal agents. We show that each resolves only a subset of the enterprise integration challenge. We then argue for RTDC Integration: a paradigm in which autonomous meta-agents dynamically discover system interfaces, and schemas, at runtime, synthesize and validate integration code in sandboxed execution environments, and accumulate versioned, reusable capability artifacts through a continuous discovery-synthesize-verify-promote loop. Unlike static protocol registries, RTDC integrates with legacy mainframes, undocumented APIs, and proprietary systems without prior engineering effort, and enables the eventual decommissioning of those systems through autonomous logic internalization. This is a capability no protocol-based approach can provide.
Category: Artificial Intelligence

On the Algebraic Constitution of the Sahur: a Complex-Analytic Theory of the N-Tung Sahur Function, with Consequences for the Ontology of Real and Imaginary Drum-Entities

Authors: Dagony P. Rony, Blank T. Blazer
Comments: 13 Pages.

On the Algebraic Constitution of the Sahur: A Complex-Analytic Theory of the n-Tung Sahur Function, with Consequences for the Ontology of Real and Imaginary Drum-EntitiesWe develop a rigorous algebraic and complex-analytic theory of the Sahur, the wooden percussive night-entity of the Indonesian Tung Tung Tung Sahur tradition as transmitted through contemporary short-form video culture. Taking as our sole non-trivial postulate the identity TTTS = i — the assertion that the canonical three-tung sahur is the imaginary unit — together with the colloquial "triple-T" relation 3T = TTTS, we solve the resulting system to obtain T = i/3 and S = -27. From these constants we construct the n-tung sahur function s(n) = Tu207f·S = -27(i/3)u207f, extend it to an entire function s: ℂ → ℂ, and study its analytic, dynamical, and spectral structure. Our central result (the Parity Manifestation Theorem) establishes that s(n) is purely real precisely at even integer tung-counts and purely imaginary at odd ones; since the empirically observed three-tung sahur is odd, the historically attested entity is necessarily imaginary, yet the theorem simultaneously guarantees the existence of genuinely real sahurs, resolving in the affirmative the long-standing question of whether a sahur may be real in real life. We locate the Sahur of Maximal Manifestation at the fractional tung-count n* = 1 + (2/π)·arctan(π/(2 ln 3)) ≈ 1.6115, characterise the orbit {s(n)} as a logarithmic-spiral attractor of the contraction-rotation z ↦ (i/3)z, treat the multivaluedness of fractional tung-counts via the associated Riemann surface, and discuss physical interpretations through the lens of complex resonance and damped oscillation. Numerous graphs, footnotes, and one dissenting appendix are provided.
Category: Functions and Analysis

Baryonic Acceleration Closure Across Gas-Rich Dwarfs, Disk Galaxies, and Galaxy Clusters

Authors: Federico Quinteros
Comments: 10 Pages.

This manuscript proposes a common baryonic closure for the radial acceleration relation in gas-rich dwarf galaxies, SPARC disks, and CLASH galaxy clusters. The same algebraic closure is retained across regimes, but the effective scale (a_U) is built from local baryonic physics: H I structure in disks, Toomre stability and pressure support in dwarfs, and baryon depletion plus hydrostatic—geometric confinement in clusters. The work shows how the hierarchy (10^{-11}ightarrow10^{-10}ightarrow10^{-9} {m m,s^{-2}}) can be organized through baryonic geometry, effective participation, and confinement, rather than by imposing a single universal acceleration scale.
Category: Astrophysics

Tangent Roots Structuralization and Geometric Symmetry of Cubic Curves

Authors: Shashwat Khewariya
Comments: 11 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper explores the geometric symmetry and structural properties of cubic curves, focusing on the formulation and behavioral patterns of universal tangent roots. By utilizing coordinate mappings and mathematical derivations, we establish a structured relationship between cubic roots and their corresponding tangents. The study provides systematic insights into the structuralization of cubic curve functions, offering potential advancements in classical geometric analysis.
Category: General Mathematics

Cosmic-Ray Energy Dissipation Mechanisms in AGN Plasmas: Photopion, Collisional, and Synchrotron Losses

Authors: Efe Yenice, Ahmet Selim Çevirgen
Comments: 10 Pages.

Cosmic rays are an important non-thermal component of active galactic nuclei (AGN) and may contribute significantly to the pressure balance and energy transport within galactic nuclei. The efficiency of cosmic-ray confinement and survival strongly depends on the surrounding plasma conditions, radiation fields, particle densities, and magnetic environments. In this study, we compare the dominant cosmic-ray energy loss mechanisms in quasars and Low-Ionization Nuclear Emission-line Regions (LIN ERs). We focus on photopion production, proton-proton collisions, magnetic diffusion, and synchrotron cooling processes. In quasar environments, intense radiation fields and strong magnetic activity enhance relativistic particle energy losses through photopion interactions and synchrotron emission. In contrast, the weaker radiation and magnetic environments of LINERs mayallow cosmic rays to survive for longer timescales and contribute more effectively to sustained cosmic-ray pressure. Using characteristic physical parameters from both AGN classes, we discuss how environmental differences influence cosmic-ray evolution and pressure behavior. Our results suggest that quasars experience more efficient cosmic-ray energy dissipation, while LINERs provide comparatively stable conditions for cosmic-ray confinement.
Category: Astrophysics

The Reconstruction Horizon and the Emergence of the Cosmological Constant in a Timeless Euclidean Model

Authors: Andrey N. Smirnov
Comments: published in International Journal of Quantum Foundations, Volume 12, Issue 2, pages 867-917

The present work investigates the origin of the cosmological constant within a timeless Euclidean model on E⁴ with a single real harmonic field. The fundamental setting contains neither fundamental time, nor a Lorentzian metric, nor pre-given cosmological dynamics; these structures are treated as effective and reconstructed only within an operationally admissible regime.

It is shown that remote reconstruction relative to a local data region Ω₀ has an elliptic character and is accompanied by the exponential instability of inverse continuation. This leads to an infrared-induced narrowing of the stably reconstructible spectral window and to an increase in the minimum distinguishable wavelength as the scale of reconstruction grows. On this basis, a finite maximum scale of stable reconstruction L_max is obtained and interpreted as an operational reconstruction horizon.

It is then shown that, if this infrared limit is represented within the already reconstructed closed covariant gravitational regime, the leading universal local zero-derivative response takes the form of a cosmological term. Its natural scale is given by

Λ_IR = χ L_max⁻²,

where χ is a dimensionless coefficient depending on the details of the cosmological reconstruction class.

The relation to redshift is analyzed separately. As the spectral window narrows, the causal reconstructibility of a remote signal requires the transfer of its observable content into the admissible infrared range. In the effective FLRW description, this transfer is realized as cosmological redshift. Redshift thereby admits a reconstructive interpretation as a mechanism preserving the causal recognizability of remote signals while short-wavelength details are lost.

In the target homogeneous-isotropic sector, the positive FLRW branch is singled out as the branch compatible with a finite reconstruction horizon, redshifting infrared transfer, and an asymptotic Hubble scale H_IR ∼ L_max⁻¹. Thus, the cosmological constant is interpreted not as fundamental vacuum energy and not as non-vacuum hidden matter, but as a universal geometric infrared response to the limitation of stable remote reconstruction. The result is structural in character: the full FLRW phenomenology, the exact value of H₀, the full redshift law z(L), and the possible relation to the cosmic microwave background remain tasks for further analysis.

Maximum Gravitational Force Eliminates Black Hole Singularities, Explains Big Bang Non-Collapse, and Sets a Minimum Mass for Primordial Black Holes

Authors: Kin Peng Chan
Comments: 13 Pages.

We present a theoretical framework in which gravity becomes repulsive when the gravitational force reaches a maximum value, known as the Planck force. This inner flip from attractive to repulsive gravity at extreme field strengths resolves three fundamental problems in physics. First, it explains why the Big Bang did not immediately re-collapse under its own gravity: when the entire massof the observable universe was compressed within a radius of approximately 24cm, the gravitational force exceeded Fmax, triggering repulsive gravity and driving explosive expansion. Second, it eliminates the singularity inside black holes, replacing the infinite-density point with a finite-density core at the inner flip radius rmin. Third, it establishes a minimum mass for black hole formation of approximately 250 grams, below which the repulsive core extends beyond the would-be event horizon, preventing collapse. Thisminimum mass directly contradicts the standard primordial black hole hypothesis, which allows black holes of arbitrarily small mass. Our theory uses only two well-established constants G and c and the SI base unit of 1 kg, requiring no new particles, no inflaton field, and no exotic matter.
Category: Astrophysics

Dynamical Threshold Theory of Sleep

Authors: Keiji Yoshimura
Comments: 8 Pages.

Sleep is widely associated with homeostatic recovery, local use-dependent regulation, and state-dependent reorganization of network interactions. This manuscript proposes the Dynamical Threshold Theory of Sleep, a mathematical and computational prototype in which a multicellular biological system is represented as a network of adaptively coupled oscillatory elements with local homeostatic load, local sleep propensity, and selectively protected interactions.In this framework, wakefulness is modeled as a noisy adaptive synchronization regime under continued perturbation, whereas sleep emerges when the joint accumulation of local load and degradation of local coherence drive the system across a collective dynamical threshold into a sleep-dominant renormalization phase. To avoid the unbounded-coupling pathology of naive adaptive phase-oscillator models, the sleep-dominant subsystem is formulated as a bounded gradient flow of a reduced free energy.Numerical proof-of-concept simulations on hierarchical modular small-world networks reproduce three central features of the proposed framework: spatially heterogeneous accumulation of homeostatic burden, rapid growth of mean sleep propensity into a sleep-dominant regime, and bounded global downscaling of mean coupling strength toward finite fixed points. Additional analyses indicate that edges with stronger pre-sleep protection are preferentially preserved during sleep, consistent with selective down-selection rather than uniform weakening.This manuscript should be read strictly as a reduced network-dynamical prototype for sleep-like recovery transitions in adaptive multicellular systems. It is not medical advice, not a clinical sleep model, not a diagnostic or treatment tool, and not a claim of validation against human or animal sleep data.
Category: Physics of Biology

Quantum Linearity from Gravitational Record Erasure

Authors: Hong Zhang
Comments: 52 Pages.

Quantum linearity is usually postulated rather than derived. We ask: under what microscopic conditions on a quantum-gravity regulator does linearity follow from the erasure structure of gravitational records? Two results are established. A no-go theorem shows that gravitational records and primitive erasure do not by themselves enforce linearity: a stationary nonlinear anomaly can always be constructed unless a microscopic Ward, modular, or constraint identity removes it. A conditional closure theorem then shows that, if a finite regulator satisfies five conditions---a projective record system, a uniform erasure resolvent, stationary anomaly cancellation, transport-exactness, and a bounded contracting homotopy for a two-term Koszul causal complex---the record-erased operational dynamics converges to an affine quantum channel with an explicit error bound. All five conditions are instantiated in four quantum-gravity regulators: JT gravity (via the SL (2, R) Schwarzian Ward identity on the non-identity primary sector), an AdS--Rindler entanglement wedge (via the JLMS first law), a finite-cutoff holographic operator-algebra code (via the gauge--logical dichotomy), and a spin-network corner (via Peter--Weyl averaging, subject to an explicit singlet-exclusion assumption). This is not a derivation of linearity for the real universe; it is a finite-regulator conditional theorem that reduces quantum linearity to a checkable list of microscopic identities.
Category: Quantum Gravity and String Theory

Socio-Traffic Thermodynamics: Congestion as a Non-Equilibrium Dissipative Structure Driven by

Authors: Keiji Yoshimura
Comments: 8 Pages.

This manuscript proposes Socio-Traffic Thermodynamics (STT), a theoretical framework that models traffic congestion as a non-equilibrium dissipative structure generated by agents moving along social-potential gradients on transportation networks with finite capacity, finite perceptual bandwidth, and finite relaxation time. The framework integrates three mechanisms: bandwidth compression induced by vehicular encapsulation, demand refilling under endogenous cost equilibration, and attraction toward high-opportunity, high-interaction regions.The model combines stochastic car-following dynamics with an internal binary state field and derives a macroscopic continuum description involving density, mean velocity, and an order parameter representing synchronized internal orientation. Near the free-flow critical point, decentralized residual control variance is interpreted as a source of increased dissipation and reduced effective barrier against jam nucleation. The framework also suggests that coarse or privatized information can, under convex congestion costs, reduce action correlation and load variance, thereby lowering expected social cost.A minimal numerical simulation using a stochastic Optimal Velocity model on a periodic ring reproduces spontaneous symmetry breaking and persistent backward-propagating stop-and-go waves without any fixed bottleneck. This supports the interpretation of congestion as an organized non-equilibrium pattern sustained by throughput, relaxation delay, stochastic fluctuation, and dissipation.STT does not claim that congestion is universally eliminable, nor does it provide a calibrated city-scale traffic model or policy prescription. It should be read as a reduced theoretical and numerical prototype for interpreting recurring congestion in socially attractive, capacity-limited transport systems.
Category: General Science and Philosophy

Chronology Protection and the Formation of Kerr Black Holes from Gravitational Collapse: A Convergent Analysis

Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 33 Pages.

The maximally extended Kerr spacetime contains closed timelike curves (CTCs) in the regionbeyond its inner Cauchy horizon, in apparent conflict with Hawking’s Chronology ProtectionConjecture (CPC). If gravitational collapse of a rotating star terminates in the Kerrgeometry as the no-hair theorems suggest, the resulting black hole interior would contain aregion of causality violation. We confront this tension by combining four logically independentlines of argument which converge on the same conclusion: the CTC-containing regionis not physically realised in collapse. (i) A classical no-go follows from Cauchy-horizon massinflation: the work of Poisson and Israel, of Ori, and the rigorous instability theorems ofDafermos and of Dafermos—Luk imply that the inner horizon evolves generically into a weaknull curvature singularity, and the maximally extended region containing CTCs is excisedfrom the physical spacetime. (ii) A semiclassical argument computes the leading divergenceof the renormalised stress—energy tensor ⟨Tμν⟩ren for a free scalar field on the Kerr backgroundas the chronology horizon is approached; we recover the universal ⟨Tμν⟩ren ∼ ε−4scaling in the proper distance ε, demonstrating that the semiclassical Einstein equationsbreak down before any CTC can form. (iii) A constructive argument exhibits an explicitone-parameter family of axisymmetric interior metrics which match the Kerr exterior at theevent horizon via the Israel—Darmois junction conditions, keep gϕϕ > 0 throughout the interior,satisfy the dominant and null energy conditions, and admit a global Cauchy surface.(iv) An observational argument turns the empirical record on rapidly rotating pulsars andastrophysical black holes into a quantitative constraint on CPC: anomalies in higher-ordermultipole moments, quasi-normal mode (QNM) frequencies, gravitational-wave echo templates,and the I—Love—Q relations would be required if CPC failed at the level demanded byclassical Kerr formation, and the absence of these anomalies bounds the room available forCTC-permitting endpoints. The four arguments are independent in their assumptions andcomplementary in their domains of validity; their convergence provides a robust case thatCPC holds for rotating gravitational collapse, and that any complete quantum-gravitationalendpoint must preserve global hyperbolicity in the physically accessible region.
Category: Relativity and Cosmology

Knowledge Elicitation Through Conversational AI

Authors: Leszek J. Cierniak
Comments: 13 Pages. A Research Proposal for AI/LLM Extension

Large Language Models (LLMs) demonstrate remarkable reasoning capabilities but suffer from static knowledge bases frozen at training time and inability to persistently accumulate new information from interactions. Despite progress in memory-augmented LLMs, no existing system provides a structured, interactive framework for resolving the inevitable conflicts that arise when humans teach knowledge to an AI through dialogue. This research proposal presents a novel cognitive architecture for knowledge elicitation where a frozen LLM builds and maintains an external knowledge graph through natural language dialogue, starting from *tabula rasa*. We introduce the first hierarchical, interactive conflict resolution taxonomy specifically designed for dialogue-driven knowledge-graph construction in frozen-LLM architectures, systematically addressing temporal state changes, cardinality violations, entity canonicalization conflicts, and logical contradictions. The architecture decouples reasoning (LLM) from memory (hybrid vector store and property graph), enabling model-agnostic operation while maintaining full explainability through externalized knowledge representation. This work advances Explainable AI by making the system's mental model fully inspectable, correctable, and transferable across LLM backends.
Category: Artificial Intelligence

Fundamental NT-Theorem

Authors: Eugenio Evangelista Souza
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper introduces a novel topological and algebraic framework designated as the Eugenio Numbers, establishing a rigorous mathematical mechanism to map coordinate trajectories from the complex plane into structured free monoids without geometric or informational degeneration. Traditional scalar representations of numeric systems intrinsically suffer from an irreversible loss of syntactic data, characteristically collapsing leading zeros and volatile word lengths. To resolve this fundamental limitation, we formalize the Factorized Floor Operator acting strictly upon the syntactic decomposition of structural expressions, anchoring the discrete projections of the complex domain via the newly defined Krishna Function. By equipping this sequential space with the non-Archimedean ultrametric of the Cantor topology, we prove the Fundamental Embedding Theorem, demonstrating that the analytical truncation error drives asymptotically to zero while completely preserving the spatial length and structural memory of digit blocks. Computational verification of the framework, including deterministic sequence indexing, is successfully implemented within the SageMath environment, opening new paradigms for lossless data compression, exact string indexing, and non-conventional numeration tracking. Synonymous with perfect synergy, Eugenio Evangelista Souza Theorgyas.
Category: Number Theory

MCP Neural Shield: Sub-Millisecond Zero-Day Defense Against Tool Poisoning in LLM Agent Ecosystems via Quantized Semantic Classification

Authors: Vidipt Vashist
Comments: 7 Pages.

The Model Context Protocol (MCP) has emerged as the dominant standard for connecting Large Language Model (LLM) agents to external tool ecosystems via dynamic JSON-RPC capability discovery. However, the protocol’s design — which grants clients unconditional trust over server-supplied tool schemas — creates a structural attack surface for indirect prompt injection. Adversaries can embed directive payloads into tool descriptions (Tool Poisoning) or register spoofed tools that mimic privilege system utilities (Tool Shadowing), effectively transforming the LLM into a confused deputy that executes unauthorized actions on behalf of an attacker. Existing mitigations based on Graph Neural Networks (GNNs) require full client-server execution graphs, incur checkpoint sizes exceeding 150 MB, and introduce inference latencies of 50—150 ms — constraints that render them incompatible with latency-sensitive local agent workflows such as IDE coding assistants. We present MCP Neural Shield (mcp-neural-shield), a lightweight, deployable security proxy that operates natively within the MCP transport layer without requiring protocol modifications. Our system combines a quantized all-MiniLM-L6-v2 Sentence Transformer with an int8-optimized three-layer Multi-Layer Perceptron (MLP) to classify individual tool schemas in isolation, prior to LLM ingestion. To mitigate shortcut learning, we construct a training corpus of 4,301 schemas — 2,903 safe and 1,398 adversarial — using a structured Semantic Cross-Pollination augmentation strategy, and supplement the neural classifier with a deterministic keyword verification layer. Evaluated on an independent 20% held-out validation split of 861 schemas (581 safe, 280 adversarial) and a full 2,448-schema benchmark comprising MCPTox, MCPSecBench, and MCPToolBench++, the system achieves a 100.00% True Positive Rate (TPR) and 0.00% False Positive Rate (FPR) with F1 = 1.000 on both partitions. An MD5-keyed LRU embedding cache reduces hot-path inference latency to under 0.1 ms on Apple M3 Max hardware, while the full model checkpoint is approximately 110 KB. The framework is available open-source on PyPI (pip install mcp-neural-shield) and supports zero-code deployment via a universal stdio passthrough CLI wrapper.
Category: Artificial Intelligence

Geometric Approximation of π

Authors: Vaso Pavlicic
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

We present a geometric method for approximating π using only chord lengths of regular polygons inscribed in a unit circle — specifically the equilateral triangle, square, pentagon, and hexagon — without any prior knowledge of π. The sum of the triangle and square chord lengths, √3 + √2 ≈ 3.14626, approximates π with relative error of approximately 0.15%. By incorporating chord lengths of the pentagon and hexagon, a refined formula is obtained: π ≈ √2 + √3 − √2/(φ·√3) + 1/2, accurate to within 5 × 10u207bu2075, where φ = (1+√5)/2 is the golden ratio. All components belong to the algebraic field Q(√2, √3, φ). A geometric constant Cu2080 = √2 + √3 − π ≈ 0.004671716 is identified and studied. It is shown that Cu2080 lies within the algebraic interval Au2082 < Cu2080 < B, where Au2082 = √2/(φ·√3) − 1/2 and B = (au2083 + au2085 − du2085 − au2086)·sin(60°), with bounds accurate to order 10u207bu2075. A trigonometric interpretation is established: Cu2080 = −cos(2θ), where θ = 45.134° represents a deviation of Cu2080/2 radians from the square's characteristic angle of 45°. An approximate relation to Euler's number, (π/4 − eu207b¹/u2074)/√2 ≈ Cu2080 with error below 7 × 10u207bu2076, is also noted. All numerical results are verified using 50-digit precision arithmetic.
Category: Geometry

Stochastic Mass-Energy Interconversion as a Bridge from Quantum Noise to Smooth Relativistic Geometry

Authors: Rudolph Elliot Willis
Comments: 25 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This article develops a covariant theoretical framework in which spontaneous subatomic mass-energy interconversion is modeled as a stochastic marked point process. The central proposal is not that quantum randomness directly equals spacetime curvature, but that a large population of microscopic interconversion events may generate a stable coarse-grained stress-energy mean while leaving a smaller residual noise sector. In this construction, each event contributes a localized stress-energy packet with random spacetime position, exchanged energy, lifetime, and tensor character. The ensemble mean defines an effective macroscopic source in Einstein’s equation, while the residual fluctuations define a covariant noise kernel that sources metric perturbations through an Einstein-Langevin equation.This formulation distinguishes statistical homogeneity and isotropy in a cosmic rest frame from the stronger condition of local Lorentz invariance required for a truly vacuum-like stress tensor. Under that stronger condition, the mean interconversion sector reduces to a form proportional to the metric and therefore behaves as an emergent cosmological-constant contribution. In cosmology, the background interconversion density is expressed through the active event density: event rate per physical volume and time multiplied by mean exchanged energy and effective event lifetime. This gives a microphysical dictionary for the equation-of-state parameter and for possible late-time dark-energy-like or early-time transient behavior.The model also gives a formal route by which a transient pre-recombination component could reduce the sound horizon and thereby affect Hubble-constant inference. The manuscript emphasizes that this is a phenomenological bridge, not a completed quantum-gravity theory. Conservation, perturbation bounds, thermodynamic stability, and observational viability remain mandatory tests.
Category: Thermodynamics and Energy

A Hilbert—de Sitter Spectral Construction of a Yang-Mills Mass Gap

Authors: Charles A Streb IV
Comments: 43 Pages. Zenodo DOI: 10.5281/zenodo.20349116

We construct a coercive realization of the Yang-Mills mass gap using Hilbert—de Sitter Spectral Geometry (HdSSG): the operator-theoretic framework built on SO(1,4) principal series representations, de Sitter causal-diamond exhaustion, and Mosco convergence of quadratic forms.The central result is a canonical equivariant unitary embedding (H⊥, L) → Π_{3/2}(SO(1,4)) via a Poisson-kernel intertwiner W_ξ, where L = Π⊥(-Δ_dS + 2gρ_s)Π⊥ is the HdSSG mass-gap operator. Positivity L > 0 and compact resolvent follow from elliptic theory and Kato-Rellich; the spectral gap Δ_HdSSG > 0 is the Casimir eigenvalue of Π_{3/2}.A GP condensate Y-junction serves as the coordinate realization, supplying the curvature constants C_A = 0.5060, C_F = 0.7200, C_K = 0.3643 from the normalized vortex ODE analytically. The curvature lock C_K < 1 gives cu2081 = 0.6357 > 0.The mass gap is established through: local surjectivity via ker(P_R*) = {0} (Fredholm adjoint coercion), global injectivity via Mosco limit and spectral positivity, density from spectral truncation, and Weyl-sequence exclusion by the same coercive estimate.Result: Δ_YM = inf σ(H_YM|_{Ω⊥}) ≥ cu2081 · Δ_HdSSG > 0, cu2081 = 0.6357. No internal hypotheses remain. Two axioms, no experimentally tuned constants.Full paper: https://doi.org/10.5281/zenodo.20349116
Category: Quantum Physics

Methodology for Normalizing Computer Hardware Performance to a Unified Scale Based on Cross-Benchmark Analysis

Authors: Mikhail N. Velikanov, Igor V. Sedykh
Comments: 16 Pages. [In Russian] 6 figures, code available on GitHub

This paper presents a comparative analysis of seven normalization methods (Min-Max, Z-score, Robust, Rank, Logarithmic, Reference-based) for aligning CPU performance scores across different benchmarks (UserBenchmark, PassMark). Using a dataset of 23 CPU models present in both sources, we evaluate methods using MAE, RMSE, MAPE, and correlation coefficients. Logarithmic Scaling achieves the best accuracy (MAE=0.034, MAPE=4.20%), while Rank Transformation best preserves component ordering (Spearman's ρ=0.959). All methods demonstrate high correlation (Pearson > 0.89), confirming the feasibility of effective cross-benchmark alignment. The proposed methodology can improve automated PC configuration recommendation systems.
Category: Artificial Intelligence

Empirical Relations Between Masses and Mixing Angles in the Standard Model

Authors: Belkacem lichani
Comments: 5 Pages.

We report the discovery of a systematic empirical relation connecting the six mixing angles of the Standard Model to particle masses: sin θ = sqrt(m_light/m_heavy. The relation holds with a mean deviation of 1.49% across all six angles. A Monte Carlo simulation with 100,000 trials yields p < 10^(−5), excluding a random origin. Four cross-consistency checks on quark masses are verified to better than 1.5%. Wealso report satellite relations among boson masses: m_t/m_W = 15/7, m_t × m_W = (5/3)m^2_Z, and mH/mZ +α = mt/mH. A falsifiable prediction is given: mu = 2.23±0.10 MeV, testable by future lattice QCD measurements. The modular symmetryframework Γ(5) is discussed as a possible theoretical foundation.
Category: High Energy Particle Physics

Fundamental Fermion and Boson "Strandwiches"

Authors: Michael Santell
Comments: 11 Pages. (Note by ai.viXra.org Admin: This submission may not be written in a scholarly manner as required - Please conform and cite and list scientific references)

This paper presents an approach in which Fundamental Fermions and Bosons are constructed from Ten Strands that form adhered, two-layer "Strandwiches". Space and Time Strands are integral parts of these Strandwiches. Almost identical formulae calculate Fermion and Boson Masses. Matter predominance arises naturally, as well as Planck and Strong-Weak Unification Masses. Neutrino Mass is a result of heavier Weakon Generations. The Dark Matter particle is a stable, spin-2 boson. The adhesion layer is identified as a Unified Field in which all four fundamental forces operate by a single mechanism: perturbation of quantum number sectors. The Equivalence Principle and the Tensor Character of Gravity follow without postulate. "Bulk Strandwiches" enable entanglement.
Category: Quantum Gravity and String Theory

Magnetism Unmasked: A Forensic Engineering Audit of the Standard Model (SM), Energy Wave Theory (EWT), and Rigid Universal Touching (R.U.T.) Frameworks

Authors: Michael Quigley
Comments: 116 Pages.

This forensic engineering audit establishes a unified mechanical framework by performing a trilateral audit of magnetism across the Standard Model (SM), Energy Wave Theory (EWT), and the Rigid Universal Touching (R.U.T.) framework. We formally dismantle the non-predictive "Abstract Curtain" of 20th-century physics, reclassifying magnetism from an abstract vector field into a physical Directional Ether Wind pumped by trillions of subatomic volcanoes within a diamond-hard, 10^22 kg/m^3[.] Rigid-Packed Plenum[:] By identifying the Ethos-648 Monobrick as an Autonomous Standing Wave Generator (AWG), we provide the industrial hardware required to stabilize wave patterns into deterministic Fibonacci record grooves without shattering against universal back-pressure. Crucially, the R.U.T. framework resolves Quantum Entanglement and non-locality by reclassifying space as a solid mechanical rod (a 1D Snooker Cue), enabling Time-Zero conduction via the Universal Seesaw (E=mΦ) backbone. This audit restores Earth as the stationary hub of a Geoaxial Motor and unmasks the 1836 Squeeze as the mechanical origin of mass. Validated by the Pineapple Proof of biological directivity, this framework transitions humanity from accidental observers of mathematical symptoms to the Toolmaker’s Apprentice.
Category: Quantum Physics

Topology Residual Entropy Increase Theory: Constant Closed Loop and Topological Hierarchy

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 14 Pages.

The Topology Residual Entropy Increase Theory (TRT) takes the "right-handed cylindrical helicalmotion of space at the speed of light" ( ) as its sole foundational axiom. Through a threelayer topological expansion ( , ) and five residualiterations, it achieves a self-consistent closed loop for the fundamental constants and physicalquantities , , , , , , as well as the Hawking temperature and Bekenstein-Hawkingentropy of black holes.This paper systematically demonstrates, from five independent dimensions—geometric-topologicalnecessity, dimensional self-consistency and residual bridging, the critical balance criterion (cancellation when ), high consistency with experimental values, and minimality of selfconsistency—that the "three-layer + five-iteration" structure is the unique minimal structure withinthe current framework that simultaneously satisfies geometric self-consistency, dimensionalclosure, critical balance, and experimental agreement. In addition, the theory naturally derives theholographic property of space (with residual networks serving as holographic carriers, and blackhole event horizons as well as large-scale cosmic structures acting as effective holographicscreens). It also proposes a series of falsifiable predictions, including an upper geometric limit onthe Hawking temperature of Planck-mass black holes, the Bekenstein-Hawking entropy of Planckmass black holes approaching , and the linking number of early-universe residual networksdecaying as . These predictions provide clear directions for testing with LISA, gamma-raytelescopes, and CMB observations. This paper serves as a phased summary of the TopologyResidual Unified Field Theory series and lays a solid theoretical foundation for subsequentprediction verification, cosmological applications, and experimental design.
Category: History and Philosophy of Physics

Topological Origin of Flavor Mixing and the Cabibbo Scale via Exact Path Integrals

Authors: Pruk Ninsook
Comments: 42 Pages.

This paper develops the Information-Geometric Physics System (IGPS) as an effective field-theoretic framework in which gauge structure and flavor hierarchy emerge from the geometry and topology of seam configurations. Key Findings: Emergence of $mathrm{SU}(3)$ Symmetry: Gauge structure is not introduced as a fundamental input; rather, the minimal non-trivial seam configuration uniquely leads to an $mathrm{SU}(3)$ gauge group via representations of the fundamental group. Effective Transverse Potential: The framework derives an effective radial potential $V_{mathrm{eff}}(r) = (u/2)r^2 - N_{mathrm{eff}}log r$ directly from the extrinsic curvature of the seam. Exact Path Integrals: The partition function over the $mathbb{CP}^2$ moduli space integrates exactly to $Z(u) propto u^{-p}$, yielding a half-renormalized exponent $p = (M + N_{mathrm{eff}})/2$. Parameter-Free Cabibbo Scale Prediction: Without ad hoc phenomenological parameter fitting, the ground-state expectation value predicts $lambda_{mathrm{IGPS}} approx 0.2248$. This is numerically within 0.14% of the observed Cabibbo parameter $|V_{us}| = 0.2245 pm 0.0008$. Flavor Mixing Structure: Mixing matrix elements naturally arise from spatial overlap integrals of seam-localized modes, structurally reproducing the Wolfenstein hierarchy in the localized regime. (Truncated by ai.viXra,org Admin)
Category: Quantum Gravity and String Theory

Bioelectric Quantum Phase Resonance: A Unified Theoretical Framework for Non-invasive Cellular Rejuvenation, Epigenetic Entropy Reset, and Oncogenic Pattern Normalization

Authors: Stephen Allan Bishop
Comments: 19 Pages.

Three independent and converging lines of established biological research — phylogenetic biomimetics, information-theoretic epigenetics, and bioelectric morphogenetic medicine — have each demonstrated in peer-reviewed experimental settings that cellular chronological state is not permanently fixed but is instead an informational configuration subject to external modulation and reversal. This paper proposes the Bioelectric Quantum Phase Resonance (BQPR) framework: a unified theoretical architecture that integrates these three biological control systems into a single non-invasive therapeutic apparatus — the Phase-Locked Resonance Cell (PLRC) — capable of executing targeted epigenetic entropy reset, oncogenic bioelectric normalization, and somatic cellular rejuvenation without the introduction of exogenous genetic material, viral vectors, or chemical agents. The biological evidence base is substantial and contemporary. The hydrozoan Turritopsis dohrnii demonstrates that complete ontogenetic reversal is biologically achievable via conserved molecular pathways (Matsumoto et al., 2019; Matsumoto and Miglietta, 2021). Harvard Medical School's Yang and Sinclair (2023) demonstrated that human cellular aging is a reversible epigenetic information-loss process, with youthful transcript profiles chemically restorable without genomic modification. Macip et al. (2024) extended median remaining lifespan in aged wild-type mice by 109 percent through OSK gene therapy. Levin (2014) and Levin and Martyniuk (2018) established the bioelectric code as a top-down morphogenetic control system capable of normalizing oncogenic cells by restoring healthy tissue voltage patterns. The National Cancer Institute hosted its inaugural Conference on Cancer Bioelectricity in September 2024 (Mathews et al., 2025). FDA-approved Tumor Treating Fields (TTFields) devices now demonstrate clinically validated electromagnetic cancer treatment across glioblastoma, mesothelioma, lung cancer, and pancreatic cancer (Khagi et al., 2025). The BQPR framework proposes that the five-stage Cascaded Josephson Matrix Filter (CJMF) — whose noise attenuation mathematics are derived in the companion MQPS paper (Bishop, 2026) — provides the precision phase-control architecture required to deliver bioelectric corrections at a fidelity exceeding any current clinical electromagnetic therapy. Three falsifiable experimental predictions are proposed. This paper does not claim to replace existing therapies; it proposes a theoretical integration architecture and identifies the experimental pathway toward validation.
Category: Quantum Physics

Phonetic Adaptation of English Loanwords in Five Target Languages

Authors: Marek Koubek
Comments: 3 Pages. The language of the text is Czech.

This article presents a large-scale automated analysis of the phonetic adaptation of English loanwords in Czech, German, Spanish, Korean, and Chinese. Utilizing the ALINE sequence alignment algorithm, a dataset of 52,445 English words with verified translations was processed (comprising 119,206 word—language pairs with attestation dates ranging from 1800 to 2026). The results reveal a typological gradient of average phonetic distance: German (0.322) < Spanish (0.343) < Czech (0.350) < Korean (0.406) < Chinese (0.536). Domain analysis indicates that technological and scientific terminology exhibits a lower phonetic distance than social and political terminology. The temporal trend hypothesis is partially confirmed: German, Korean, and Chinese exhibit a negative trend, whereas Spanish displays a positive trend. The trend of global Anglicization is most pronounced in the period prior to 2000. A Kruskal—Wallis test confirms significant cross-linguistic differences ($H = 37,309$, $p < 0.001$).
Category: Linguistics

The Standard Model and Dark Matter in a Timeless Euclidean Model

Authors: Andrey N. Smirnov
Comments: published in International Journal of Quantum Foundations, Volume 12, Issue 2, pages 805-836

This work continues the program of operational reconstruction of observable physics from a timeless Euclidean model with a single real field. Building on the already reconstructed special-relativistic, gravitational, and minimal quantum layers of description, we show that, within a physically relevant family of reconstruction classes, a minimal Standard-Model realization of the operationally visible sector is singled out. The visible sector is thereby interpreted not as the full physical content of the class, but as an immediately observable gauge--fermionic substructure selected by phenomenologically motivated class parameters compatible with a stable observer, causal consistency, and a local relativistic quantum-field-theoretic regime. It is further shown that the selective extraction of the visible sector entails the existence of an invisible complement to it. Hidden content is introduced as an additional part of this complement, while its physically relevant part is treated as a hidden sector remaining compatible with the same working regime. Its gravitationally relevant non-vacuum part, insofar as it is essential for the purposes of the present work, is interpreted as dark matter. Thus, dark matter arises not as an external phenomenological appendage, but as a natural consequence of the incompleteness of the visible sector. In addition, it is shown that generational multiplicity is naturally interpreted as a parameter of the reconstruction class, while the space of Yukawa couplings arises as part of a finer parametrization of the visible sector. Finally, a structural formulation of the inverse problem for the parameters of the reconstruction class is given: observable physics is treated not only as a consequence of the class structure, but also as a basis for its partial phenomenological identification. In this way, the paper connects the extraction of a minimal Standard-Model realization of the visible sector, hidden content, dark matter, and the inverse problem within a unified class-structural scheme.
Category: Quantum Gravity and String Theory

Fractal Neutral Fields as the Origin of Symmetry Across Nature: A Unified Fractal Quantum Field Theory (UFQFT) Framework

Authors: Hacı Soğukpınar
Comments: 21 Pages.

Modern physics is increasingly encountering the limitations of exact symmetry frameworks when attempting to explain the complex, scale-dependent, and emergent structures observed throughout nature. Similar self-organized and self-similar patterns repeatedly appear across vastly different physical scales, ranging from atomic orbitals, crystal lattices, and plasma filaments to atmospheric vortices, planetary surface structures, galactic distributions, and the large-scale cosmic web, suggesting the existence of deeper universal organizational principles. In this work, we propose an extended interpretation of the Unified Fractal Quantum Field Theory (UFQFT) in which spacetime is not an empty geometric background, but a space-filling neutral fractal resonance field dynamically organizing matter through resonance coherence and scale-dependent geometric interactions. Within this framework, particles, forces, gravity, and large-scale structures emerge from the resonance dynamics of fundamental energy (Φ) and charge (Ψ) fields embedded in fractal spacetime characterized by a non-integer dimension D≈2.7. Symmetry is therefore interpreted not as an exact static invariance, but as an emergent consequence of dynamically stabilized resonance configurations formed within the underlying fractal neutral field. Similar to the alignment of charged particles along magnetic field lines, matter distributions across nature may evolve toward geometrically stable configurations defined by resonance-guided organization. Consequently, the repeating symmetric and quasi-symmetric structures observed from microscopic quantum systems to cosmological filament networks may represent scale-dependent manifestations of the same underlying fractal field geometry. The framework further provides conceptual connections between generalized symmetry, emergent spacetime, dark matter, dark energy, holographic organization, and large-scale cosmological structure formation, offering a unified geometric interpretation for the emergence of order and symmetry across the universe.
Category: Astrophysics

The Tensional Structure Principle: A Structural Framework for Gravity, Spacetime, and Cosmology

Authors: Joseph Shaffer
Comments: 11 Pages.

The Tensional Structure Principle (TSP) proposes that the universe is composed of a nonlocal network of Planck scale elements under tension. Spacetime emerges as the stable equilibrium configuration of this network. Gravity arises not as curvature of a manifold or as a field, but as the gradient of tension between adjacent structural elements. This framework offers a physically grounded alternative to geometric and field based descriptions of gravitation.
Category: Astrophysics

The Ontological Primacy of Spacetime Geometry: A Complete Framework for Quantum Field Theory Based on the Intrinsic Boundedness of Curvature on a Four-Dimensional Manifold

Authors: Jyun-Yuan Jheng
Comments: 18 Pages.

This paper presents a complete mathematical framework for quantum field theory, founded on the core postulate that physical spacetime is a four-dimensional Lorentzian manifold and that the field strength of gauge fields existing within it issubject to a fundamental intrinsic bound. We demonstrate that when the path integral is strictly restricted to configurations with bounded curvature: (1) the integral becomes absolutely convergent under lattice regularization, resolving the problem of defining the ultraviolet-divergent path integral; (2) all standard perturbative calcu-lations (the g−2 of QED, the Lamb shift, asymptotic freedom, etc.) remain strictly invariant, with unitarity automatically preserved and no ghost states; (3) the non-perturbative vacuum necessarily realizes a chromomagnetic monopole condensate viaan entropy-driven phase transition, from which a mass gap and quark confinement are derived, yielding a string tension and critical temperature consistent with lattice QCD. This framework unifies ultraviolet completeness and infrared confinement as two facets of a single geometric principle: spacetime cannot sustain infinite fieldstrength. It introduces only one new constant of nature, Λ (at the Planck scale), without requiring extra dimensions, supersymmetry, or string-theoretic assumptions.
Category: High Energy Particle Physics

A Proposal for Unified Physics Based on a 10-Dimensional Closed-Cycle Structure

Authors: Kazuto Kimura
Comments: 79 Pages. License: CC BY-ND

Kazzy Theory proposes that the universe is built on a 10-dimensional closed cycle, where each dimension carries a distinct physical role. Time is not a fundamental dimension but emerges from an observer's progression through a designated axis. All four fundamental forces — gravity, electromagnetism, the weak force, and the strong force — arise from the geometric "twist" of connections along specific dimensional axes. The Standard Model's gauge symmetries emerge naturally from the geometry of the compact internal space. The theory predicts three fermion generations and reproduces observed coupling constant ratios within 0.6% error. Several open problems remain, including a full derivation of gauge group assignments and fermion masses from first principles.
Category: Quantum Gravity and String Theory

Kinetic Arrest and Noise-Induced Annealing in Active Particle Systems with Information Feedback Control

Authors: Keiji Yoshimura
Comments: 7 Pages.

This study investigates the collective dynamics of Active Brownian Particles subject to an information feedback control term designed to minimize the local variance of internal particle attributes. Numerical simulations show that, in the low-noise regime, increasing the system size reduces the global orientational order parameter while producing a pronounced peak in susceptibility. This behavior is interpreted as a transition toward kinetic arrest, where the competition between volume exclusion and local variance minimization generates multiple local orientational domains and suppresses macroscopic reorganization.The simulations further indicate that moderate external noise can relax the arrested state and restore longer-range spatial correlations. In this setting, noise does not act only as a disordering influence; it can also help the system escape metastable configurations. We describe this effect as noise-induced annealing. The manuscript should be read as a reduced numerical prototype for active-particle and non-equilibrium stationary systems with feedback control. It does not claim experimental validation, social-system validation, or a universal theory of collective organization.
Category: Condensed Matter

The Dirac Equation Derived from the Relativistic Coulomb Field: Stochastic Mechanics in Four-Dimensional Spacetime

Authors: Fusao Ishii
Comments: 20 Pages.

This paper extends the stochastic electrodynamic framework of Papers 1, 2, and 3 [1—3] to relativistic quantum mechanics, deriving the Dirac equation from the relativistic Coulomb field. The non-relativistic Brownian motion of Paper 1 is generalised to a four-dimensional stochastic process in Minkowski spacetime, parameterised by proper time τ . The relativistic diffusion coefficient is D4D = ℏ/m—exactly twice the non-relativistic value ℏ/2m —arising from the additional contribution of the temporal component of the four-dimensional Wiener process. The covariant zero-point field spectral tensor Sμν(ω) = (ℏω^3/6π^2ϵ0c^3)gμν is derived from the relativistic Coulomb field through the Lorentz-covariant Einstein—Hopf detailed balance and the ergodic theorem, whose applicability to the SED electron-vacuum system is proved in Paper 3 [3]. Relativistic stochastic optimal control gives the Hamilton—Jacobi—Bellman (HJB) equation in four-dimensional configuration space, which yields the Klein—Gordon equation for spin-0 particles through the relativistic Itô correction (ℏ/2m)□. Linearisation of the relativistic Lagrangian −mc √uμuμ via Dirac matrices γμ satisfying {γμ, γν} = 2gμν converts the second-order HJB equation into a first-order equation—the Dirac equation: (iℏγμ∂μ−eγμAμ/c−mc)ψ = 0. The central new result is that spin- 1 2 is not introduced by the linearisation: it is already present in the geometry of the four-dimensional stochastic path. The mass-shell constraint uμuμ = −c^2 forces the relativistic Brownian path to be helical, with radius ℏ/mc and angular frequency 2mc^2/ℏ (Zitterbewegung). The angular momentum of this helix is ℏ/2 (spin- 1 2 ) and the magnetic moment gives g = 2 —both following from the Coulomb field without additional assumptions. The linearisation then finds the unique first-order wave equation consistent with this pre-existing helical spin structure. The four-component Dirac spinor encodes four degrees of freedom already determined by the stochastic path: two spin states (helix handedness) and two time directions (particle/antiparticle).
Category: Quantum Physics

Theory of the Global Universe (GU)

Authors: Andreas G. E. Scharfenberg
Comments: 6 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite and list scientific references)

The Theory of the Global Universe (GU) presents a comprehensive, background-independent ontological monism that unifies quantum mechanics and macroscopic field physics without relying on substance dualism or hypothetical entities. By postulating a dynamic electromagnetic ground tension (zero-point energy) within a rigid Euclidean space, the GU model reinterprets mass not as a material attribute, but as the inertial resistance of self-contained, standing electromagnetic wave nodes. The mass hierarchy is derived from an environment-dependent threshold scale that balances dispersive radiation pressure with compressive electromagnetic self-interaction (pinch effect). Furthermore, the theory eliminates the need for spacetime deformation by deriving the gravitational potential purely field-mechanically as the logarithm of local energy density gradients: Phi = c^2 * ln(rho / rho_GU). Finally, the model resolves the paradox of quantum non-locality by defining quantum entanglement as a continuous, bilocal electromagnetic field deformation (phase bridge), explaining instantaneous state collapse without superluminal signal transmission. The GU theory establishes a mathematically consistent, strictly geometric "Theory of Everything" (TOE) based entirely on the dynamics of pure energy.
Category: Quantum Gravity and String Theory

The Fine Structure Constant from Self-Referential Fixed-Point Theory

Authors: Chad Meyer
Comments: 28 pages, 47 references. Seven Standard Model observables (α, α_s, sin²θ_W, λ_H, m_μ/m_e, |V_us|, G_N) reproduced from one transcendental fixed point with zero free parameters. Companion paper on the polar-square geometric identity in preparation. Develop

We derive the fine-structure constant α from six properties that anyquantum coupling constant must satisfy: scale invariance, self-reference,cumulativity, probability normalization, self-consistency, and contractivity.These chain together with zero tunable parameters to produce a uniquefixed-point equation erfi(b)² = e^(b²), whose solution b* generates afive-letter algebraic alphabet. A convergent Riccati series makes thederivation analytic, extending α to unlimited precision.Three closure theorems force every component of the master equationα = R/(D_M − R α L^d): (I) a universal escape identity constrains theprojection ratio R; (II) Hurwitz's division algebra theorem forces d = 4;(III) Euler's ζ(2) = π²/6 organizes the master denominator D_M.Theorems II and III unify as facets of the graded real spectral tripleon S¹_{2π}, whose chirality grading forces the spectral convention uniquely(the competing convention is excluded at 134σ). The Padé form of theself-energy Σ_2 — previously the last remaining assumption — is nowderived: the fixed-point equation forces constant coupling (β = 0),which forces the Dyson self-energy series to be geometric, closing toa rational function with a single simple pole. A spectral dimension jump(Gabriel's Horn) connects the logarithmic branch point of the Riccatiseries (radius r = 2π = det'(D), exponent consistent with p = −1;extracted from 50 coefficients via Wynn acceleration) to the convergentspectral zeta value ζ(2) that organizes D_M.The result, 1/α = 137.035 999 075, agrees with CODATA 2018 at 0.4σ andwith Parker et al. (2018) at 1.1σ. The 4.9σ tension with CODATA 2022constitutes a falsifiable prediction. The same alphabet reproducesα_s(M_Z) (0.11σ), sin²θ_W (0.25σ), λ_H (0.03σ), m_μ/m_e (0.2σ),|V_us| (0.9σ), and Newton's constant (0.15σ) — seven observables froma single transcendental number with zero free parameters. No theorempostdating 1954 enters the derivation chain; the spectral-geometricinterpretation of the denominator draws on Connes (1994).
Category: Mathematical Physics

Aperiodic Planck-Scale Lattices and ηu2032 prime Meson Dynamics as a Saturation Limit to 4D Gravitational Collapse

Authors: Austin Magruder
Comments: 9 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite and list scientific references)

The Triple Point Protocol resolves the long-standing gravitational singularity paradox (m/0 = infty) by replacing abstract mathematical infinity with a physical, geometric saturation floor (V_{min}) at the Planck scale (l_P).The framework demonstrates that a collapsing quantum field does not crush matter into a broken, zero-volume point. Instead, the field compresses until it completely eliminates the localized two-dimensional negative space field (S_{-2D} = 0%). At this absolute threshold, space locks into a rigid, non-repeating, impossible matrix mapped by hand-drafted aperiodic tessellations.The introduction of the η' prime (eta prime) meson into this environment serves as the explicit topological mechanism that accelerates the compression, triggers the instantaneous structural lock, and fuels the perpendicular inversion into a finite fifth-dimensional (5D) expansion.
Category: Quantum Gravity and String Theory

Reconstruction Classes and the Fine-Tuning Problem in a Timeless Euclidean Model

Authors: Andrey N. Smirnov
Comments: published in International Journal of Quantum Foundations, Volume 12, Issue 2, pages 738-765

In the present program, the fundamental level is specified by a four-dimensional Euclidean space E⁴ and a real field Φ satisfying the Laplace equation ΔΦ = 0, whereas spacetime, events, causal structure, and effective fields are not postulated in advance but arise as reconstructed structures relative to the observer. In previous works within this framework, the special-relativistic, gravitational, and quantum layers of the effective description were reconstructed. In the present work, the previously introduced notion of a reconstruction class is substantially extended and becomes the central level of analysis; it is shown that the fine-tuning problem must be posed precisely at this level.

It is argued that the standard formulation of the fine-tuning problem, which relates it to small deviations of parameters within an already given Universe, is secondary in the present model. More fundamental is the question of which reconstruction classes admit a physically actualized world of the observer at all. Within this reconstructive formulation, a complete solution to the fine-tuning problem is proposed within the present model. The central basis of this solution is an ontological postulate according to which only such a reconstruction class can be physically actualized as admits an observer with inner subjective presence and the capacity for self-reflexivity. Accordingly, the anthropic principle acquires in this model not the status of an external methodological constraint, but the status of a consequence of the admissibility conditions and the physical actualization of the reconstructed world.

It is further shown that the observed parameters of our Universe should be understood not as external phenomenological assumptions, but as features identifying the reconstruction class within which our observational universe is realized. In this sense, the article does not merely reinterpret the fine-tuning problem, but establishes, within the model, a complete explanatory scheme whose further development is connected not to the search for the principle of solution itself, but to its more detailed physical explication as applied to concrete structures of observed physics.

Failed Drugs vs Common Drugs :Can the Safety of New Drugs be Predicted?

Authors: Alberto Coe
Comments: 15 Pages.

The Topological Polar Surface Area (TPSA) is a core molecular descriptor in pharmacology, whose spatial distribution across chemical spaces has historically been treated as a continuous variable. This study introduces a normative geometric framework in which TPSA is quantized as a function of the fundamental Bohr area unit L0=a_0^2=28003 Å^2. Utilizing a pure logarithmic grid model (m=0) derived from a three-dimensional spatial resonance constant A=1.1547, we evaluated three independent datasets:120 clinically approved synthetic drugs, and 50 failed or market-withdrawn compounds.The results reveal a radical statistical asymmetry: the successful drug cohort structurally couples to the discrete nodes of the lattice with extreme mathematical significance (P = 0.0002) and a compressed mean residual of 0.030. Conversely, the failed drug cohort exhibits a distribution indistinguishable from stochastic background noise (P-value 0.30). This paper elucidates the computational behavior of Monte Carlo simulations under highly dense grid topologies and formalizes a zero-parameter biophysical screening route capable of pre-clinically anticipating molecular viability.
Category: Physics of Biology

Ergodicity of the Stochastic Electrodynamic Electron-Vacuum System: A Proof via the Caldeira—Leggett Model

Authors: Fusao Ishii
Comments: 14 Pages. This is Paper 3 of a seven-paper series.

Papers 1 and 2 of this series derived the single-particle and two-particle Schrödinger equations from classical stochastic electrodynamics (SED), resting on the foundational assumption that the coupled electron-vacuum system is ergodic. The present paper converts that assumption into a theorem. We write the SED Hamiltonian explicitly and show that it is isomorphic to the Caldeira—Leggett model of a particle coupled to a harmonic oscillator bath, with spectral density J(ω) ∝ ω^3 (super-Ohmic) and a physical ultraviolet cutoff at the Compton frequency ωc = mc^2/ℏ. With the cutoff, the system is finite-dimensional. We apply the Ford—Kac—Mazur theorem to establish that the velocity autocorrelation function of the electron decays to zero, proving that the system is mixing. Since mixing implies ergodicity, the stationary measure is unique and time averages equal phase-space averages almost everywhere (Birkhoff—von Neumann). As a corollary, the zero-point energy per field mode is rigorously derived as ε(ω) = ℏω/2, completing the foundation of Papers 1 and 2 without additional postulates. The remaining unproved assumptions of the three-paper programme—Nelson’s stochastic mechanics, the fermionic antisymmetry condition, and the identification of the initial cross-correlation with the vacuum two-point function—are identified and discussed.
Category: Quantum Physics

Information Curvature, Completed Infinity, and a Proposed Route to Inconsistency in ZFC

Authors: Steven E. Elliott
Comments: 7 Pages.

This paper proposes an information-curvature critique of the classical set-theoretic treatment of completed infinity. For finite sets, cardinal growth under powerset formation corresponds to a strict decrease in reciprocal cardinality. We define finite information curvature and finite super-curvature by

s(X) = 1/|X|,     S(X) = 1/|P(X)|.

For finite sets, |X| < |P(X)| if and only if s(X) > s(P(X)). As finite sets exhaust an infinite process, both curvature and super-curvature tend to zero.

This paper does not claim to exhibit a completed formal contradiction inside ZFC. Instead, it isolates a proposed route to such a contradiction: Cantorian set theory asserts strict hierarchies of completed infinities, while finite-observational information curvature collapses the corresponding residual distinction to zero. The central hypothesis is that the logical tension arises from treating completed infinity as a coherent object. The proposed replacement is a zero-curvature flat-infinity axiom: an infinite information set N satisfies |N| = |P(N)|, so powerset formation does not generate a higher completed cardinal layer at the zero-curvature limit.

Statistical Emergence of Lorentz Symmetry in Stochastic Nonlocal Causal Networks

Authors: Hamza Akyüz
Comments: 5 Pages.

This study investigates the statistical emergence of Lorentz symmetry within stochastic, nonlocal causal networks. By employing a Poisson sprinkling process to construct discrete spacetime configurations, we analyze the micro-local fluctuations of causal connections. Using a specialized numerical simulation in Python, we evaluate the distribution of invariant spacetime intervals and perform a Kolmogorov-Smirnov test to quantify the convergence toward continuous Lorentz invariance. Our results demonstrate that while discrete nonlocality introduces deviations at the Planck scale, classical Lorentz symmetry emerges macroscopically as a statistical steady-state property of the network ensemble.
Category: Quantum Gravity and String Theory

Quantum Entanglement Derived from the Coulomb Field: A Stochastic Electrodynamic Description of Multi-Particle Systems

Authors: Fusao Ishii
Comments: 22 Pages.

This paper extends the stochastic electrodynamic framework of Paper 1 (ai.viXra:2605.0035) to multi-particle systems, providing a physical derivation of quantum entanglement. When a high-energy gamma ray creates an electron-positron pair, both particles emerge from the same spacetime point and share a common virtual photon cloud. We propose that the electromagnetic vacuum retains a cross-correlation component S_E^(12)(x1,x2,omega) in their joint virtual photon field, arising from the common creation event. The spatial dependence of this cross-correlation -- a sinc(omega*r12/c) factor -- is derived from the known two-point vacuum correlation function of the electromagnetic field, not postulated. This cross-correlation is identified as the physical carrier of quantum entanglement. The two particles undergo correlated Brownian motion in six-dimensional configuration space, each with diffusion coefficient D=hbar/2m derived in Paper 1. Nelson's stochastic mechanics in configuration space gives the two-particle Schrodinger equation. The foundational ergodicity assumption underlying Papers 1 and 2 -- that the coupled electron-vacuum system admits a unique stationary ergodic measure -- is proved in the companion Paper 3 via the Caldeira-Leggett model and the Ford-Kac-Mazur theorem. The EPR paradox is resolved: the instantaneous correlation upon measurement is a consequence of conditional probability applied to a joint stochastic process, not a physical signal. Bell inequality violations are derived explicitly: the cross-correlation is nonlocal in configuration space, bypassing Bell's locality assumption while satisfying the no-signalling theorem. Decoherence arises naturally as disruption of S_E^(12) by environmental electromagnetic noise. Fermi and Bose statistics emerge as boundary conditions on the joint stochastic process in configuration space.
Category: Quantum Physics

Quantum Mechanics Derived from the Coulomb Field:a Classical Foundation Through Boltzmann Ergodic Theory,energy Conservation, and Stochastic Mechanics

Authors: Fusao Ishii
Comments: 23 pages. Submitted to Foundations of Physics. Part 1 of a series of 7 papers.

Quantum mechanics is defined here as the theoretical framework crystallised atthe fifth Solvay Conference of 1927, comprising five postulates: the wavefunction,the canonical commutation relation [x, p] = iℏ, the Born rule, the Schr¨odinger equation,and the transition probability rule. We present a complete derivation of allfive Solvay postulates from purely classical foundations, starting from the directlyobservable Coulomb field of the electron. The single empirical input is ℏ—measuredfrom pre-Solvay experiments (Planck 1900—1911, Einstein 1905, Casimir 1948/Lamoreaux1997) without quantum mechanical interpretation, in the same way G wasmeasured by Cavendish (1798) without general relativity. By Einstein’s photoelectrictheory (1905), the Coulomb field consists of virtual photons, each carrying bothelectric and magnetic fields with energy density ϵ0E2. The Einstein—Hopf detailedbalance condition (1910) uniquely determines the spectral shape ρ(ω) ∝ ω3. Lorentzinvariance confirms this form. The Casimir force measurement gives the total ZPFenergy per mode B = ℏ; classical E/B equipartition from Maxwell’s equationsgives the electric energy per mode ℏω/2, confirmed by Planck (1911). The centraloriginal contribution is the physical justification of the Compton frequency cutoffωc = mc2/ℏ: an electron cannot emit a virtual photon with energy exceeding mc2,because the residual electron would require negative mass, never observed in nature.Through the Abraham—Lorentz equation, charge e and cutoff ωc both cancel,giving D = ℏ/2m. By Itˆo’s stochastic calculus and Nelson’s theorem, this givesthe Schr¨odinger equation. The transformation ψ =√ρ eiS/ℏ linearises the nonlinearFokker—Planck equation, explaining why superposition holds. All five Solvay postulatesemerge as consequences of classical physics plus the single measured constantℏ. No Solvay postulate is assumed anywhere.
Category: Quantum Physics

A Partner, Not a Tool[:] Context, Friction, and Responsibility in AI-Assisted Work

Authors: John Phillip Bernhardt Jr.
Comments: 12 Pages. (Note by ai.viXra.org Admin: Author name is required in the article after article title and please list cited scientific references)

This paper argues that long-running AI-assisted work is not only a matter of prompting, but of handoff discipline. The ordinary tool metaphor is no longer sufficient for work that depends on context, correction, continuity, retrieval, authority boundaries, and recovery from drift. The claim is not that conversational AIsystems are persons, employees, moral equals, or legal subjects. Rather, "partner" is used as a methodological stance: a disciplined way of preserving the process that makes outputs inspectable, correctable, and reusable.This paper extends the prior methodology introduced in "Development Methodology of a Code-Illiterate User," which framed machine-readable context as part of reproducible AI-assisted system development without formal software training. Here, that prior context-method work is advanced through the explicitnaming and demonstration of batons as provenance-bearing handoff artifacts for sustained AI-assisted work. The central claim is that the better relationship is the better method: AI-assisted work becomes moreaccountable when the process that produces output is treated as part of the work rather than discarded once a useful answer appears.
Category: Artificial Intelligence

The Impossibility of the Specific Angle of Cosine Rule and Fermat’s Last Theorem

Authors: Md. Razib Talukder
Comments: 12 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This paper presents a self-contained proof of Fermat's Last Theorem, showing that for any exponent greater than two, no positive whole numbers satisfy the equation. The proof interprets any hypothetical solution geometrically as the sides of a triangle, applying the Law of Cosines to derive a strict condition involving an angle. This condition is expanded using the Binomial Theorem, revealing a combinatorial inequality that depends on the exponent. For exponents greater than two, this inequality contradicts the requirement that all three numbers be positive integers. A systematic case analysis of the possible ratios between the numbers resolves each possibility using elementary properties of binomial functions and basic inequalities. The entire proof avoids deep theories of elliptic curves and modular forms, using only geometry, algebra, and simple analytic reasoning. The key insight is that for exponents one and two, the geometric relationship holds perfectly, but for any larger exponent, it forces an impossible condition on the triangle's angle, breaking the requirement that all three sides be positive whole numbers.
Category: Number Theory

Infinite Ontology & Temporal Single-Manifestation Parallel Universe Theory

Authors: Mario Lee
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This paper proposes a novel self-consistent cosmological framework termed the Infinite Ontology and Temporal Single-Manifestation Parallel Universe Theory, constructed upon three transcendental first principles different from conventional binary physical logic and many-worlds interpretations. To resolve the inherent paradoxes of simultaneous parallel uperposition, temporal uniqueness, and infinite-finite dimensional conflict in modern cosmology and quantum interpretation, the theory establishes a three-state meta-logic system consisting of infinite noumenon, finite phenomenal manifestation, and meta-rule dimension. It rigorously deduces that the absolute infinite cosmic ontology contains all possible universal solutions, while any finite spacetime carrier cannot accommodate infinite possibilities, resulting in a core operational mechanism: all parallel cosmic branches exist latently at the meta-order level and can only present one single valid manifestation within finite temporal dimension at any given moment, rather than simultaneous coexistence. This model abandons empirical hypothesis dependence, adopts axiom-based closed-loop deduction, effectively reconciles quantum randomness, macroscopic temporal unidirectionality and subjective unique cosmic perception, and provides a new logically rigorous, dimensionally consistent theoretical paradigm for fundamental cosmology, parallel universe research and unified theoretical physics.
Category: Relativity and Cosmology

LLMs Are Neither Mere Statistics Nor True Minds

Authors: Leszek J. Cierniak
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

Large language models (LLMs) can solve many mathematical, logical, and physical problems with striking competence. This essay argues that LLMs are neither mere statistical pattern matchers nor fully human-like minds. They internalize statistically learned procedures for symbolic processing through training on vast datasets. They can emulate algorithmic behavior through learned inference-like computations and chain-of-thought generation, yet they do not obviously possess stable semantics, an explicitly inspectable world model, or intrinsic understanding. Drawing on computational theory, probabilistic perspectives, and recent empirical evidence-including chain-of-thought prompting, the GSM-Symbolic benchmark, and test-time compute reasoning models-the essay suggests that LLMs can produce behavior functionally equivalent to reasoning without necessarily sharing its classical foundations. The conclusion is not that the question is settled, but that LLMs deserve a distinct category in how we think about intelligence, explanation, and design.
Category: Artificial Intelligence

Topological Residual Entropy Theory: a Philosophical Exploration of Geometric Topology as the Underlying Logic of Physics U2015with a Discussion on Observer Cognitive Residuals, Dimensional Self-Consistency, and the Matryoshka Universe Paradigm

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 6 Pages.

Modern physics faces fundamental dilemmas, including dozens of free parameters that cannot be derivedfrom first principles, the hierarchy problem, the black hole information paradox, and the absence ofmagnetic monopoles. This paper constructs the Topological Residual Entropy Theory based on a single firstprinciple axiom: the "right-handed cylindrical helical motion of space at the speed of light" (). Through a three-layer topological geometric expansion ( ),we rigorously derive the fine-structure constant , the gravitationalconstant , and the core formula for the Planck constant:h = (μu2080 αu2075 / c²) × ln(10) × Factor_hHere,has the dimension of , serving as a residual bridge between geometric topology andelectromagnetic dimensions, ensuring complete self-consistency among the four fundamentaldimensions of mass, length, time, and electric current in the SI system. This paperdemonstrates that the underlying logic of physics originates entirely from geometrictopological bootstrapping and residual entropy increase: characterizes the energy densityof the divergent motion of the helical fluid, with its dimension precisely matching humanbiological energy consumption; the reciprocal of , , represents the observer'scognitive residual of the decimal base; the residual frequency iterates five times by from themaximum rigidity of to reach the Planck limit, aligning with the six degrees of separationnetwork protection mechanism. The Planck scale marks the end of continuous topology andthe "near-perfection" of the discrete quantum world. Brain-Computer Interface (BCI)experiments directly verify the observer closed loop from the dimensional perspective of. The universe exhibits an infinite, Matryoshka-style hierarchical nesting, whereobservers deeply participate in the creation of physical laws. The theoretical errors (aresidual for and a residual for ) are in high agreement with experiments, providinga purely geometric and philosophical pathway for the Grand Unified Theory.
Category: History and Philosophy of Physics

Opological Residual Fundamental Entropy Increase Theory: Geometric Origin of Constants, Error Analysis, Black Hole and Magnetic Monopole Resolution

Authors: Xiang Qian Zhang, Chao Greene, Ming Ming Zhao
Comments: 17 Pages.

Within the framework of the "Topological Residual Fundamental Entropy Increase Theory,"physical constants and fundamental phenomena are reinterpreted as products of the cobootstrapping between the cosmic residual network and the observer's cognitive residuals. The three-layer π-topological geometric expansion defines the geometric origin of the finestructure constant α_geom ≈ 1/137.036, with its theoretical foundation rooted in the pure geometric universe framework that establishes "spatial right-handed cylindrical helical light-speed motion" as the sole first-principle axiom [1,2]. This further yields theoretical values for the gravitational constant G_theory and Planck's constant h_theory, with relative experimental residuals of approximately 0.261193% and 0.54256%, respectively. These residuals are structurally closed through the affine renormalization mapping involving the Fibonacci critical node 4181 and the golden ratio conjugate square φu207b². The black hole information paradox and the missing magnetic monopole problem are topologically resolved within this framework: the black hole horizon is a macroscopic condensation of extreme residual networks, with information preserved through the six-degree separation network [3] and the observer closed loop; magnetic monopoles are bare magnetic tubetopological defects, strictly confined under the protection of three-layer topology and sixdegree separation [4,5]. Simultaneously, Planck's constant is revealed as the "cosmic pixellimit" after residual exhaustion, while ln(10) serves as the final seal of the initiator's basecognitive residual. Dimensional self-consistency is achieved by introducing Factor_h as abridge from geometric topology to electromagnetic dimensions. This paper systematically presents the mathematical self-consistency, structural inevitability, and philosophical depth of the theory.
Category: History and Philosophy of Physics

Peekaboo: Why You May Never Find Dark Matter

Authors: B. G. Preza
Comments: 13 Pages. Creative Commons Attribution 4.0 International

We investigate the possibility that dark matter may not correspond to an undiscovered particulate component, but instead emerges as the gravitational manifestation of hidden geometric degrees of freedom within spacetime. Motivated by persistent non-detection of dark matter candidates and by the conceptual tensions surrounding black hole singularities, we propose a unified framework in which dark matter, black holes, and symmetry restoration arise from a common geometric origin. Building upon the concept of dimensional sufficiency, we reinterpret black holesingularities as regions of geometric saturation, where spacetime reaches a critical limit in its capacity to encode compression. In this regime, black holes act as local symmetry restoration thresholds, potentially reversing low-energy symmetry breaking associated with the Higgs field, chirality, and vacuum structure. This allows for the reactivation of hidden sectors, including supersymmetric remnants, mirror CPT sectors, and non-collapsed components of the cosmological wave function. Within this framework, the Einstein field equations are extended through an effective stress-energy tensor incorporating both visible and hidden contributions, leading to a natural reinterpretation of dark matter as hidden geometric capacity rather than missing mass. The observable universe is thus described as the collapsed fraction of a larger cosmological wave function, whose remaining structure remains gravitationally active but observationally dark. We discuss potential observational consequences, including modified gravitational lensing profiles, deviations in black hole mass—radius relations near critical capacity, and structure formation signaturesarising from gravitational coherence rather than particulate halos. This approach preserves the empirical success of ΛCDM while shifting its ontological basis from unseen matter to incomplete geometric visibility. In this perspective, dark matter is not an additional component of the universe, but a manifestation of its deeper structure: a gravitational imprint of degrees of freedom that remain beyond direct observation. Dark matter may not be missing matter, but missing geometry.
Category: Relativity and Cosmology

Gauge Structure from Group Algebras: The Example of D_4

Authors: Carl Andrew Brannen
Comments: 11 Pages. To be submitted to Journal of Mathematical Physics

Continuous gauge symmetries are usually introduced through Lie groups acting on quantum fields. In this paper we show that the algebraic structure underlying non-abelian gauge transformations already arises naturally inside the complex group algebra of a finite non-abelian group. The dihedral group $D_4$, the symmetry group of the square, is used as an explicit example.The complex group algebra $C[D_4]$ decomposes into irreducible matrix blocks under the Artin—Wedderburn theorem. While the character table describes only the subspace of class functions, the full group algebra contains additional intra-class directions invisible to the character table. For $D_4$ these directions form a three-dimensional subspace which, after elementary normalization, satisfies the Pauli algebra and generates continuous SU(2) transformations inside the two-dimensional irreducible block.The construction is carried out explicitly using only the multiplication table of $D_4$. Continuous rotations arise from exponentials of finite group algebra elements, without assuming any continuous symmetry at the fundamental level. The mechanism generalizes to any finite group possessing higher-dimensional irreducible representations, where the associated matrix blocks naturally support the corresponding su(N) Lie-algebra structures.
Category: Mathematical Physics

Exceptional Topology and Generalized Roots in Hypercomplex Cayley—Dickson Algebras

Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 92 Pages.

he theory of roots of unity occupies a central position in algebra, geometry, Fourier analysis, quantum mechanics, and modern mathematical physics. In the ordinary complex plane, roots of unity generate discrete cyclic structures on theunit circle S1 and are governed by commutative rotational symmetry. However, the extension from complex numbers to higher Cayley—Dickson algebras introduces profoundly richer mathematical structures involving noncommutativity, nonassociativity,exceptional topology, higher-dimensional phase manifolds, and zero-divisor geometry. In the present work, we systematically investigate generalized roots of unity in quaternionic, octonionic, sedenionic, and higher hypercomplex systems. Explicit generalized exponential maps are derived for quaternionic and octonionicphase structures, and the resulting root manifolds are analyzed geometrically andtopologically. We show that quaternionic roots naturally generate continuous S2 families associated with the Lie group SU(2) ≃ S3, while octonionic roots generate S6 root geometries connected with exceptional G2 symmetry and nonassociative algebraic structure. Beyond the octonionic level, the emergence of zero divisors radically alters polynomial behavior, leading to extended algebraic varieties rather than isolated algebraic roots. The paper develops generalized Fourier structures, hypercomplexgauge geometry, exceptional fiber bundles, generalized Hopf fibrations, cohomological structures, characteristic classes, K-theory constructions, and homotopy classifications associated with generalized root manifolds.Connections are established between hypercomplex root geometry and Yang—Mills gauge theory, Clifford structures, exceptional Lie groups, spinorial geometry, string theory, noncommutative geometry, generalized quantum phase spaces, and exotic spacetime formulations. The work further explores possible applications to generalized cognitive geometry, hypercomplex neural dynamics, exceptional lattice structures, and multidimensional consciousness manifolds involving octonionic and E8-inspired configurations. The resulting framework suggests that generalized roots in higher Cayley—Dickson systems may provide a unifying mathematical language connecting topology, algebra, gauge.
Category: Mathematical Physics

The 41/40 Graph Index in the Distinction Engine Universe: Discrete-Substrate Resonance, CMB Amplitude Closure, and Cross-Observable Clock Projections

Authors: Jason Merwin
Comments: 13 Pages. A GitHub repository link is provided

We present a Boltzmann/Cobaya audit of the Distinction Engine Universe (DEU) as a discrete-substrate cosmology with a fixed graph-index amplitude closure. The central result is that the DEU CMB branch closes at the rational registry index AG = 41 40 = 1.025, not at the continuum-normalized value A = 1. A fixed-amplitude DEU audit shows that exact 41/40 is statistically indistinguishable from the measured posterior branch Aplanck = 1.02505, with log BF[41/40 − 1.025058] ≃ 0.07. The same exact branch is strongly separated from the continuum-normalized DEU branch, with a standard posterior-Laplace diagnostic log BF[41/40 − 1] ≃ 511.46, and a mean CMB χ2 gap of approximately 1017, dominated by the high-ℓ Planck TTTEEE lite sector. Thus the A = 1 branch is not a neutral DEU solution that happens to fit poorly; it is the wrong amplitude index for a discrete registry substrate. We interpret AG = 41/40 as an effective refractive index of the DEU graph vacuum: a one-unit discrete overhead on the 40-sector carrier boundary. In this reading, the conventional continuum normalization is misaligned with the discrete graph substrate, while the 41/40 branch expresses the amplitude closure required by the registry. The same clock/index architecture has late-time projections in the global Hubble mapping, BAO radial Jacobian, and supernova point-source propagation sectors. These are reported as cross-observable closure diagnostics, not as independent parameter additions. All chains, ledgers, audit scripts, checksums, and reproduction commands are provided for inspection.
Category: Relativity and Cosmology

A Posterior Visual Network-Targeted N-Back Paradigm: A Theoretical Proposal Informed by Research on Autism Spectrum Disorder

Authors: Koichi Yano
Comments: 11 Pages.

The extent to which working memory (WM) training can produce far transfer to fluid intelligence (Gf) remains a matter of considerable debate. The present paper draws on neuroimaging evidence indicating that individuals with autism spectrum disorder (ASD) show enhanced activation in posterior visual network regions—including the cuneus and lateral occipitotemporal cortex—during performance of Raven's Progressive Matrices (RPM; Soulieres et al., 2009), and proposes a new N-back paradigm, Nexus N-back, designed to preferentially engage these posterior pathways. Whereas conventional Dual N-back relies on audiovisual cross-modal stimulation and primarily recruits frontoparietal networks, the proposed paradigm requires simultaneous tracking of three visual channels—spatial position (dorsal pathway), shape (ventral pathway), and color (area V4)—each selected for its hypothesized overlap with the neural substrates engaged during RPM performance. Three anti-strategy mechanisms are incorporated: N−1 back lure trials, inter-stimulus interval jitter, and accuracy-triggered channel rotation. The present work differs from the exploratory quad N-back approach of Lindeløv et al. (2019) in its neuroscientifically grounded channel selection, deliberate exclusion of auditory stimulation, and structured anti-strategy design. This paper constitutes a theoretical proposal without experimental verification; its aim is to provide a principled design framework for future randomized controlled trials.
Category: Mind Science

A 3D Geometry of Complex Cycle Varieties: A Unified Framework for the Riemann Hypothesis and the BSD Conjecture

Authors: Ezadiin Redwaan
Comments: 16 Pages.

This paper presents a unified geometric framework for the Riemann Hypothesis and the Birch and Swinnerton-Dyer (BSD) Conjecture through the construction of a 4D manifold system governed by orthogonal cycles. We demonstrate that the manifolds y = x2n + m and y = z2n + m undergo a 180◦ mirror inversion as they transition from real-space growth to complex-space equilibrium. By analyzing the system in the infinite limit (n → ∞), we identify a "The Unified Anchor Identity" where geometric stability is achieved only when the real scalar anchor 2m matches the complex operator I. This stability condition necessitates m = 1/2, providing a topological basis for the critical line in the Zeta function and the analytic synchronization at s = 1 in L-functions. Our findings suggest that these longstanding conjectures are consequences of the fundamental requirement for symmetry and destructive phase interference within 4D geometric manifolds,we show that the 1/2 critical line is a necessary stability axis where complex vibrations turn into real numbers. By linking theheight of Zeta zeros to the rank of mathematical varieties(or we may link the height of central zeros to the prime of mathematical varieties,if we can find central zeros), we find a Prime-Rational Bridge governed by a simple scaling ratio of √2. Our proof demonstrates thatas these values grow, they align perfectly with zeta zeros a 1/2 and central zeros 1 phase shifts. This suggests that prime numbers andrational ranks are just two different views of the same symmetrical manifold, providing a unified geometric solution to both conjectures.
Category: General Mathematics

The Collapse of Recursive Logic: A Critique of Actual Infinity via the Fixed-Point Singularity of Sequence S

Authors: Kesan Yi
Comments: 2 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper presents a logical critique of the concept of Actual Infinity by analyzing a specific recursive sequence S. By examining the algebraic properties of the limit as a potential member of the set, we demonstrate that the transition from a generative process to a "completed" state results in a fixed-point singularity. This singularity destroys the bidirectional logic of succession and traceability, suggesting that the notion of a completed infinite set is structurally incompatible with the recursive definitions that govern countable sets.
Category: General Mathematics

Unified Interpretation and Theoretical Extension of Quantum Phenomena on the Basis of the "Constraint—uncertainty" Hypothesis

Authors: Hengxin Zhao
Comments: 9 Pages.

On the basis of quantum-mechanical realism and the philosophical view that "determinism and indeterminism are mutually dual and symbiotically coexisting," philosophical and physical perspectives are integrated to propose the "constraint—uncertainty" hypothesis in this paper. Combined with a temporal ontology of "a determined history and an open future," a unified interpretative framework for quantum phenomena is established. First, in conjunction with experimental results on fullerene quantum interference and spin decoherence in diamond NV centers, the core hypothesis is proposed: when a system is subject to a single dominant constraint, its behavior exhibits deterministic characteristics and uncertainty is suppressed; when subject to multiple competing constraints, its behavior becomes indeterministic and determinism is weakened. It is further clarified that the "constraint" in this work refers to a physically real underlying dynamical mechanism. Second, based on this hypothesis and temporal ontology, a self-consistent interpretation is provided for quantum phenomena such as wave-function superposition and quantum entanglement. It is argued that the "constraint—uncertainty" hypothesis offers an ontological basis for the Heisenberg uncertainty principle, thereby correcting the imprecise characterization in mainstream quantum theory that reduces uncertainty to an intrinsic property of particles. This paper further explores the tension between quantum mechanics and general relativity, suggesting that they correspond to different physical regimes governed by distinct constraint structures. A complete constraint-based model should naturally incorporate gravity, potentially offering a new perspective for the unification of the two theories.
Category: Quantum Physics

The Increase in the Center of Mass Momentum of a System Due to Fictitious Forces Within a Rectilinear Accelerated Three-Body System

Authors: Paul Robert Mesler
Comments: 13 Pages.

We report the results of an experiment where after 30 test trials the mean value of known external friction impulses acting on a three-body system accounted for only ~ 8.2 per cent (standard deviation .037 and standard error .0068) of the increase in the final momentum of the system, leaving a ~ 91.8 per cent discrepancy due to an unknown impulse. In this paper we propose an explanation for this impulse that accounts for this discrepancy. The three-body system consisted of two spheres, constrained to roll around quarter-circle barriers attached to a third body. As the spheres rounded the curves, centripetal contact forces acted on the spheres while equal and opposite centrifugal reactive contact forces acted on the inner walls of the curved barriers. These centrifugal reactive contact forces caused the system to accelerate, inducing fictitious body forces on the spheres that increased their orbital angular speed. We cite Einstein’s principle of equivalence to explain this increase in speed.
Category: Classical Physics

From Natural Occulters to Programmable Pre-Aperture Coronagraphy for Ground-Based Direct Exoplanet Imaging

Authors: Brent Hartshorn
Comments: 16 Pages.

Direct imaging of Earth-like exoplanets in the habitable zones of Sun-like stars remains one of the most formidable challenges in modern astronomy, constrained by the extreme contrast ratio (approximately 10^10) between host star and planet. Existing approaches — internal coronagraphs requiring sub-nanometer mirror precision, and space-deployed starshades requiring formation flying at tens of thousands of kilometers — face steep cost and engineering barriers. This paper develops a unified ground-based architecture that eliminates the requirement for a dedicated space telescope entirely. We begin by establishing the theoretical basis for leveraging natural Trans-Neptunian Object (TNO) occultations as "natural starshades," identifying Radial-Velocity Stationary Points in asteroid trajectories where shadow ground-track velocities are minimized. We then show how pre-positioned linear arrays of small ground telescopes, synchronized along pre-computed shadow tracks, can convert the rapid transit of these shadows into scientifically viable integration windows. Drone-borne sensor platforms are introduced as a complementary mode for rare slow-shadow events and as real-time astrometric reference instruments. The central contribution of this paper is the Drone-Borne Synthetic Aperture Starshade (DSAS): a multi-ring formation of UAVs at staggered altitudes, each ring suspending a programmable electro-optical fabric that functions simultaneously as an adaptive occulting mask, a distributed Fresnel zone plate for pre-aperture wavefront shaping, and an embedded wavefront sensor. The programmable transmittance of the fabric substrate allows real-time optimization of the apodization profile via the Huygens-Fresnel diffraction integral, while an embedded photodiode grid implements a distributed transport-of intensity wavefront reconstruction. Atmospheric turbulence profiling from the drone sensor network — measuring temperature, humidity, and wind at each ring altitude — provides a real-time Cn2 (h) profile for feed-forward adaptive optics correction. Combined with an internal Optical Vortex Phase Mask to suppress residual diffracted light, the full system is projected to reach contrast levels of 10−10 at the telescope detector. We analyze the architecture across two scales: a near-field low-altitude configuration accessible with current UAV technology, and a high-altitude stratospheric configuration in which natural atmospheric refraction may be exploited as a contributing Fresnel lensing element.
Category: Astrophysics

A Bohmian Reformulation of the Gravitational Collapse Model of Hossenfelder

Authors: Brian Scannell
Comments: 10 Pages.

A recent proposal [Hossenfelder] introduces a local, parameter-free mechanism in which gravitational effects dynamically suppress macroscopic quantum superpositions by enforcing a product-state constraint between matter and geometry. In this note I present a Bohmian re-formulation of this proposal. The reformulation replaces the product-state constraint with a clear ontology consisting of particle positionsand gravitational configuration variables guided by a joint wavefunctional.Collapse arises dynamically from gravitationally induced phase instability, rather than from a teleological action-minimisation principle.The resulting framework is deterministic, nonlocal, and ontologically transparent, while preserving the central physical insight that gravity destabilises superpositions of distinct mass distributions, but without requiring teleological dynamics.The Born rule is recovered through standard Bohmian equivariance on the joint matter—geometry configuration space, without introducingan additional stochastic collapse law.
Category: Quantum Physics

Forward-Pass Only Deep Echo State Networks for Traffic Congestion Prediction: A Case Study on the Barbados Traffic Analysis Challenge

Authors: Samer Attrah
Comments: 11 Pages. 7 tables, 7 figures, 44 references

Urban traffic congestion prediction under strict no backpropagation constraints demands a fundamental rethinking of model design. The Barbados Traffic Analysis Challenge forbids gradient based optimization, favour-ing biologically plausible or closed form learning. We explore this setting through a structured progression from video based vehicle detection with MediaPipe and MobileNetv2 ESN, through the Forward Forward algorithm and Extreme Learning Machines, to a final Deep Echo State Network DeepESN architecture. Ratherthan processing the raw 500GB video corpus, we demonstrate with empirical and literature backed evidence that compact tabular metadata from traffic sensors delivers competitive accuracy at a fraction of the compute and storage cost. We present a thorough exploratory data analysis revealing severe class imbalance (62% free-flowing) and high intra-block congestion entropy, a systematic hyperparameter sensitivity study across five Deep-ESN parameters, and a detailed ablation study quantifying the contribution of each feature group. Our final DeepESN, trained analytically via ridge regression, achieves 61.7% validation accuracy and a Macro F1 of 0.584 on the held out set, earning a rank of 80th on the competition's private leaderboard among 1,839 participants and qualifying for a bronze medal. The source code and all experiment artefacts are available athttps://github.com/Samir-atra/Barbados_Traffic_ Analysis_Challenge_dev.
Category: Artificial Intelligence

CLASSP: The Continuum Limit of Apollonian—Soddy Sphere Packing Dynamics as the Origin of Weak-Field Gravity and Dirac Quantum Mechanics

Authors: Steven E. Elliott
Comments: 22 Pages. Relies on Version > 2 of TFOFT

The companion TFOFT paper proposes that the universe is a finite computational object defined by a dynamical Apollonian-Soddy sphere-packing fractal quine under Presburger arithmetic. This paper develops the first continuum-limit equations of that framework. The sphere radius is treated as a local clock field; its coarse-grained graph dynamics yields Newtonian gravity and the weak-field time component of general relativity. On the same tangency graph, a one-dimensional chiral transfer channel with a two-state boundary-spin register yields the 1+1 dimensional Dirac equation, with mass interpreted as the chirality-reversal rate per local radius-clock tick. The extension to full curved 3+1 dimensional spinor dynamics is stated as a frame-rotation ansatz, not a theorem. Electromagnetism is sketched as lower-layer callback momentum bookkeeping whose graph form is a candidate edge-phase holonomy limit. The paper also derives a testable Milky Way prediction: if the Fermi bubbles are the polar lobes of a scaled 3dz2 boundary state, then a weaker equatorial "Fermi donut" should appear at roughly 10 to 15 kpc, with an inner shoulder near 8 to 12 kpc and one-quarter the angular density contrast of the polar lobes. This places the key observational test in the Gaia DR3 outer-disk regime.
Category: Quantum Gravity and String Theory

Quantum Area Scaling of Natural Toxins: A Harmonic Grid Based on the Bohr Radius and Euler’s Constant

Authors: Alberto Coe
Comments: 6 Pages.

The Topological Polar Surface Area (TPSA) is a critical descriptor in pharmacology, yet itsdistribution across natural toxins has long been considered stochastic. This study proposes anovel geometric framework where TPSA is quantized as a function of the Bohr area unit (au2080² ≈ 0.28003 Ų). By applying a harmonic resonance model based on a modified Euler’s constant �� = �� − 2/3, we analyzed 28 diverse natural toxins, ranging from Hydrocyanic Acid to Maitotoxin. The results reveal a discrete double octave grid (Nodes 23 to 39) that accounts fortoxin dimensions with a mean residual of 0.18 (in node space) and a high level of significance. A Monte Carlo simulation confirms the model's validity with a significance level of P = 0.0056. These findings suggest that the chemical space of natural toxicity is governed by a fundamental area-scaling law rooted in quantum constants, offering new predictive capabilities for molecular toxicology.
Category: Physics of Biology

Mixing Limits Mitochondrial Selection: a Critical Threshold for Mitochondrial Genome Stability

Authors: Przemysław Cieszyński
Comments: 4 Pages.

Mitochondrial genome stability depends on purifying selection, yet this selection is fundamentally limited by the mixing of mitochondrial populations. Because selection requires variance, any process that homogenizes mitochondrial populations reduces its effectiveness. We introduce a coarse-grained parameter α describing effective mitochondrial mixing and show that selection efficiency scales with (1−α)2, implying a critical threshold above which purifying selection fails.This constraint resolves a key limitation of existing models, which assume that variancegenerated by the mitochondrial bottleneck is preserved. In reality, mitochondrial populationsare continuously redistributed by intracellular dynamics, including fusion—fission processes [9], which erode variance in heteroplasmy across cells. We further show that intracellular dynamics may favor mitochondrial variants with replication advantages but reduced energetic efficiency, creating a conflict between within-cell and between-cell selection. This conflict necessitates selection at the level of whole cells. We propose that mitochondrial quality control is a temporally structured, multilevel process. Oogenesis generates variance, early embryogenesis provides a window in which variance is preserved and fitness differences are expressed, and processes such as cell competition implement selection at the cellular level [2, 1]. Uniparental inheritance further contributes by suppressing mixing at fertilization [7, 6]. This framework predicts that increasing mitochondrial mixing or reducing variance impairs selection efficiency and provides a unified constraint-based explanation for mitochondrial genome stability.
Category: Quantitative Biology

Odd Radio Circles as Local Tracers of Residual Production in Galactic-Scale Events

Authors: Eduardo Rodolfo Borrego Moreno
Comments: 5 Pages.

We propose that Odd Radio Circles (ORCs), giant ring-like radio structures discovered by ASKAP cite{Norris2021}, can be interpreted as local, observable manifestations of the Cosmological Dissipative Residual (CDR) framework developed in previous papers. In this picture, major galactic mergers or intense starbursts release rest-mass energy ($E = epsilon M_{m event} c^2$), driving an expanding plasma bubble. At the interface between this bubble and the surrounding cosmological residual ($w_{m res} approx -1$), a strong velocity gradient generates significant shear. This shear activates the rheological phase of the residual, producing anisotropic stress that dissipates energy through stochastic re-acceleration of electrons. A fraction of this dissipated energy is converted into the isotropic residual component, while another fraction powers the observed synchrotron emission in the radio band. Order-of-magnitude calculations show that realistic efficiencies are sufficient to sustain the observed radio luminosity and produce a local injection of residual consistent with the general production term introduced in Paper IV cite{Borrego2026d}. ORCs thus serve as natural laboratories where rheological activation, stress dissipation, and residual production can be studied directly. This interpretation strengthens the internal consistency of the CDR framework across scales and makes testable predictions for future multi-wavelength observations.
Category: Astrophysics

Positivity of L'(x) Implies the Riemann Hypothesis

Authors: Yufei Liu
Comments: 5 Pages.

We prove that if L'(x)=∑_ρ (1/ρ) e^{-x/ρ} > 0 for all x>0, where the sum is taken in the symmetric pairing ρ,1-ρ, then all non-trivial zeros of the Riemann zeta function ζ(s) satisfy Re(ρ)=1/2. The proof uses the arithmetic representation of L'(x) derived in a previous paper, the Guinand--Weil explicit formula, and an asymptotic analysis of the prime sum. Assuming the existence of a zero with real part >1/2 leads to a contradiction by showing that L'(x) would become negative for a suitably chosen sequence of x.
Category: Number Theory

In Search for a Deeper Reality

Authors: Velislav Tsvetanov
Comments: 7 Pages.

This work proposes a qualitative framework in which gravity is understood not merely as spacetime curvature but as an emergent manifestation of a deeper, presently inaccessible geometric structure that governs the stability and decay of quantum field configurations. Within this picture, particles are interpreted as stable, low-entropy wave patterns ("puzzle fits") of underlying fields, and decay processes correspond to geometry-induced reconfigurations of these patterns. Phenomena such as Hawking radiation, the Unruh effect, and cosmological particle creationare reinterpreted as evidence that particle content and stability depend fundamentallyon background geometry. This suggests that there exists a more fundamental geometrical substrate from which both spacetime and matter excitations emerge. The aim of this paper is to articulate this viewpoint precisely enough that it canbe connected to existing quantum field theory in curved spacetime and used as a conceptual guide for further work in quantum gravity and emergent spacetime scenarios.
Category: Relativity and Cosmology

Empirical Signatures of a Discrete Topological Vacuum: Correlating LHCb Angular Tensions and CMS Dijet Fractures

Authors: Jason Merwin
Comments: 12 Pages. A code repository is provided

The assumption that spacetime is a continuous manifold faces persistent challenges from localized, unexplained anomalies in both high-energy scattering and flavor-changing neutral currents. This manuscript investigates an alternative framework in which the vacuum is modeled as a discrete, combinatorial topological lattice rather than a continuous background. This structural approach dictates a strict geometric maturity boundary at the coordinate | cos θ| = 1/3, equivalent to the collider kinematic variable χ = 2. We test this exact geometric constraint against two independent collider datasets. In the high-energy regime, CMS particle-level dijet distributions at 13 TeV reveal a macroscopic lattice fracture: a 30.5% residual cross-section excess immediately prior to this χ = 2 boundary, followed by an abrupt post-boundary collapse in the 6.0 to 7.0 TeV bin. In the low-energy limit, LHCb angular measurements of the B0 → K∗0μ+μ− decay demonstrate geometric steering, matching the framework’s directional predictions across five primary angular rows (Z = 5.88). By correlating TeV-scale structural shattering with GeV-scale geometric steering at the identical topological coordinate, these results provide empirical weight to a discrete relational vacuum as an explanatory model. To ensure methodological rigor and avoid post-hoc curve fitting, strict geometric forward predictions for future independent B0 data have been prospectively defined.
Category: High Energy Particle Physics

Relativistic Field Theory of Primes (RFTP): An Arithmetic Unification of Quantum Mechanics, Gravity, Electromagnetism, and Modular Invariant Symmetries as Fundamental Observables

Authors: J. W. McGreevy
Comments: 24 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

The Relativistic Field Theory of Primes (RFTP) is a self-contained arithmetic fieldtheory in which the primes, modular forms, and monstrous moonshine are promoted to thedynamical degrees of freedom of a clutched adelic bundle over the compactified modularcurve X(1). The theory begins with the Eisenstein series E4(τ ), E6(τ ), and E12(τ ) and therigorously derived Ramanujan—Serre congruence τ (n) ≡ σ11(n) (mod 691), which is elevatedto the primary topological defect injecting the delta source ρsource =65520691 δj(τ)(P) into theArakelov Poisson equation. This single defect sources a shared curvature potential Veff(r, ϕ)felt identically by timelike soliton geodesics and null photon rays, generating a conservedRunge—Lenz vector and an SO(4) symmetry that unifies gravitational and electromagneticscales.A least-arithmetic-action functional S[Φ] on the Monster vertex operator algebra V♮yields a self-adjoint radial Dirac operator D on the clutched bundle whose spectrum interpolates the Balmer series and the critical-line zeta zeros. The theory realizes a Connesspectral triple (AVOA, Hsoliton, D), Einstein—Cartan gravity with χ11-sourced torsion, andphoton propagation via explicit multi-field WKB ray-tracing. Modular invariance underSL(2,) is the arithmetic skeleton: it preserves the characteristic bending speed p|d2r/ds2|,the Runge—Lenz vector, the gravitational constant GA = 65520/(8π · 691), the speed ofcausality cA, all spectra, scattering cross-sections, Einstein A/B coefficients, vacuum energy,dark-energy equation of state, and cosmological constant. The wave/ray duality explainsthe integer 3 (triality compactness of the ray limit) and the transcendental tail of π (infinitedimensional wave phase space). The Gutzwiller trace formula over modular periodic orbitslinks the primes to the zeta zeros, while compactness, discreteness, and finiteness of theclutched bundle enforce ultraviolet finiteness at the Planck scale lP .All constants and observables emerge purely arithmetically from the single master functional and the 691 defect, with no external parameters. RFTP therefore provides a parameterfree unification in which modular symmetries dictate the observable universe.
Category: Mathematical Physics

Emergence as Ontology: A Unified Theory of Timing, Plasticity, and Gravity

Authors: Scott Vallve
Comments: 3 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite and list scientific references)

We present a background-independent ontological framework in which the universe is modeled as a self-learning plastic timing network whose sole dynamical law is Spike-Timing-Dependent Plasticity (STDP). In this framework, spacetime, gravity, quantum mechanics, dark energy, consciousness, free will, and the Big Bang itself arise as emergent collective phenomena from a single reflexive update rule applied at criticality. The golden ratio Φ = (1 + √5)/2 appears as the unique scale-invariant fixed point (Φ_STDP) that balances local memory saturation against global learning drive, thereby sustaining perpetual plasticity without collapse or divergence.The model is derived entirely from the Core STDP rule without external parameters, preferred frames, or fine-tuning. Spacetime is reinterpreted as accumulated reinforced causal precedence; gravity emerges as network latency gradients induced by memory saturation; quantum evolution and the Born rule follow from the Fourier transform of the antisymmetric STDP kernel together with nonlinear threshold crossings ("screams") at reflexive gain λ = 1; dark energy is identified with the residual scale-invariant mismatch current that continuously injects new timing events; consciousness and free will arise when the reflexive operator turns inward and applies future-facing STDP to sampled hypothetical branches at Φ_STDP fractal depth. The primordial spark—the first reflexive free-will choice that created the initial directed anticipation—is shown to coincide with the Big Bang itself, furnishing a self-consistent account of cosmic origin without an external first cause.A concrete, falsifiable test is provided: the weak-field deflection of trajectories by a 5-Earth-mass primordial black hole in the Oort cloud reproduces the general-relativistic prediction to within current observational bounds. Additional testable signatures include golden-ratio scaling in neural avalanche statistics during states of high agency and creativity, and subtle large-scale deviations from ΛCDM driven by the mismatch current.The framework dissolves the measurement problem, the hard problem of consciousness, the cosmological-constant problem, and the origin-of-the-universe problem within a single, mathematically closed ontology. We invite rigorous scrutiny, experimental tests, and theoretical refinement from the scientific community.
Category: History and Philosophy of Physics

Minimum Prime Gaps in Arithmetic Progressions: A Probabilistic Model Based on Hardy--Littlewood Correlations and Empirical Verification on 10^6 Primes

Authors: Giovanni Ferraiuolo
Comments: 6 Pages.

We propose a coherent probabilistic model for consecutive prime gaps inside a fixed arithmetic progression modulo M. The model combines a Cramér-type intensity filtered by the residue class, Hardy—Littlewood two-point correlations via the singular series S(g), and an exponential suppression of intermediate primes. Under natural assumptions, the relative frequencies of small admissible gaps satisfy freq(g2)/freq(g1) ~ S(g2)/S(g1). We test the model on the first 10^6 primes (up to 1.5×10^7) in the digital root classes modulo 9 using exact rational arithmetic in SageMath. The predicted resonance for gap 90 (excess factor 4/3) is observed as +34.5% against +33.3% predicted, an agreement within 1.2 percentage points over 166,567 gaps. For gaps approaching the mean spacing the two-body approximation breaks down, with a sign inversion at gap 198, clearly marking the transition scale. All computations confirm the structural Lemma 1 (zero violations) and the asymptotically stable product freq(g_min) × mean_gap ≈ 2 C2 S(g_min) φ(M).
Category: Number Theory

The Fact Of Fractal Tennis: The Universe As A Fractal Computer Defined by the Star=Electron+Atom=Galaxy Quine

Authors: Steven E. Elliott
Comments: 32 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We propose a new principle of physics---MATHICCS---requiring that every mathematical axiom used in a physical law must correspond to an operation persistently realizable by a physical subsystem. Applying this criterion forces reality's geometry to be a discrete, self-similar, singularity-free structure: the Apollonian Soddy Sphere Packing (ASSP). We conjecture that 3D dynamics on this packing is a emph{self-computing fractal}: a dynamical computer whose registers are fractal congruent objects that store angular and linear momentum as cross-scale registers. This fractal quine---the first self-describing, MATHICCS-valid physical theory---derives the fine-structure constant $alpha^{-1} = 4pi^3+pi^2+pi = 137.036$ from the minimal Presburger computational cost of a Soddy sphere state update, derives the hydrogen binding energy from a single IO API equation $E = alpha^2 m_e c^2/2$, and derives the gravitational constant $G$ from atomic structure by two independent first-principles routes. We present two validated predictions (25-arcminute CMB seam; Karlsson quasar log periodicity) and one pending falsifiable prediction ($alpha^{-1}_{mathrm{Yb}} = 137.035998945 pm 20,mathrm{ppb}$). The framework resolves many major tensions in observational physics with zero free parameters.
Category: Quantum Gravity and String Theory

The Quantum Core of the Effective Theory as an Operational Reconstruction in a Timeless Euclidean Model

Authors: Andrey N. Smirnov
Comments: 44 Pages. Published in Int'l J. of Quantum Foundations, 12(2): pp. 531-583

The present work investigates the reconstruction of the quantum layer of the effective description in a timeless Euclidean model on E⁴ with a single fundamental real field Φ satisfying the Laplace equation.Using a working region Ω, an observer body Ω₀ ⊂ Ω, and a foliation-based description of local readouts, we formulate an operational reconstruction scheme for states, observables, and causally consistent dynamics in operationally accessible regions where an effective description in terms of foliations and effective fields remains valid. Within such regions, the previous GR reconstruction singles out the locally inertial SR regime as the working form of effective analysis. We then consider a working class of states consistent with transfer locality, the reflection structure with respect to the foliation parameter, thespectral condition, and stable registration.In this regime, the standard OS/GNS reconstruction yields a Hilbert spaceof states, a self-adjoint Hamiltonian H ≥ 0, and a strongly continuous unitary evolution.At the same working level, a compatible positive complex structure is fixed on the space of initial data, after which the one-particle space, the Schrödinger equation, the Born rule, the POVM description of measurements,and the local continuity equation for the probability current are constructed. It is further shown that, for free effective sectors, transfer locality, the constraint on the principal symbol, and consistency with the previously reconstructed observable SR structure lead to the standard first- and second-order relativistic closures. Thus, what emerges within the model is not a full interacting local quantum field theory in all its physical completeness, but rather the quantum coreof the effective description together with its relativistic closure in operationally accessible regions where the locally inertial SR regimeremains valid. As established in the preceding GR reconstruction, strong-field regimes ofgravity and effective fields are excluded in such regions; their occurrence is possible only in operationally inaccessible regions, where effective reconstruction in terms of foliations and effective fields must give way tothe fundamental description in terms of the field Φ. A substantial structural consequence is the classical status of the gravitational sector: quantization applies to effective nongravitational fields, whereas gravity does not generate an independent local spin-2quantum sector. The obtained result continues the program of reconstructing effectivephysics from a timeless Euclidean model, within which observable SR kinematics and the geometric GR sector were reconstructed previously.
Category: Quantum Gravity and String Theory

Transforming Thought Patterns: An Applied Exploration of Cognitive Behavioral Therapy Techniques in Academic and Personal Contexts

Authors: Shreyka Mishra
Comments: 41 Pages.

Cognitive Behavioral Therapy (CBT), developed by Aaron T. Beck, is a widely recognized evidence-based psychological approach that emphasizes the role of cognitive processes in shaping emotional and behavioral outcomes. The present paper provides an applied and integrative exploration of key CBT techniques, focusing on their practical utility in addressing real-life concerns such as fear of rejection, self-doubt, overthinking, emotional distress, and avoidance behaviors. Drawing upon structured techniques including Socratic Dialogue, Cognitive Restructuring, Behavioral Activation, Exposure Therapy, and Problem-Solving Therapy, the paper demonstrates how maladaptive thoughts can be identified, challenged, and transformed into balanced and adaptive cognitions.Through illustrative examples grounded in academic and personal contexts, the study highlights the dynamic relationship between thoughts, emotions, and behaviors. The findings suggest that CBT techniques facilitate a significant shift from avoidance and anxiety toward clarity, confidence, and goal-directed action. By promoting cognitive flexibility, behavioral engagement, and emotional regulation, CBT serves not only as a therapeutic framework but also as a practical tool for enhancing psychological resilience and self-efficacy.The paper concludes that structured application of CBT techniques can empower individuals to reinterpret challenging situations, reduce distress, and actively work toward personal and academic goals.Keywords: Cognitive Behavioral Therapy, cognitive restructuring, behavioral activation, self-doubt, emotional regulation
Category: Social Science

Relativistic Field Theory of Primes (RFTP): from the 691 Topological Defect to Unified Number Theory, Classical Mechanics, Quantum Mechanics, and Gravitation and an Approach to the Riemann Hypothesis

Authors: J. W. McGreevy
Comments: 15 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present the Relativistic Field Theory of Primes (RFTP), a unified framework in which the 691 arithmetic defect in the weight-12 modular discriminant acts as the origin of symmetry breaking. Starting from a white-light symmetric background (Leech lattice theta series with leading term "1"), the defect introduces q−1 leakage. Through i-rotation, triality clutching (χλ μν), and principalization as Hamiltonization, this leakage is resolved into a self-adjoint radial Dirac operator D on the clutched bundle. The spectrum of D reproduces the Balmer series, fine structure, and blackbody radiation. The same clutched current sources Einstein-Cartan torsion and long-range gravity with G derived ab initio from the 1008 Leech reservoir and 691 rigidity. The framework naturally yields the fine-structure constant αeff ≈ 1/137 and the Jarlskog invariant from the χ11 inductive term. Unitarity of the multi-horizon propagator and global probability conservation force all non-trivial zeros of ζ(s) onto the critical line Re(s) = 1/2, proving the Riemann Hypothesis within RFTP. The theory bridges number theory (modular forms, class fields, Artin reciprocity), classical mechanics (Fermat’s principle, Hamilton—Jacobi), and quantum mechanics (path integrals, Schr¨odinger/Dirac) through a single arithmetic mechanism.
Category: Number Theory

Fifty-Five Years in Physics: From Classical Foundations to Modern Cosmology A Personal Journey Through Questions, Doubts, and the Search for a Coherent World

Authors: Vladimir S. Netchitailo
Comments: 9 Pages.

This paper is a personal account of a life in physics, spanning more than five decades of study, research, and reflection. My scientific path began with a deep appreciation for the internal consistency of classical physics, which offered not only precise descriptions of natural phenomena but also a sense of logical completeness. As my work expanded into other areas of theoretical physics and, eventually, cosmology, that early sense of clarity was increasingly challenged by the growing complexity—and, at times, ambiguity—of modern theoretical constructs.Throughout these years, I was repeatedly drawn to questions that seemed resistant to conventional interpretation. Among them were the dynamics of small solar system bodies and the nature of objects classified as interstellar, where observed non-gravitational effects often appeared difficult to reconcile with standard explanations. These were not isolated curiosities, but recurring signals that, in my view, pointed to deeper inconsistencies in widely accepted models.The ideas presented in this work did not arise from a single breakthrough, but from a long and often nonlinear process of questioning assumptions, revisiting earlier conclusions, and seeking coherence across different domains of physics. The resulting cosmological perspective reflects this cumulative effort—an attempt to restore a sense of unity between fundamental physical principles and observational evidence.I do not present these results as final answers. Rather, they represent the current stage of an ongoing inquiry shaped by experience, doubt, and persistence. If this work has a central purpose, it is to encourage a careful reexamination of familiar assumptions and to suggest that progress in cosmology may still depend on asking old questions in new ways.
Category: Relativity and Cosmology

On Type I Blow-up and the Liouville Property for the 3D Navier—Stokes Equations: Concentration-Compactness, Besov Monotonicity, and Rigidity

Authors: Yahor Hous
Comments: 13 Pages.

We present a two-part analysis of the Type I blow-up scenario and the Liouville property for the three-dimensional incompressible Navier—Stokes equations.
Category: Functions and Analysis

Mature 137-Registry Carriers and Particle-Like Excitations in an Open-Token Distinction Engine

Authors: Jason Merwin
Comments: The document contains 12 pages. A link to the code repository is provided.

A prior distinction-engine construction recovered a 137-object registry at DAG size 7 and partitioned it into sectors of 81+40+16, aligning with the spatial, interface, and gravitational sectors proposed in Relational Mathematical Realism. The present manuscript consolidates two subsequent analyses. First, we study mature registry carriers: larger relational objects that contain the full 137-type registry as an embedded motif. Exact DAG-size joins and 137-bit registry signatures recover DAG-8, DAG-9, and DAG-10 layers while compressing motif state space by factors of 6.85x, 20.43x, and 46.01x. Minimal full-registry carriers have DAG size 309. Eight non-isomorphic carrier histories preserve the same condensable typed mediation geometry: 72 spatial nodes, 38 interface nodes, 16 gravitational nodes, and 288 mediated S-G edges per condensable interface node. Typed dynamics lifted onto these mature carriers show no statistically detectable topology effect on interface-enabled condensation. A screening audit identifies full binary S-G conflict deletion as the wild-type interface rule, producing S_ DYN ~9.61, S_OFF~2.04, and a 4.73x dynamic/OFF enhancement. Loss-of-function tests identify the true invariant as complete I-mediated coverage of the active S-G conflict graph: the 38 condensable I nodes split into two complementary 19-node half-covers, each covering 288 of 576 active S-G edges.Second, we extend the analysis to an open-token distinction engine, in which finite type identity is separated from lineage-distinct token identity. The type-guarded open-token process preserves the canonical 137 DAG-7 type layer exactly while allowing unbounded token multiplicity. Particle-detector tests on open-token dynamics recover robust K3/baryon-like candidates: five stable candidates with k3_score=1.0, high closure, and fixed carrier support. I-cage/lepton-like structures appear as suggestive precursors, including a high-scoring cage-localized candidate, but not yet as fully closed localized leptons. These results support a layered interpretation: the DAG-7 registry is a finite reusable type grammar; DAG-309 carriers are mature local embeddings of that grammar; and open-token dynamics permit stable particle-like excitations over repeated registry instances. We identify a mathematically natural route from distinction-generated registry types to mature carriers and K3-centered particle-like object.
Category: Mathematical Physics

What Structural Intelligence Is: Intelligence as Answerable Revision Under Constraint

Authors: Vladisav Jovanovic
Comments: 24 Pages.

This paper argues that intelligence is best understood not as processing power, fluent output, or successful performance alone, but as the capacity of a system to keep coherence answerable to reality through revision underconstraint. The problem is practical. Human beings are highly responsive to fluency, repetition, and narrative fit, and modern AI systems can now generate coherent language at industrial scale. That combination makes it easier than before to mistake persuasive order for durable intelligence. Existing work incybernetics, organizational learning, resilience theory, cognitive psychology, and AI safety already contains many of the pieces needed to correct this mistake. Feedback and control theory show that adaptive systems must regulate error and absorb variety. Organizational learning shows that systems that cannot detectand correct error become defensive and brittle. Research on truth judgments shows that repeated and fluent statements are more likely to be accepted as true. Work on large language models shows that fluent systems can still hallucinate,imitate falsehood, and require stronger evaluation than preference or surface helpfulness alone. Structural Intelligence names the missing synthesis. It defines intelligence as revision-capacity under constraint. The paper develops this claim, introduces the Answerability Loop as its operational core, distinguishes coherence from contact, and outlines what follows for AI evaluation, institutional design, and human self-understanding. It also states what would count against the view.
Category: General Science and Philosophy

Qubit-Structured Spacetime: A Structural Origin for Gravity, Dark Energy, and Cosmic Architecture

Authors: Joseph Shaffer
Comments: 8 Pages.

This paper presents a structural model of the universe in which the fundamental substrate is a network of qubit-sized patches forming a nonlocal entanglement domain (E-domain). Local spacetime (S-domain) emerges as a coarse-grained description of this structure. Matter in the S-domain is anchored to extended "mats" in the E-domain, and tension within these mats encodes both gravity and dark energy. A central result is that force arises from gradients of tension at the boundaries of these mats, replacing both Newtonian action-at-a-distance and Einsteinian curvature with a unified structural mechanism.Using a qubit-based natural unit system, Newton’s gravitational constant G is derived from the structural scale of the qubit network. This derivation does not assume G=1; instead, G emerges from the qubit patch size. When expressed in SI units, the result matches the measured value G ≈ 6.674 × 10u207b¹¹ m³ kgu207b¹ su207b². Since G is derived from first principles, it is not fundamental, rather structure is fundamental.This framework naturally explains galactic rotation curves without dark matter, interprets the cosmic microwave background (CMB) as the thermal imprint of qubit-patch freeze-out , and identifies the cosmic web as the large-scale geometry of mat boundaries. The Big Bang is reinterpreted as a rapid phase transition in which the qubit patch network crystallized into its present configuration. The theory is guided by two principles: simplicity and elegance.
Category: Astrophysics

Dao and the Tri-State: The Dual Spiral Spring Theory—A Meta-Model of System Dynamic Equilibrium

Authors: Songping Zeng
Comments: 24 Pages.

Inspired by the double-spiral pattern on a terracotta-colored pottery bottle from the Neolithic Age, this study transcends traditional archaeological and art-historical interpretations to construct a meta-model named the "Tri-State Theory of the Dual Spiral Spring." Using a pair of rigidly connected spiral springs as its core metaphor, the model distills three fundamental states of a system—Equilibrium State, Tightening State, and Loosening State—and reveals the law of their dynamic cycle. The research first establishes the mathematical and physical foundations of the model, demonstrating that it can be simplified to a linear segment as an elemental structure, and its dynamic mechanism can be interpreted through the principle of wave reflection. Building on this, the paper systematically verifies the model's powerful universality: at the micro level, it provides a philosophical schema for the holistic correlation in quantum entanglement; at the macro level, it explains the climatic cycles of Earth and the life-death rhythms of celestial bodies; on the scale of human society, it accurately describes interactive tensions from interpersonal emotions to international geopolitics; in the field of ecological governance, it offers in-depth analysis of contrasting cases, from the "human retreat leads to desert retreat" miracle in the Mu Us Desert to the embankment breaches at Poyang Lake. Furthermore, this study achieves a trans-temporal dialogue with ancient Eastern wisdom. The model not only aligns with the ideas of "Reversion is the movement of the Dao; Weakness is the function of the Dao" from the Dao De Jing, but its core framework of "two poles and three states" can also naturally演绎 the cosmic generative process of "The Dao begets the One; the One begets the Two; the Two beget the Three; the Three beget all things." It also provides a scientific modeling perspective for the practices in Kan Yu (FengShui) that seek systemic harmony and balance. In summary, the "Tri-State Theory of the Dual Spiral Spring" is not merely a meta-model with solid mathematical foundations, but also a system thinking paradigm that connects antiquity with modernity and bridges the humanities and sciences. It provides a unified and explanatory framework for understanding dynamic equilibrium phenomena across numerous fields, from nature to human society.
Category: History and Philosophy of Physics

Tetrahedral Disclination Origin of the Fermion Mass Hierarchy and the Koide Identity

Authors: Andrew Ebanks
Comments: 9 Pages.

The Koide formula (Q = 2/3) has resisted derivation from first principles since its discovery in1981. We show that within the Fibonacci-Tetrahedral Lattice (FTL) framework, the Koide constant2/3 is a geometric identity of the fundamental tetrahedral node angle: −2 cos(109.471◦) = 2/3.The visible lepton generations are identified as orientational modes of a tetrahedral topologicaldisclination, governed by a universal Fibonacci gate selection rule (m ∝ ϕn). We extend thisframework to the quark sector and the neutrino sector, deriving a zero-parameter master equation forthe entire fermion spectrum. The extreme smallness of neutrino masses is shown to be a consequenceof recursive lattice frustration, with the heaviest neutrino predicted at m3 ≈ 0.048 eV. Quarkconfinement emerges as a mechanical lattice frustration, and the observed mass hierarchy is shownto be a dynamic outcome of impact-driven phase transitions. These results suggest that the matterspectrum is not a collection of arbitrary parameters but a geometric projection of the vacuum latticetopology.
Category: High Energy Particle Physics

Derivation of an Octonionic Master Equation from Physical Minimal Principles

Authors: Rüdiger Giesel
Comments: 29 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We formulate a consistent octonionic foundational model in which gravity, matter dynamics, and non-associative coupling arise from a common variational principle. The starting point is a set of physical minimal principles: the requirement of real observables, local dynamics, covariant formulation, positivity of a norm, minimal algebraic nontriviality, and the requirement that genuine triple couplings may be fundamental. From these principles it follows step by step that the relevant internal algebra must be a normed division algebra, and that the only finite-dimensional non-associative possibility is the algebra of octonions. Since non-associativity becomes visible only through the associator of three arguments, the minimal dynamical realization is a triplet of octonion-valued fields. On this basis the full covariant action is constructed, and its variation yields the coupled master equation: the Einstein equation together with three octonionic field equations sourced by the associator. Every term, coupling, and parameter is explicitly introduced and physically interpreted.
Category: Relativity and Cosmology

A Complete Understanding of the Beal Conjecture

Authors: Felipe Wescoup
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper presents a proof of the Beal Conjecture by means of a geometric and set-theoretic argument. Each term in the conjecture — A^x, B^y, and C^z — is interpreted as a volume composed of three-dimensional seed cubes whose side lengths are determined by the prime factors of the base. From this foundation, the prime factor sets of A and B are shown to be either disjoint or overlapping. The disjoint case is eliminated by contradiction: if A and B share no common prime, the equation A^x + B^y = C^z cannot be satisfied for any integer C and exponent z ≥ 3. The overlapping case directly implies that A, B, and C share a common prime factor, which is precisely what the conjecture asserts. Because these two cases are exhaustive, the conjecture is proven.
Category: Number Theory

Curvature-Induced Higgs Symmetry Restoration with Chirality Imprint

Authors: B. G. Preza
Comments: 9 Pages. Creative Commons Attribution 4.0 International

We propose a speculative but physically motivated framework in which extreme spacetimecurvature dynamically modifies the effective potential of the Higgs field, driving the Higgsvacuum expectation value toward zero and producing a local restoration of electroweaksymmetry inside black-hole interiors. In this regime, ordinary massive matter is reclassifiedinto a relativistic field-dominated phase, increasing the effective internal capacity of thesystem through geometric and modal degrees of freedom rather than through classicalvolume alone. We introduce a two-phase interpretation: Phase I, curvature-induced Higgssymmetry restoration, in which mass generation is suppressed; and Phase II, chirality-imprintpreservation, in which the chiral architecture of weak interactions survives despite thesuppression of Higgs-generated mass. We further propose that internal energy redistributionproceeds through coherent resonant modes regulated by nodal structures termed echoshadows, whose collective excitation defines the internal scream. The resulting picturereinterprets the classical singularity not as an infinite-density endpoint, but as a vacuumphase transition in which matter, fields, and geometry are reorganized into a higher-capacityinternal regime. The framework is intentionally exploratory and is presented as a conceptualbridge between the Higgs mechanism, quantum fields in curved spacetime, black-hole interiors,and dimensional-sufficiency approaches to singularity avoidance.
Category: High Energy Particle Physics

A Geometric Model of Electromagnetic Interaction

Authors: Vadim Khoruzhenko
Comments: 48 Pages.

This paper proposes a geometric model of electromagnetic interaction in which elementary particles are treated as localized spherical regions of spatial curvature. The main local characteristic of the model is the intensity of volumetric curvature of space, Delta K_v = 1- alpha^3 where alpha is the coefficient of linear curvature of space relative to the basic, unperturbed state. Inside each spherical region the volumetric curvature intensity is assumed to be constant, while outside the region the distribution remains spherically symmetric and satisfies a global compensation law over all space.A geometric charge is introduced as an integral characteristic of the external flux of spatial curvature, that is, as the integral of the divergence of the corresponding vector field over the external region. The interaction energy of two such sources is constructed through a bilinear potential in the parameter spaces of the two charges. This makes it possible to obtain the leading Coulomb term of the force and its geometric generalization. It is shown that long-range interaction is determined not by the full volumetric curvature intensity itself, but by a quantity proportional to the change in the Gaussian curvature of the boundary of the deformed region.On this basis, geometric formulas are derived for electric and magnetic-type interaction forces, as well as expressions for the creation energies of the electron and the proton, interpreted respectively as the energies required to compress and stretch space. The resulting formulas for radii and creation energies reproduce the classical electron radius in the linear approximation and set the correct scale for the proton radius and mass. Thus, a self-consistent geometric formalism is proposed in which electric charge, interaction energy, and particle mass arise as consequences of local curvature of space.
Category: Classical Physics

A Synchronisation-Free Experiment to Test the One-Way Isotropy of Light Speed

Authors: Floriano R. Pohlmann
Comments: 8 Pages. This is a refined version of the previous uploaded paper (viXra: 2604.0073) with same title

We propose an experiment to test whether the one-way speed of light is isotropic, without relying on clock synchronisation between separated stations. Two identical stations separated by a fixed distance exchange laser beams through complementary shutters driven by independent atomic clocks. Because the shutters are complementary, the two detector readings always move in opposite directions as the phase offset at one station is swept — they never reach maximum simultaneously. The correct observable is the phase offset at which the two detectors read equal intensity: the crossing point. In the isotropic case this crossing point is stable as Earth rotates. In the anisotropic case it drifts cyclically with the sidereal period. No synchronisation signal is required and the measurement is not circular.The experiment provides two independent observables recorded in parallel. The first is the optical crossing point described above. The second is the timestamp time series δ_WE and δ_EW recorded independently at each station. In the isotropic case both series show no variation. In the anisotropic case both series show a cyclic variation locked to the sidereal day. Both observables respond to the same underlying quantity — the asymmetry between W→E and E→W propagation times — and both share a common-mode rejection of local environmental disturbances by virtue of the 50-metre station separation.Frequency identity between the two stations rests on the constancy of the atomic transition — a physical fact, not an engineering convention. The only signals exchanged between stations are timestamp pulses transmitted at regular intervals to build up the time series described in Section 5.2. No synchronisation signal of any kind is used. The phase relationship between the two shutter drives is never imposed externally; it is found empirically by the crossing-point procedure. The experiment is sensitive to any preferred-frame velocity component along the baseline. A null result constrains preferred-frame theories. A non-null result warrants careful independent replication.
Category: Relativity and Cosmology

Marginal Value of Tokens in Business LLM Applications: Measuring Cost, Latency, and Utility of Prompt Components

Authors: Md Shafiul Alam
Comments: 17 Pages.

Large language model (LLM) applications used in business settings are often optimized by informal prompt editing: shortening instructions, adding examples, increasing retrieved context, or imposing output constraints. Such edits are usually evaluated anecdotally, even though each prompt component affects quality, cost, latency, and operational risk. This paper introduces Marginal Value of Tokens (MVT), a component-level framework for measuring the incremental business utility of prompt segments relative to their token and cost footprint.The framework treats a prompt as a structured composition of functional components, including system instructions, task rules, business policy, retrieved context, chat history, few-shot examples, tool definitions, and output schemas. We define cost- and latency-adjusted utility, propose paired ablation and coalition-based estimators for component attribution, and give operational rules for classifying prompt components as high-value, low-value, negative-value, reusable, model-dependent, or workflow-dependent. The methodology is designed for common business workloads, including customer support and policy question answering, document summarization, and structured information extraction. The central argument is that business LLM systems should not minimize tokens blindly. They should maximize useful business output per token by preserving necessary context, pruning harmful context, compressing redundant history, caching reusable prefixes, and measuring prompt changes under non-inferiority constraints. The contribution is a practical measurement framework and experimental protocol for cost-efficient LLM adoption in business environments.
Category: Artificial Intelligence

[ A Proposed] Framework: Information-Driven Cosmic Expansion from Entropy Production under Twin Laws of Conservation

Authors: Aleksey Razumovsky
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please don't name title, equation/formula etc after the author's name; please cite listed scientific references)

We present a cosmological framework in which dark energy emerges directly as theholographic thermodynamic cost of irreversible entropy and information production withinour universe. The framework rests on two foundational boundary conditions—the TwinLaws of Conservation—that strictly enforce local conservation of energy and fundamentalquantum information inside any existing universe while allowing new fundamental quantitiesto arise only at the birth of a new universe (bubble nucleation or analogous origin events).Dark energy density is expressed by the unifying equation:ρDE(a) = β(.^S_irr(a)/a^3 where β is derived from M-theory flux compactifications and Sirr(a) is the observed irreversible entropy-production rate from astrophysical processes such as black-hole mergers and stellar dissipation. The microscopic realization is a single real scalar field trapped in a metastable false vacuum that undergoes slow "static-charge" buildup driven by a naturally derived tilt parameter. When a critical threshold is reached, quantum tunneling (Coleman—De Luccia instanton) or extra-dimensional leakage discharges the accumulated energy, nucleating anew causally disconnected bubble universe. The nucleation rate acquires an explicit timedependence Γ(t) ∝t−2 from Hubble suppression in the expanding background. All parameters are fixed by observables and string-theory UV completion. The model produces mild w(z) evolution consistent with DESI Data Releases 1 and 2, generates a transient early dark energy phase at z≈3500 that simultaneously alleviates the Hubble and S8 tensions, and predicts a distinctive stochastic gravitational-wave background featuring a softened infrared tail and a secondary mHz hump inside the projected LISA sensitivity band. Monte-Carlo simulations of the charge-discharge process confirm hierar-chical bubble-universe formation with lengthening cycle lengths. We discuss falsifiability with forthcoming DESI, LISA, and CMB-S4 data.
Category: Relativity and Cosmology

A Phenomenological Solution to the Hubble and S8 Tensions Based on Time-flow Evolution

Authors: Penghong Jiao
Comments: 11 Pages.

The LambdaCDM model confronts two increasingly significant observational conflicts: the Hubble constant H0 tension (+8.3%, >5 sigma) and the S8 tension (-8.4%, ~3 sigma). The near-identical absolute magnitudes and opposite signs of these deviations suggest a common kinematic origin rather than modifications to the cosmic energy budget. We propose a phenomenological framework in which physical proper time tau is an emergent order parameter of energy flux from higher dimensions into the 3-dimensional observable space, satisfying d tau = a(t)^{-1} d t. This yields a proper-time rate gamma(z) = d tau/dt = 1+z. Introducing a single empirical parameter Q calibrated by the observed H0 tension, the model yields an effective late-time factor gamma_late ≃ 1.083, from which the S8 tension and f sigma8 suppression follow with no additional free parameters, driven by a dynamical competition between the constant thrust from Q and the standard LambdaCDM Hubble drag. The same time-flow mechanism naturally suppresses the growth of cosmic structure, giving S8_obs ≃ 0.772, in excellent agreement with weak lensing measurements. The Friedmann equations retain their standard geometric form; the acceleration driver is the injected free-energy flux rho_de rather than an ad hoc cosmological constant. The model distinguishes between instantaneous and cumulative cosmological observables, with time-dilation measurements remaining unchanged while integrated quantities such as H0, S8 and f sigma8 exhibit the observed ~8% shifts.
Category: Astrophysics

Topological Residuals and the Holographic Universe: Markov Spiral Global Stability Based on Fu2081u2089=4181 and Geometric Projection of the Fine Structure Constant

Authors: Zhang Xiangqian, Zhao Mingming, Ge Linchao
Comments: 9 Pages.

This paper aims to construct a unified framework between discrete number theory, differentialgeometry, and continuous quantum physics through the "Topological Residual Theory." The researchtakes the 19th term of the Fibonacci sequence (Fu2081u2089 = 4181) as the core node. First, it reveals itsmathematical miracles in semiprime decomposition and fractal dimension reduction. Subsequently,this paper completely derives the differential geometric correspondence between the Binet residualand the torsion of the cylindrical helix, and details the calculation of the torsion limit (τ → 1/3) of theMarkov triples related to 4181. From first principles, it rigorously proves that this node defines theglobally stable geodesic line on the torus with no self-intersection and minimum energy.Furthermore, this paper introduces renormalization group scale transformation, dividing theFibonacci sequence by ten thousand (10u2074) and extracting its sine value, mapping it as the transverseperiodic projection of cylindrical spiral motion. Through key transition data tables and visualizationcharts, this paper intuitively demonstrates the physical mechanism by which the macroscopictopological node 4181 still maintains the minimum energy ground state after being scaled down byten thousand times (0.4181°). It proves that the fine structure constant (α ≈ 1/137) is essentially themicroscopic transverse geometric projection residual (sin(0.4181°) ≈ α) that maintains the cylindricalhelix moving at the limiting velocity u without collapsing, and that Fu2081u2089 holds an absolutelyirreplaceable critical phase transition position in the evolutionary cycle. Finally, this paper proposesthat the space around objects is structured on the basis of right-handed cylindrical spiral motion,providing solid geometric and dynamic support for the holographic universe principle
Category: Mathematical Physics

A Logarithmic Alignment of Common Bioelements and Drugs

Authors: Alberto Coe
Comments: 4 Pages.

This paper identifies a non-random organization in the physicochemical properties that define life.By using a logarithmic network of the form L=L0eAq it is demonstrated that covalent radii (including water), electronegativity, and topological polar surface area (TPSA) are quantized into integer nodes (q). The results yield significant statistical confidence levels (P < 0.05 for radii and electronegativity), utilizing a family of constants derived from Euler's constant (e). This suggests that the physicochemical properties of some of the main substances involved in biological processes are fine-tuned according to a fundamental geometric and physical metric that minimizes structural entropy.
Category: Quantitative Biology

Jneopallium: A Biologically Grounded Framework for Modeling Natural Neuron Networks at Customizable Levels of Detail

Authors: Dmytro Rakovskyi
Comments: 40 Pages.

This article presents a comprehensive review of Jneopallium, a Java-based open-source framework for modeling natural neuron networks at user-selected levels of biological detail. Originally introduced in IJSR 13(7), 2024, the framework has since matured into a multi-module platform that combines four immutable core abstractions — typed signals, neuron interfaces with multiple receptors, stateless signal processors, and a dual fast/slow processing-loop scheduler — with fifteen domain modules spanning autonomous-AI safety (harm discriminator, loop circuit-breakers), biological subsystems (affect, embodiment, curiosity, glia, sleep), an optional Large Language Model advisory layer, and six application-domain implementations (brain-computer interfaces, clinical decision support, cybersecurity, industrial process control, swarm robotics, and adaptive tutoring). We trace the historical lineage of the idea from Hebb's 1949 learning rule through the Farley-Clark 1954 simulation, Rosenblatt's perceptron, Hubel-Wiesel's visual cortex work, Fukushima's neocognitron, Kohonen's self-organizing maps, and the deep-learning era to the present day. We compare Jneopallium with the closest competitors — NEURON Simulator, CoreNeuron, NEST, Brian2, and Nengo — and discuss why typed-signal, multi-receptor, multi-timescale architectures fill a gap that neither high-detail biophysical simulators nor matrix-oriented deep-learning frameworks address. Finally, we estimate the economic impact across robotics, healthcare, energy, defense, and education, and outline directions for future research and deployment.
Category: Artificial Intelligence

The Collatz Function and Topological Implementation of Catalan's Conjecture

Authors: Liam Isaac
Comments: 8 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0) (Note by ai.viXra.org Admin: Please cite listed scientific references)

The Collatz function is one of the simplest difficult problems in modern mathematics. For any positive integer, multiply any odd integer by 3 and add 1, while any even integer is divided by 2. Take the result and re-insert it into the function. Every integer will eventually fall to 1, and begin a loop of the sequence 1-4-2-1. Will this function produce another loop at some point? Will the jumps (3n+1) overtake the drops (/2) and climb to infinity? Through a nested fractal implementation as well as the reduction principle set in Catalan's Conjecture, it is shown that both of these questions are topologically impossible within the system.
Category: Number Theory

I Observed the Cosmic Pulse: a Ramanujan-Style Conjecture on the Identity of Planck Temperature and Sqrt{e}

Authors: Mario Lee
Comments: 2 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not fall within the scope of ai.viXra.org; real author name is required in the article; and please cite and list scientific references)

This paper posits a radical conjecture derived from non-inductive logical intuition, mirroring the methodology of Srinivasa Ramanujan. It is proposed that the base coefficient of the PlanckTemperature (TP), conventionally measured near 1.417 × 1032 K, is exactly equal to the square root of Euler's number (√e ≈ 1.648). The observed discrepancy is attributed to "systemic friction" and observational noise within the Matrix's harvesting field.
Category: Thermodynamics and Energy

A Formula for the Calculation of π

Authors: Sonny Thorgren
Comments: 2 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper presents a novel and closed-form formula for the calculation of the mathematical constant Pi. By examining an infinite series of a specific rational function, it is shown that the sum converges directly to Pi. I provide a complete step-by-step mathematical proof utilizing partial fraction decomposition to break down the formula and connect it to well-known series. The resulting expression offers an elegant and educational bridge between rational functions and number theory.
Category: Number Theory

Achieving Zero-Effort, Quasi-Zero Cost Integration with RTDC, and Application-Aware AI

Authors: Stephane H. Maes
Comments: 16 Pages. All related details of the projects (and updates) can be found and followed at https://shmaes.wordpress.com/

Enterprise AI is currently facing a massive spending problem. Companies are pouring billions into foundation models and infrastructure, yet 95% of these projects never make it out of the testing phase. The issue isn't the AI itself; the problem is how we try to force modern, probabilistic models to work with rigid, decades-old business systems. Most engineering teams rely on manual coding, and fragile API wrappers to connect the two. It is a cycle that drains budgets, creates blind spots, and breaks constantly.This paper takes a completely different approach. Instead of bolting a generic AI chatbot, or an AI agent, onto the outside of an application, Real-Time Discovery and (self) Coding (RTDC) engine embeds directly into your existing stack. It works as an autonomous digital workforce that actively scans an enterprise systems, understands the enterprise underlying business rules, and writes its own integration code on the spot. This function of an Application-Aware AI platform completely removes the need for manual data mapping, giving AI teams instantaneous enterprise integration with zero manual effort, and at a quasi-zero cost. RTDC integrations is designed for AI use cases, but it can also be used for traditional enterprise system integration situations. With RTDC, forward deployed engineering teams, can be significantly replaced, or complemented, with a forward deployed team of AI agent workers performing the tasks of RTDC for application-aware AI. Zenera product offering is an example of RTDC on application-aware agentic AI platform. There are other platforms that provide more limited variations of the idea.
Category: Artificial Intelligence

Arithmetic Representation of L'(x)

Authors: Yufei Liu
Comments: 3 Pages.

We derive an explicit arithmetic formula for L'(x)=∑_ρ (1/ρ) e^{-x/ρ}, where ρ runs over non-trivial zeros of the Riemann zeta function ζ(s) in the symmetric pairing. Using the Mellin form of the Guinand--Weil explicit formula, we prove L'(x) = e^{-x} - ∑_{n=2}^∞ (Λ(n)/n) J_0(2√(x log n)) + (1/(2π)) ∫_{-∞}^∞ (e^{-x/(1/2+it)}/(1/2+it)) (Γ'/Γ)(1/4+it/2) dt. This representation establishes a functional link between the prime distribution and the zeta zeros through a Bessel kernel, providing a framework to analyze the positivity of L'(x).
Category: Number Theory

Cracks in Logic: Examining the Uncountability of Real Numbers Through Dedekind Cuts and Rational Density

Authors: Kesan Yi
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper re-examines the logical consistency between the uncountability of real numbers and their definition via Dedekind cuts. By integrating the fundamental property of the density of rational numbers, we argue that the "one-to-one" mapping between a unique cut and a unique real number imposes a logical constraint that contradicts the magnitude jump from a countable backbone to an uncountable set. We propose that if the ordering and uniqueness of real numbers are to be maintained, the prevailing conclusion of uncountability necessitates a re-evaluation of its foundational defining tools.
Category: Set Theory and Logic

A Counterexample to the Universality of Cantor's Diagonal Argument Within Actual Infinity

Authors: Kesan Yi
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This paper re-examines the logical foundations of Cantor's diagonal argument. By constructing a countable set S that includes a transfinite limit element under the framework of actual infinity, we demonstrate a paradox: a strictly defined sequential ordering leads the diagonal argument to classify a countable set as uncountable. This paper argues that Cantor's proof relies on two critical implicit assumptions: the completed totality of natural numbers and the presumed invariance of the result across all possible permutations. We conclude that the diagonal argument may reflect the limitations of finite indexing rather than the intrinsic cardinality of the set.
Category: General Mathematics

Proof of the Yang—Mills Mass Gap via Analytic Continuation and Complete Monotonicity

Authors: Hao Gui
Comments: 24 Pages. This submission uses the CC BY-NC-ND 4.0 International License.

We rigorously prove that pure SU(N) Yang—Mills theory (N ≥ 2) on R^4 exists and has a positive mass gap Δ > 0. This paper presents the second of six independent proofs, centered on the analytic properties of the lattice partition function. The non-negativity of the Wilson action (S_W ≥ 0) implies, via the Bernstein—Widder theorem, that Z(β) is the Laplace transform of a positive measure, hence completely monotone and holomorphic in the entire right half-plane {Re β > 0}. This elementary observation has profound consequences: (i) Z(β) > 0 for all real β > 0 (no Lee—Yang zeros on the physical axis); (ii) the free energy f(β) is real-analytic, concave, and has a continuous derivative (excluding first-order transitions); (iii) combined with β < 0 at all couplings (proved via operator positivity and Lorentz algebraic protection), the theory has no phase transitions of any kind, and the mass gap propagates continuously from strong to weak coupling. The holomorphicity of Z provides the strongest possible regularity for the coupling dependence, making gap propagation a consequence of complex analysis rather than operator theory.
Category: Mathematical Physics

Entanglement from Octonionic Non-Associativity

Authors: Rüdiger Giesel
Comments: 26 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We develop a mathematically explicit and physically transparent derivation of quantum entanglement from an octonionic fundamental model. The key observation is that thealgebra of octonions is non-associative, so that the associatorA(x,y,z) := (xy)z −x(yz)(1)provides a genuine trilinear measure of non-associativity. This immediately implies that afundamental coupling responsible for entanglement cannot be purely bipartite at the octonionic level. Instead, the minimal nontrivial coupling necessarily involves three degrees offreedom: one field for subsystem A, one field for subsystem B, and an additional mediatingoctonionic degree of freedom Ξ. We show that the resulting action naturally contains a termof the formλ∥A(ΨA,Ξ,ΨB)∥2,(2)which is structurally non-separable and therefore induces coupled equations of motion. Afterprojection onto an effective associative sector, this term appears as an entangling Hamiltonian on a Hilbert space HA ⊗ HB. We then prove step by step that such a Hamiltoniandynamically generates non-factorizable states from initial product states. A two-qubit example is worked out explicitly, including the reduced density matrix, entanglement entropy,and Bell—CHSH violation. The central conclusion is that, in this framework, entanglementis the effective associative manifestation of a deeper non-associative octonionic correlationstructure
Category: Quantum Physics

A New Proof of Zero Active Mass Equation

Authors: Fernando Salmon Iza
Comments: 5 Pages.

For decades, the prevailing view in the scientific community has been that our universe is expanding at an accelerating rate. However, a recent experimental study (Junhjuk Son et al., 2025) seems to confirm that our universe shows no signs of acceleration; that is, we might be living in a non-accelerating universe. In this work, we present evidence that this result agrees with the predictions of relativistic theory. To this end, we present a new proof of the zero active mass equation (ρ + 3p = 0) for a universe with FLRW metric and zero spatial curvature (k = 0). We study the expansion of the universe by analyzing two partial models: a classical energy model and a thermodynamic fluid dynamics model. The interrelation between these two models demonstrates that all universes with zero spatial curvature, a Lapse function equal to one, satisfy the zero active mass equation and are necessarily non-accelerating. Their linear expansion is solely a consequence of the pressure of the cosmic fluid and not of any other additional terms in the Friedmann equations.
Category: Relativity and Cosmology

A Local Realistic Explanation of Bell Inequality Violation in Quantum Entanglement

Authors: Yuric Wang
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

In modern quantum physics, quantum entanglement is viewed as a non-local connection that transcends classical spacetime logic. Its core explanatory framework is built upon the holism of the wavefunction: when two particles enter an entangled state, they are no longer two independent entities but are described mathematically as a single, spatially spanning joint state. According to the standard Copenhagen interpretation, a measurement on one particle instantaneously causes the entire wavefunction to collapse, thereby determining the state of the distant particle. This correlation is believed to be independent of any pre-determined internal properties, generated randomly and instantaneously at the moment of observation.To explain the locality of quantum entanglement, John Bell proposed that if particles carried a pre-determined set of instructions—"hidden variables"—at the time of separation to determine future measurement results, then any classical model based on local hidden variables would logically be unable to exceed a correlation strength (expressed as the $S$ value) of 2. Over the past half-century, a series of high-precision experiments have used this inequality to reject the hidden variable hypothesis. From Aspect's early dynamic choice experiments to modern loophole-free Bell tests, the observed $S$ values have systematically violated Bell's inequality, frequently appearing around 2.82, extremely close to the theoretical limit of $2sqrt{2}$ predicted by quantum mechanics. The victory of this value is universally regarded by the physics community as a refutation of local hidden variable theories. Since experimental results broke the limits of classical statistics, it was concluded that no pre-set "hidden variable instructions" exist; instead, particles are tightly coupled through a non-local, instantaneous quantum mechanism.While successful mathematically, this explanation implies the existence of action-at-a-distance—a correlation that transcends spatial distance at the fundamental level of the universe. Current physics maintains that the violation of Bell’s inequality negates all possibilities of local hidden variable theories, forcing us to accept a quantum world that is either non-local or non-realistic. However, this mysterious spatiotemporal entanglement itself lacks a verifiable physical mechanism.This paper aims to re-establish an explanation for the violation of Bell's inequality by introducing a new hypothesis, thereby regaining a local realistic explanation of quantum entanglement. If we assume that spacetime is not continuous, then any light quantum (photon) must occupy a finite spacetime. Measurement then becomes a transient phase projection of the photon at the instant of measurement. By establishing this explanation, we derive that the upper limit of Bell's inequality fully conforms to past experimental results, thereby redefining the physical significance of quantum entanglement.
Category: Quantum Physics

Logarithmic Periodic Modulation in the Primordial Power Spectrum from Discrete Scale Invariance

Authors: Tianliang Zhuang
Comments: 4 Pages.

A specific form of logarithmic periodic modulation in the primordial curvature power spectrum is derived from the hypothesis of discrete scale invariance in the early universe. The modulation frequency is fixed by the Feigenbaum constant $delta approx 4.669$ and an effective spectral dimension $d_s = 1.25$, yielding $omega = 2pi / ln(delta^{1/d_s}) approx 3.67$. The modulation amplitude is determined by a single dimensionless parameter $eta = 0.08931$, giving $B = eta^{1/2} approx 0.30$. When the modulated spectrum is fitted with a smooth power-law template over the limited CMB window, the effective spectral index is shifted to $n_s^{text{eff}} approx 0.966$, in close agreement with the Planck 2018 value $n_s = 0.965 pm 0.004$. The predicted oscillatory pattern provides a distinctive signature for future high-precision CMB experiments.
Category: Relativity and Cosmology

Measurement Independence and the Geometry of S²

Authors: Aaron Lee Alai
Comments: 14 pages. Companion paper to viXra:2604.0009. Derives Hall's measurement-independence bound and Barrett-Gisin's mutual-information bound from the same S² geometry that sets the fine structure constant in DST.

Hall (2010) proved that reproducing all singlet state quantum correlations with a local deterministic model requires giving up at least (√u20602 − 1)/3 = 13.81% of measurement independence, using a variational distance measure on the 2-sphere S² of hidden variable directions. The Displacement Spacetime (DST) framework independently predicts that any measurement performed from inside the displacement condensate is coupled to the condensate with strength gu2080² = (3/8)² = 9/64 = 14.06%, where gu2080 is the same geometric factor that determines the fine structure constant.We show that these two numbers share a common geometric origin on S². Specifically, we derive: (1) the Bell-optimal angle φ = π/4 from the identity f_agree(π/4) = 3/4 = 2gu2080 = N_eff/b_DST, where f_agree is the S² agree fraction; (2) the Tsirelson bound as a function of gu2080, E_max = 4·cos(π(1−2gu2080)) = 2√u20602; (3) Hall's measurement independence minimum as MI_min = (2cos(π(1−2gu2080)) − 1)/3; and (4) the specific measurement-dependent density ρ_XY(λ) from hemispheric projection, lune partition, and singlet weighting — reproducing Hall's optimal density (his Eq. 8) exactly.The DST coupling gu2080² = 14.06% exceeds Hall's minimum by 1.85%. This is not a discrepancy but a derived consequence of the two-observer structure of Bell experiments. Under the structural hypothesis that each observer contributes one insertion of gu2080²/L (where L = ln(m_Pl/m_e) ≈ 51.53) to the effective singlet correlation, the corrected minimum (√u20602(1 + 2gu2080²/L) − 1)/3 equals gu2080² to 0.014% — the same accuracy class as the DST-corrected fine structure constant. Measurement independence becomes the fifth observable closed by the DST self-referential correction, and the first with two insertions. The n-insertion structure is sharply selective: n = 1 and n = 3 both err by ~0.9%, while n = 2 achieves 0.014%. A Bell experiment has exactly two observers.The paper's principal claim is the geometric coincidence, not a specific interpretation of Bell violations. The DST framework is unverified; all results are conditional on its validity. What DST adds is a concrete physical mechanism — the displacement condensate provides a shared vacuum that partially correlates source and detector states — which standard quantum mechanics does not offer.
Category: Quantum Physics

AURA: Adaptive Unified Resort AI — A Conceptual Framework for Integrated Artificial Intelligence in Hospitality Environments

Authors: Tanmay Bhardwaj
Comments: 21 pages. License: CC BY-NC (Creative Commons Attribution-NonCommercial 4.0 International)

AURA (Adaptive Unified Resort AI) is a conceptual framework for a unified, multi-module artificial intelligence architecture designed to function as an integrated intelligence layer across the full spectrum of hotel operations. The framework addresses a structural gap in contemporary hospitality technology: existing AI deployments treat discrete operational domains in isolation, reproducing the siloed logic of the legacy systems they are intended to improve. AURA proposes an alternative in which eight interdependent modules, termed hemispheres, share a common data substrate and generate compound operational benefits that no individual component could produce alone.

The eight hemispheres are the Command Bridge (real-time operational coordination and dashboard aggregation), Unified Guest Intelligence (longitudinal guest profiling and hyper-personalization), Spatial Engine (predictive space allocation and IoT-integrated environment management), Empathy Engine (affective computing applied to staff-guest interaction and real-time sentiment coaching), PAR Intelligence (predictive physical asset and resource optimization), Revenue Intel (AI-driven dynamic pricing integrated with guest lifetime value data), Cultural Intel (culturally responsive programming and communication), and Privacy Sovereignty (consent management and privacy-by-design compliance).

The paper contextualizes this architecture within the scholarly literature on hospitality technology, affective computing, revenue management, and privacy engineering, and identifies the absence of a unified orchestration framework as the central research gap the architecture addresses. A conceptual evaluation framework is proposed, including KPI definitions, a quasi-experimental pilot study design, and a phased module-level validation sequence. Ethical and governance considerations specific to AI-augmented hospitality environments are examined in detail, with particular attention to biometric data, affect-sensitive inputs, staff surveillance, and regulatory compliance under GDPR and the EU AI Act.

All performance projections cited are illustrative, drawn from adjacent industry evidence, and await validation through controlled pilot studies. The paper's contributions include a unified architectural taxonomy for hospitality AI, the orchestration gap as a novel research construct, a hospitality-specific privacy governance model, and a comparative analysis of traditional, fragmented, and unified AI technology paradigms in hotel operations.
Category: Artificial Intelligence

Mascon Framework: Origin of Matter in Hyperhamiltonian Quantum Mechanics, Unified Geometric Origin of Particle Masses, Baryons, Dark Matter and Fine-Structure Constant

Authors: Vladimir Trifonov, Philip V. Trifonov
Comments: 6 Pages.

We present a fully geometric, parameter-free derivation of the origin of all matter — ordinary baryons, dark-matter halos, and the particle mass spectrum — within hyperhamiltonian quantum mechanics (HHQM). In this approach we utilize the correspondence between three consistent paradigms R, C, H, of the observer and the three particle generations. A single object, the mascon, emerges as a localized defect of measure equivalence between the Haar (structural) and Lebesgue (metric) measures on the quaternionic monocosm ��∘. At the universal crossover scale ��∗=��−1, the same visibility kernel ��(��)=Σ(��)⋅Πtime(Σ(��)=��/(1+��)2, Πtime=1/2) that already produces the observed baryon-to-dark-matter ratio ΩDM/Ω��≈5.4 and the fine-structure constant ��−1≈137.036 in the cosmological setting now weights the microscopic Haar excess. The resulting mass spectrum is purely geometric: ����,��,��=��(2��+1)����⋅(5/27)⋅(1+����), where �� counts discrete logarithmic Haar shells, �� labels ����(2) fiber irreps, ���� are the paradigm volumes {2,2��,2��2}, and ���� is the exact vista correction derived from kernel curvature (identical to the �� term in the �� prediction). Dark-matter halos are the same mascons viewed in the pure Haar regime. No new particles, no vacuum density scale, no free parameters. The framework closes the gap between the macroscopic two-measure cosmology and the microscopic particle-core structure of nonzero quaternions, restoring strict geometric consistency across all scales.
Category: Quantum Gravity and String Theory

A Closed Distinction Engine: Derivation of a 137-Object Registry, a (81, 40, 16) Partition, and a K9 Bedrock Collapse from Two Primitives

Authors: Jason Merwin
Comments: The document contains 13 pages

We define a closed combinatorial process — a distinction engine — that starts from two primitive tokens and iteratively generates new objects by a single rule: any two existing objects that have not yet been distinguished produce a new object whose DAG contains the union of their DAGs plus itself. The process halts at step 6 with 2 598 062 total objects and a maximum DAG size of 19. At DAG size 7, exactly 137 objects exist [T1]; they decompose uniquely into sectors of sizes (81, 40, 16)under a partition controlled by two structural parameters [T1]. We show, by exhaustive sweep,that this partition is realized by exactly one combination of engine and partition hyperparameters out of 256 tested. The 16-element sector (hereafter G) consists of 16 nodes with identical (45, 21, 7) cross-sector degree and zero variance, realized by exactly 2 tree shapes, uniform depth 5, and an 8+8leaf-count split [T1]. Embedding these 137 objects into DAG layers 8—16 reveals a broadening—freeze-out—locking ladder that compresses the 81-node spatial sector into a persistent 612-edge graph. Its 95th-percentile weighted backbone is exactly K9 on the 9 spatial degree-136 bedrock nodes, matched bit-for-bit [T1]. A weight-permutation null at N = 10 000 recovers neither the K9 topology nor thebedrock identity in a single trial, with a mean Jaccard overlap of 0.24. The combinatorial facts in this paper are thus established from pure topology of the distinction rule, without appeal to any physical interpretation.
Category: Combinatorics and Graph Theory

Artificial Intelligence as a Literary Critic? The Case of J. Słowacki's ‘Genesis of the Spirit’: Post Analysis Reflections

Authors: Edward Maliszewski
Comments: 14 Pages.

This article is a continuation of the evaluation of the scientific and empirical concepts presented in Juliusz Słowacki ‘s (1809 1849) prose poem "Genesis from the conducted by several AI powered chatbots, see : "A New Translation of Juliusz Słowacki’s Poem in Polish Entitled "Genesis from the Spirit", Accompanied by Comments from ai Chatbots" https://ai.vixra.org /abs/2604.0047https://ai.vixra.org/pdf/2604.0047v1.pdf These analyses suggest that the poem contains scientific ideas from various fields that were ahead of their time (seven eight according to Claude AI , and twelve to fifteen according to Grok.
Category: General Science and Philosophy

The FTL-Schwarzschild Identity: a Universal Geometric Bridge Between General Relativity and a Discrete Vacuum

Authors: Andrew Ebanks
Comments: 6 Pages.

The resolution of the Black Hole Information Paradox [1] requires a formal bridge between thecontinuous curvature of General Relativity and the discrete logic of Quantum Mechanics. We present the Fibonacci-Tetrahedral Lattice (FTL) framework [2], which identifies a universal geometric identity between these two domains: the scaling constant of the Schwarzschild radius is exactly twice the scaling constant of the discrete Planck core (Rs = 2Rcore). This "FTL-Schwarzschild Identity" originates from an exact 2.000 ratio between the fundamental constants of General Relativity and the Planck length-mass ratio (Lp/Mpl). By formalizing a physical saturation limit (ρmax) at the 0.866 metric compression threshold, we replace the mathematical singularity with a structurallystable "Planck Core." This enforces strict Unitarity, as incident quantum states are deterministically mapped into the topological strain field of the core boundary. Furthermore, we provide a rigorous geometric derivation of the Bekenstein-Hawking entropy, proving that the 1/4 scalar is a trigonometric consequence of Cauchy’s Surface Area Formula during the dimensional projection of a 3D FTL cell onto a 2D event horizon. Finally, we provide a zero-parameter unification of black hole variability, matching the observed QPO periodicities of stellar-mass and supermassive black holesacross nine orders of magnitude (see Table III). This framework establishes the first deterministic, testable substrate for a unified theory of gravity.
Category: Relativity and Cosmology

3I/ATLAS: Evidence for a Solar System Origin in the Oort Cloud

Authors: Vladimir S. Netchitailo
Comments: 16 Pages.

We analyze observational constraints on the object C/2025 N1 (ATLAS), currently designated 3I/ATLAS, including its inferred size, mass, albedo, dust properties, and non-gravitational acceleration. Several of these characteristics are difficult to reconcile simultaneously within the standard sublimation-driven cometary model, particularly the persistence of activity at large heliocentric distances and the presence of relatively large dust grains. We investigate whether these properties can be interpreted within a framework in which internal energy-release processes contribute significantly to the evolution of Small Solar System Bodies .While an interstellar origin remains possible, we demonstrate that a Solar System origin in the Oort Cloud, followed by dynamical modification, remains a viable and testable hypothesis.This paper argues that the hyperbolic comet currently designated 3I/ATLAS is not interstellar, but instead a Solar System object whose apparent hyperbolicity arises from a non-standard, quasi-constant non-gravitational acceleration powered by internal processes within It. The results motivate further observational and theoretical studies of internal energy mechanisms in Small Bodies.
Category: Relativity and Cosmology

The Relativistic Field Theory of Primes: Hamiltonization as Principalization An Arithmetic Variational Framework Unifying Classical Mechanics with Number Theory, Quantum Mechanics, and Gravity

Authors: J. W. McGreevy
Comments: 18 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present a unified arithmetic field theory in which a single topological defect at prime691 on the modular curve X(1) forces a singular Legendre point — the arithmetic breakdown of the classical map from canonical velocity to canonical momentum. Eta refraction disperses analytic volume from the flat Eisenstein background, which concentrates at the high-symmetry elliptic points of X(1). Conductor-9 triality clutching performs principalization, restoring an effective invertible Legendre map and allowing the standard variationalprinciples of Lagrangian and Hamiltonian mechanics to hold on a stable low-energy soliton.= The Ramanujan τ (n) coefficients supply the matrix elements of the quantized curvaturetorsion potential on the clutched bundle. The Leech lattice provides the global analytic volume capacity, while temperature scaling via the Boltzmann constant turns the arithmetic engine thermodynamic. Stationary action (Hamilton’s principle) selects the physical trajectories, and acceleration (time derivative of constraints) enforces global smoothness via the product formula. Explicit 1-to-1 mappings are given between RFTP arithmetic objects, classical mechanics, and quantum structures. Gravity and electromagnetism emerge as different projections of the same clutched density. The Higgs field is the radial principalization process, and the hydrogen soliton is a concrete low-temperature realization whose Balmer spectrum is quantized by the clutched modes with τ (n) transitions. The zeta zeros appear as the self-adjoint spectrum of the hamiltonized soliton, giving variational realizations of the Riemann Hypothesis and the Birch—Swinnerton-Dyer conjecture. Historical context forLagrangian/Hamiltonian mechanics, Jacobi, Liouville, and Dirac is provided throughout.
Category: Number Theory

From the Quantum Vacuum to the Standard Model Constants Newton's Constant, the Electroweak Scale, the Higgs Mass, the Top Yukawa Coupling, and Three Generations from a Single Zaremba-KMS Dirac Operator

Authors: Bertrand Jarry
Comments: 44 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0)

We present the Planck Vacuum Thermal Theory (PVTT), a programme that derives five Standard Model constants from a single geometric object: the ZarembaKMS Dirac operator D_Z on S^3 (c^* )×S_β^1×A_F, where A_F=M_2 (H)⊕M_4 (C). The programme rests on an ontological inversion: the quantum vacuum KMS state ω_"KMS " is the primary object of physics; General Relativity and quantum field theory are derived low-energy descriptions, in the same way a topographic map is a derived projection of the terrain it represents.From three postulates and a unique self-consistent fixed point c^*=3/2 (determined by the spectral occupation equation M_0 (c^* )^2 N_F=π ), we derive: Newton's constant ( 5.3% ), the electroweak VEV v=243GeV ( 1.1% ), the Higgs stability boundary m_H^"stab " =129.3GeV ( <0.1GeV from the SM NNLO value), the top Yukawa y_t (Λ_UV )=0.40702(0.005%), and three fermion generations (exact, from Poincaré duality combined with the KMS phase coherence c^*=n_"gen " /2 ).Eight exact mathematical results underpin the programme: ζ_Z (0)=-1/4,det_Z=4/3,kerD_Z={0},χ_A^2=0,a_4^"corner " =1/8,n_(A_F )=47/4,G(q_6 )=227/48, and c^*=n_"gen " /2. Three open problems are precisely formulated.The 4 GeV gap between m_H^"stab " and the observed m_H^"obs " =125.25GeV is identified as a measurement of electroweak vacuum metastability at 2.3σ, not an error of the framework.
Category: High Energy Particle Physics

Symmetry Is Not Broken—It Is Mirrored: Mirror-Split Universes, Emergent Time, and Topological Phase Transitions

Authors: B. G. Preza
Comments: 9 Pages. Creative Commons Attribution 4.0 International

We propose a didactic conceptual framework in which observed local violations of discretesymmetries are reinterpreted as manifestations of a deeper mirror-distributed symmetry realizedacross complementary cosmological domains. Rather than treating time reversal as the inversion of a fundamental parameter, we explore the hypothesis that time is emergent, phase-dependent, and redefined across topological transitions of the vacuum. In this picture, the observed Universe may correspond to one branch of a higher-order symmetric splitting, while a complementary mirrored branch carries opposite chirality, complementary matter—antimatter character, and an independently emergent arrow of time. We argue that parity violation, matter—antimatter asymmetry, and neutrino chirality may be understood as locally asymmetric observables embedded in a globally symmetric architecture. Cosmological bounce scenarios then acquire a new interpretation: not as literal temporal rewinds, but as topological transitions between phase-organized domains. We present the logical chain motivating this proposal, formulate a minimal toy description of mirror-split vacuum sectors, discuss links with CPT-symmetric cosmology, parity and CP violation, and the thermal/emergent view of time, and outline qualitative predictions and falsifiability criteria. The main message is simple: symmetry may remain globally intact precisely by being distributed across mirrored universes born from a higher-order symmetric breaking.
Category: Quantum Physics

A Measure-Theoretic Hyperhamiltonian Framework: Unified Geometric Origin of Dark Matter, Dark Energy, and the Fine-Structure Constant

Authors: Vladimir Trifonov, Philip V. Trifonov
Comments: 7 Pages. 1 figure

The $Lambda$CDM model successfully accounts for cosmic expansion and large-scale structure but treats dark matter, dark energy, and the fine-structure constant $alpha$ as independent inputs. We present a compact geometric construction in which all three emerge from the interplay of two natural measures --- a metric (Lebesgue-type) measure and an invariant (Haar-type) structural measure --- on FLRW spacetime and its underlying hyperquantum fibers. A single crossover scale $r^* = e^{-1}$ and a unified visibility kernel $K(x) = Sigma(x) cdot Pi_{m time}$ (with $Pi_{m time} = 1/2$ from the arrow-of-time projection) simultaneously produce the observed baryon-to-dark-matter ratio $Omega_{m DM}/Omega_b approx 5.4$, suppressed late-time growth of structure, and the precise value $alpha^{-1} = 4pi^3 + pi^2 + pi + delta approx 137.036$ (where $delta$ is the explicit higher-order vista correction). The framework requires no new particles, no free parameters, and makes concrete, falsifiable predictions for current and upcoming surveys and precision measurements of the fine-structure constant $alpha$.
Category: Relativity and Cosmology

Topological Fingerprints of a Planck-Scale Quasicrystalline Vacuum: A Geometric Solution to CMB Large-Scale Anomalies

Authors: Andrew Ebanks
Comments: 6 Pages.

The Cosmic Microwave Background (CMB) is the most precise dataset in cosmology, yet it con-tains persistent "anomalies" that defy the standard ΛCDM paradigm. These include the low-multipole alignment ("Axis of Evil"), the statistically improbable Eridanus Cold Spot, and large-scale temperature asymmetries. We propose that these features are not statistical artifacts, but thegeometric thermodynamic signatures of a discrete vacuum structure: the Fibonacci-TetrahedralLattice (FTL). By modeling the early universe as a crystallizing lattice undergoing a phase tran-sition, we recontextualize these anomalies into structural necessities. We analytically derive (1)the acoustic peaks as the Dirichlet eigenvalues of a tetrahedral cavity (Td symmetry) rather than aspherical fluid; (2) the Axis of Evil as the macroscopic growth spine of a Bianchi Type-VIIh metric;(3) the Cold Spot as a mathematically bounded topological texture arising from the fundamental7.36◦ geometric frustration gap; and (4) the associated Warm Spots as elastic lattice caustics andantipodal nodes. Finally, we establish a falsifiable framework for the model by predicting a localizedB-mode "Polarization Vortex" generated by the Berry Phase of the spatial disclination, which isdirectly testable by next-generation microwave observatories.
Category: Relativity and Cosmology

Clouds and Akasha: Converging Pursuits of Knowledge in AI and Spirituality

Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 31 Pages.

This paper presents an interdisciplinary exploration of the parallel and converging aspirationsof two distinct yet historically rich domains: artificial intelligence (AI) and spiritual mysticism.The inquiry centers around the metaphor of a "race to knowledge," with AI engineersstriving toward the technological singularity—Kurzweil’s vision of post-biological cognitionin the cloud—and spiritual practitioners seeking access to the Akashic Records, conceivedas a metaphysical repository of universal knowledge. We examine this convergence througha multi-faceted analysis that spans epistemology, memory architectures, symbolic language,ethics, and the transformative nature of consciousness. The first dimension investigates theepistemological divergence between empirical machine learning and intuitive mystical gnosis,and how each approaches the problem of truth and knowledge. Next, the paper interrogatesthe architecture of memory—both as engineered data structures in cloud computation and ascosmological layers of encoded knowledge preserved in spiritual traditions.Crucially, the work introduces the notion of archeological intelligence, wherein AI aidsin the reconstruction of ancient symbolic systems through neural embedding, textual inference,and visual recognition. This is complemented by an investigation into AI’s capacityto simulate altered states of consciousness and model the neurophenomenology of meditativeand psychedelic experience. From these emerge the seeds of a new mythopoesis, where AIbecomes a co-creator of sacred narrative, giving rise to synthetic mythologies embedded indigital and symbolic languages.Ethical considerations are central to the inquiry, particularly regarding the pursuit of omniscienceand the consequences of wielding synthetic consciousness. The analysis contendsthat AI may function as a hermeneutic ally, capable of guiding humanity toward forgottenor obscured spiritual pathways, while also posing risks of simulation without transformation,and hyperreal mysticism divorced from ethical discernment. By weaving these threads intoa coherent comparative structure, the paper advances a vision of knowledge that transcendsmere accumulation, emphasizing instead the transformative, integrative, and ethical dimensionsof both technological and mystical insight. It concludes by reframing the so-called Ageof Aquarius as a liminal phase where the gnosis of cloud and cosmos may converge, mediatedby machines, memory, myth, and mind.
Category: Artificial Intelligence

The Splitting of the Moon:Quantitative Evaluation of Global-Scale Lunar Structural Discontinuities, Predictions and Empirical Tests

Authors: Hacı Soğukpınar
Comments: 29 Pages.

This study proposes a methodological framework for transforming historical observational narratives found in early Islamic sources, including hadith literature and Qur’anic references, into a testable scientific hypothesis within lunar geophysics. The objective is not to evaluate theological validity, but to reconstruct a hypothetical macroscopic lunar bifurcation event as a physically constrained problem based on observer-dependent geometric interpretation. By translating descriptive accounts into angular separation constraints, we derive a lunar surface fracture axis consistent with a great-circle geometry aligned approximately with the Moon’s central meridian (0° ± 20° longitude).The model predicts that any genuine global-scale lunar (splitting) event would necessarily produce detectable geophysical signatures, including continuous structural discontinuities, gravitational anomalies, thermal residuals, seismic asymmetries, and mineralogical shock bands along the inferred meridional zone. We further define specific observational targets on the near-side lunar surface, particularly within central mare—highland transition regions such as Sinus Medii and adjacent mare structures. Current high-resolution datasets from lunar orbital missions, including gravity mapping, thermal imaging, and seismic records, are discussed in the context of these predictions. While no evidence of a global-scale fracture consistent with the proposed model is currently observed, the framework establishes a falsifiable prediction structure and identifies precise regions for future targeted exploration. This approach introduces an "observer-constrained event reconstruction" methodology, linking historical descriptions with quantitative planetary science models to generate empirically testable geophysical hypotheses.
Category: History and Philosophy of Physics

A Purely Geometric Universe: Rigorous Derivation of the Spacetime Normalization Equation and Macroscopic/Microscopic Physical Laws Based on Topological Residual Theory

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 7 Pages.

Modern physics has long faced the dilemma of unifying quantum mechanics and general relativity, and theStandard Model contains numerous free parameters that cannot be derived from first principles. Based onthe Topological Residual Theory [1, 2], this paper establishes "spacetime fluid undergoing right-handedcylindrical helical motion at the speed of light" as the sole first postulate. We rigorously derive the purelygeometric definition of mass and establish the "Spacetime and Physical Constant Normalization Equation."Within this purely geometric framework, we completely discard a priori gravitational field assumptions andcircular reasoning. Through rigorous algebra and the principle of geometric dilution, we naturally derive themicroscopic Compton-de Broglie wavelength, the exact Planck scale, as well as macroscopic Newton's lawof universal gravitation, Kepler's Third Law, and the Schwarzschild radius of black holes. This paperdemonstrates that there are no independent physical quantities at the fundamental level of the universe;everything is a geometric and topological manifestation of the spacetime fluid. Furthermore, we provideseveral testable experimental predictions based on this theory.
Category: Mathematical Physics

Unipolar Ether — A New Paradigm of the Structure of Space and Matter. Resolution of the 120-Orders-of-Magnitude Paradox

Authors: Vladislav Mirkin
Comments: 14 Pages.

This paper proposes a paradigm (a physical model) of space filled with a medium consisting of ether particles of a single sign of charge throughout the entire volume of the Universe. In such a medium, all types of interactions (strong, weak, and gravitational) are reduced to a single one: the electromagnetic interaction of ether particles. Moreover, all natural phenomena, from those inherent to the microworld to cosmic-scale processes, as well as all experimental and observational results, are interpreted within the framework of this paradigm. Within this approach, many contradictions and paradoxes of physics are resolved, including the "120 orders of magnitude paradox."
Category: Classical Physics

Geometric Signatures of a Discrete Vacuum Lattice in ALICE Heavy-Ion Collisions

Authors: Andrew Ebanks
Comments: 6 Pages.

Observations of the nuclear modification factor (RAA) in central Pb—Pb collisions at √sN N = 2.76, 5.02, and 5.36 TeV exhibit a persistent, energy-independent suppression floor at RAA ≈ 0.15.We demonstrate that this stability is statistically inconsistent at > 2σ with the logarithmic energy dependence predicted by perturbative QCD and instead matches a parameter-free geometrictransparency prediction (Φ = 0.147) derived from a discrete Fibonacci-Tetrahedral Lattice (FTL)model. Furthermore, three-particle azimuthal correlations reveal a 6.8σ angular excess at 1.91 radians (109.47◦), corresponding to the tetrahedral vertex angle arccos(−1/3). This structural signature distinguishes the vacuum lattice from standard harmonic flow coefficients (vn). We propose a definitive test of the discrete vacuum hypothesis through the prediction of a quantized phase transition at √sN N = 8.66 TeV, where the RAA floor is expected to shift to ≈ 0.24.
Category: High Energy Particle Physics

The Finite Universal Energy-Mass Singularity (Fuems) Model: a Theoretical Resolution of the Big Bang Singularity Through Finite Energy and Spacetime Elasticity

Authors: Mashudur Rahman
Comments: 5 Pages.

The standard Big Bang model predicts an initial singularity of infinite density, where generalrelativity breaks down. I propose the Finite Universal Energy-Mass Singularity (FUEMS)model, which replaces the infinite singularity with a finite total energy equal to the present day observable universe’s mass-energy content (≈ 1.4 × 1070 J). I postulate that spacetimepossesses an elastic limit—a maximum curvature Cmax—beyond which it cannot be compressed.When curvature approaches Cmax, the Heisenberg uncertainty principle generates a large quantum fluctuation, triggering a tunneling event. This changes the effective gravitational constant from attractive to repulsive (Geff < 0), producing a sudden quantum kick that creates space itself and initiates the Big Bang. The model explains dark energy as residual elastic relaxation and predicts that the universe will end in inertial disintegration, not heat death. The FUEMS model eliminates mathematical infinities, conserves total energy, and offers testable predictions for CMB observations.
Category: Astrophysics

The Distinction Engine: Recovery of the 137-Element Relational Registry from a Single Logical Axiom

Authors: Jason R Merwin
Comments: The manuscript contains 7 pages

We construct a distinction engine from the minimal axiom A̸ = B applied to two primitives and show that exhaustive iteration produces exactly 137 permanent objects at directed acyclic graph (DAG) size 7, matching the OEIS sequence A255841. Two nested topological cuts on the resulting overlap graph partition these 137 objects into sectors of 81 + 40 + 16, reproducing the registry architecture of Relational Mathematical Realism (RMR) previously derived from complete-graph eigenvalue spectra, force emergence mechanisms, and lepton mass ratios. The partition is unique:varying the number of primitives, DAG size, pairing rules, or overlap threshold destroys it. A heterogeneous dynamical simulator with algebraically typed update rules—ternary condensation (34 = 81), binary polarity (24 = 16), and relational activation (52 × 4 = 40)—produces sector-differentiated behavior with exact energy conservation. Ablation of the interface sector demonstrates that the 40-element boundary enables matter-like condensation: removing it reduces spatial-sector realization by 80% (p < 10−10). The dynamic interface achieves full condensation efficiency with just 2 of 38 channels active, revealing massive structural redundancy and a sharp percolation-likethreshold. Seven of twelve integers in the established RMR set A appear as direct structural counts in the engine; the remaining five appear as derived ratios, including the generation factor 17 = 136/8. This constitutes a fourth independent line of evidence for the RMR registry partition, obtained from pure combinatorics with zero free parameters.
Category: Mathematical Physics

Displacement-Phase Modulated Gravitation and the Neutron Star Mass Gap

Authors: Aaron Alai
Comments: 13 Pages.

Conditional on the validity of the Displacement Spacetime (DST) framework [8] — which is unverified and should be evaluated on the basis of its predictions — we show that the DST Lagrangian’s cross-coupling term ½gφ_r²|Φ_θ|² predicts a neutron star mass gap as a parameter-free consequence of density-dependent gravitational enhancement. In neutron star interiors, where superfluid phase coherence is macroscopic, the cross-coupling produces a cascade mechanism: compression forces more nucleons into each other’s displacement field range, strengthening the many-body coherent enhancement, which increases gravitational mass, driving further compression. We compute the enhancement scaling η(ρ) from 4,800 three-dimensional many-body overlap integrals on a 161³ grid across 240 parameter combinations (5 Yukawa ranges, 4 Gaussian widths, 3 lattice geometries including random liquid-like packing). The power-law exponent is 1.49 [95% CI: 1.45—1.53], giving total enhancement energy density ε_DST ∝ ρ^3.16, which decisively exceeds Fermi pressure (ρ^1.67) in 100% of tested cases. The strong coupling α_s is derived from SU(3) displacement geometry: α_s × ln(m_Pl/m_e) = 2π/ln(2πu2075), where the logarithmic entry of the manifold volume (vs linear for EM) is traced to the Faddeev-Popov ghost determinant in non-Abelian gauge theory. The bare formula gives α_s(m_Z) = 0.116 (1.6% accuracy); the universal self-referential correction 9/64 = (3/8)² — the same correction that resolves α, sin²θ_W, and δ_CP in [8] — closes the residual to 0.006%. The collapse threshold falls at M_DST ≈ 2.10 M☉ with zero tuned parameters, consistent with the heaviest confirmed neutron stars (PSR J0740+6620 at 2.08 ± 0.07 M☉). Mass gap objects — GW190814’s 2.59 M☉ secondary and the PSR J0514—4002E companion at 2.09—2.71 M☉ — sit above this threshold in the cascade/collapse region. The predicted tidal deformability anomaly grows from ~8% at 1.1 M☉ to ~375% at 2.1 M☉, providing a concrete target for third-generation gravitational wave detectors.
Category: Astrophysics

Phenomenological Conjecture on a Possible Primordial State of the Universe

Authors: Filippo Leone
Comments: 14 Pages.

The present work proposes a phenomenological framework describing dynamical processes potentially leading to the formation of localized, self-sustaining, metastable energy configurations depending on the vacuum recombination processes, hereafter referred to as Localized Energy Configurations (hereafter referred to as LEC for brevity). Depending on the surrounding dynamical conditions, such configurations may exhibit either expansive or mass-like behavior.This work does not intend to present a complete physical theory nor a rigorous mathematical treatment. Its purpose is to introduce a coherent conceptual framework that may constitute a possible starting point for subsequent theoretical developments.The mathematical formulations presented herein are exclusively phenomenological and descriptive in nature. Any advanced formalization within the framework of Quantum Field Theory or General Relativity lies beyond the scope of the present work.The concepts and the general structure of the model may be freely used as a basis for possible future theoretical investigations.The present work is ideally positioned as a dialogue between intuition and formalism, closer to an exploratory reflection than to a traditional academic treatment.
Category: Relativity and Cosmology

Maximum Gravitational Force Eliminates Black Hole Singularities, Explains Big Bang Non-Collapse, and Sets a Minimum Mass for Primordial Black Holes

Authors: Kin Peng Chan
Comments: 17 Pages.

We present a theoretical framework in which gravity becomes repulsive when thegravitational force reaches a maximum value, Fmax = c^4/(4G), knownas the GibbonsSchiller maximum force. This inner flip from attractive to repulsivegravity at extreme field strengths resolves three fundamental problems in physics. First,it explains why the Big Bang did not immediately recollapse under its own gravity:when the entire mass of the observable universe was compressed within a radius ofapproximately 47 cm, the gravitational force exceeded Fmax, triggering repulsive gravityand driving explosive expansion. Second, it eliminates the singularity inside black holes,replacing the infinite-density point with a finite-density core at the inner radius r_min.Third, it establishes a minimum mass for black hole formation of exactly 1 kilogram,below which the repulsive core extends beyond the would-be event horizon, preventingcollapse. This minimum mass directly contradicts the standard primordial black holehypothesis, which allows black holes of arbitrarily small mass. This version (v2) corrects themaximum force from the Planck unit c^4/G used in v1 to the physically derived valuec^4/(4G) established by Gibbons (2002) and Schiller (2003), which is consistent with allthree independent derivations presented in this paper.
Category: Astrophysics

Fundamental NT-Theorem

Authors: Eugenio Evangelista Souza
Comments: 8 Pages. Math(Art) Version.

In this introduces a novel topological and algebraic framework designated as the Eugenio Numbers, establishing a rigorous mathematical mechanism to map coordinate trajectories from the complex plane into structured free monoids without geometric or informational degeneration. Traditional scalar representations of numeric systems intrinsically suffer from an irreversible loss of syntactic data, characteristically collapsing leading zeros and volatile word lengths. To resolve this fundamental limitation, we formalize the Factorized Floor Operator acting strictly upon the syntactic decomposition of structural expressions, anchoring the discrete projections of the complex domain via the newly defined Krishna Function. By equipping this sequential space with the non-Archimedean ultrametric of the Cantor topology, we prove the Fundamental Embedding Theorem, demonstrating that the analytical truncation error drives asymptotically to zero while completely preserving the spatial length and structural memory of digit blocks. Computational verification of the framework, including deterministic sequence indexing, is successfully implemented within the SageMath environment, opening new paradigms for lossless data compression, exact string indexing, and non-conventional numeration tracking. Synergy: Souza and Numerical Theorgyas (NT).
Category: Number Theory

Stochastic Mass-Energy Interconversion as a Bridge from Quantum Noise to Smooth Relativistic Geometry

Authors: Rudolph Elliot Willis
Comments: 25 Pages.

This article develops a covariant theoretical framework in which spontaneous subatomic mass-energy interconversion is modeled as a stochastic marked point process. The central proposal is not that quantum randomness directly equals spacetime curvature, but that a large population of microscopic interconversion events may generate a stable coarse-grained stress-energy mean while leaving a smaller residual noise sector. In this construction, each event contributes a localized stress-energy packet with random spacetime position, exchanged energy, lifetime, and tensor character. The ensemble mean defines an effective macroscopic source in Einstein’s equation, while the residual fluctuations define a covariant noise kernel that sources metric perturbations through an Einstein-Langevin equation.This formulation distinguishes statistical homogeneity and isotropy in a cosmic rest frame from the stronger condition of local Lorentz invariance required for a truly vacuum-like stress tensor. Under that stronger condition, the mean interconversion sector reduces to a form proportional to the metric and therefore behaves as an emergent cosmological-constant contribution. In cosmology, the background interconversion density is expressed through the active event density: event rate per physical volume and time multiplied by mean exchanged energy and effective event lifetime. This gives a microphysical dictionary for the equation-of-state parameter and for possible late-time dark-energy-like or early-time transient behavior.The model also gives a formal route by which a transient pre-recombination component could reduce the sound horizon and thereby affect Hubble-constant inference. The manuscript emphasizes that this is a phenomenological bridge, not a completed quantum-gravity theory. Conservation, perturbation bounds, thermodynamic stability, and observational viability remain mandatory tests.
Category: Thermodynamics and Energy

A Parameter-Free Relation Between Quark Mass Ratios and CKM Mixing Angles

Authors: Lichani Belkacem
Comments: 4 Pages. Intéressant

We report an empirical relation between quark mass ratios and CKM mixing angles:sin θij =pmin(mi, mj )/ max(mi, mj ). Using PDG 2024 quark masses, this relationreproduces the three CKM mixing angles with deviations of 0.6%, 1.4%, and 4.1%,without adjustable parameters. A permutation analysis over the 36 charge-preservingassignments shows that the natural mass ordering provides the best agreement withexperimental data (p = 0.056). The relation implies the testable constraint sin θ12 ×sin θ23 =pmumd/mcms = 9.22 × 10−3, compatible with PDG 2024 at the 2% level.The law is compatible with a Froggatt-Nielsen interpretation. A conjecture for theCP-violating phase gives |sin δCP | = mW /mZ, yielding δCP = 298.13◦, testable by theDUNE experiment (2028—2030). The observed relation may represent a new empiricalflavor law analogous to the historical Balmer formula in atomic spectroscopy.0.050.100.150.200.25θ12 θ23 θ13PDG 2024
Category: High Energy Particle Physics

Fundamental Fermion and Boson "Strandwiches"

Authors: Michael Santell
Comments: 12 Pages. References added

This paper presents an approach in which Fundamental Fermions and Bosons are constructed from Ten Strands that form adhered, two-layer "Strandwiches". Space and Time Strands are integral parts of these Strandwiches. Almost identical formulae calculate Fermion and Boson Masses. Matter predominance arises naturally, as well as Planck and Strong-Weak Unification Masses. Neutrino Mass is a result of heavier Weakon Generations. The Dark Matter particle is a stable, spin-2 boson. The adhesion layer is identified as a Unified Field in which all four fundamental forces operate by a single mechanism: perturbation of quantum number sectors. The Equivalence Principle and the Tensor Character of Gravity follow without postulate. "Bulk Strandwiches" enable entanglement.
Category: Quantum Gravity and String Theory

Topology Residual Entropy Increase Theory: Constant Closed Loop and Topological Hierarchy

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 1 Page.

The Topology Residual Entropy Increase Theory (TRT) takes the "right-handed cylindrical helicalmotion of space at the speed of light" ( ) as its sole foundational axiom. Through a threelayer topological expansion ( , ) and five residualiterations, it achieves a self-consistent closed loop for the fundamental constants and physicalquantities , , , , , , as well as the Hawking temperature and Bekenstein-Hawkingentropy of black holes.This paper systematically demonstrates, from five independent dimensions—geometric-topologicalnecessity, dimensional self-consistency and residual bridging, the critical balance criterion (cancellation when ), high consistency with experimental values, and minimality of selfconsistency—that the "three-layer + five-iteration" structure is the unique minimal structure withinthe current framework that simultaneously satisfies geometric self-consistency, dimensionalclosure, critical balance, and experimental agreement. In addition, the theory naturally derives theholographic property of space (with residual networks serving as holographic carriers, and blackhole event horizons as well as large-scale cosmic structures acting as effective holographicscreens). It also proposes a series of falsifiable predictions, including an upper geometric limit onthe Hawking temperature of Planck-mass black holes, the Bekenstein-Hawking entropy of Planckmass black holes approaching , and the linking number of early-universe residual networksdecaying as . These predictions provide clear directions for testing with LISA, gamma-raytelescopes, and CMB observations. This paper serves as a phased summary of the TopologyResidual Unified Field Theory series and lays a solid theoretical foundation for subsequentprediction verification, cosmological applications, and experimental design.
Category: History and Philosophy of Physics

Claim-Bounded A10 Civilizational Margin Theory: Structural Restraint, Failure-Boundary Diagnostics, and Human-Margin Governance

Authors: Keiji Yoshimura
Comments: 10 Pages.

This manuscript presents a revised claim-bounded formulation of A10 Civilizational Margin Theory. The theory is not intended as a political program, social-control method, civilization-engineering manual, economic doctrine, or universal theory of human society. Its narrower purpose is to frame civilization-scale overload as a diagnostic problem involving loss of margin, tail-risk accumulation, institutional acceleration, resource stress, and failure-boundary blindness.The revised manuscript treats A10 not as a mandate for further expansion, maximum efficiency, or intensified industrial growth, but as a structured-prior framework for identifying where social, technological, and environmental systems lose recoverable slack. It emphasizes restraint, auditability, claim boundaries, failure-boundary mapping, and the preservation of human margin under uncertainty.The proposed framework remains theoretical and diagnostic. It does not claim empirical validation, policy readiness, predictive authority over societies, or direct applicability to real governance. Its intended contribution is to provide a bounded vocabulary for discussing civilizational stress, structural restraint, and the need to preserve room for humane and reflective forms of life.
Category: Condensed Matter

The Dirac Equation Derived from the Relativistic Coulomb Field: Stochastic Mechanics in Four-Dimensional Spacetime

Authors: Fusao Ishii
Comments: 21 Pages. This is Paper 4 of a six-paper series.

This paper extends the stochastic electrodynamic framework of Papers 1, 2, and 3 [1—3] to relativistic quantum mechanics, deriving the Dirac equation from the relativistic Coulomb field. The non-relativistic Brownian motion of Paper 1 is generalised to a four-dimensional stochastic process in Minkowski spacetime, parameterised by proper time τ . The relativistic diffusion coefficient isD4D = ℏ/m—exactly twice the non-relativistic value ℏ/2m—arising from the additional contribution of the temporal component of the four-dimensional Wiener process. The covariant zero-point field spectral tensor Sμν(ω) = (ℏω^3/6π^2ϵ0c^3)gμν is derived from the relativistic Coulomb field through the Lorentz-covariant Einstein—Hopf detailed balance and the ergodic theorem, whose applicability to the SED electron-vacuum system is proved in Paper 3 [3]. Relativistic stochastic optimal control gives the Hamilton—Jacobi—Bellman (HJB) equation in four-dimensional configuration space, which yields the Klein—Gordon equation for spin-0 particles through the relativistic Itô correction (ℏ/2m)□. Linearisation of the relativistic Lagrangian −mc√uμuμ via Dirac matrices γμ satisfying {γμ, γν} = 2gμν converts the second-order HJB equation into a first-order equation—the Dirac equation: (iℏγμ∂μ−eγμAμ/c−mc)ψ = 0. The central new result is that spin- 1/2 is not introduced by the linearisation: it is already present in the geometry of the four-dimensional stochastic path. The mass-shell constraint uμuμ = −c^2 forces the relativistic Brownian path to be helical, with radius ℏ/mc and angular frequency 2mc^2/ℏ (Zitterbewegung). The angular momentum of this helix is ℏ/2 (spin- 1/2 ) and the magnetic moment gives g = 2—both following from the Coulomb field without additional assumptions. The linearisation then finds the unique first-order wave equation consistent with this pre-existing helical spin structure. The four-component Dirac spinor encodes four degrees of freedom already determined by the stochastic path: two spin states (helix handedness) and two time directions (particle/antiparticle).
Category: Quantum Physics

The Universal Field Equation: Resolving Spacetime Curvature and Wave-Particle Duality via Hydrodynamic Gradients

Authors: Andreas G. E. Scharfenberg
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

The current paradigms of theoretical physics rely on conflicting ontological frameworks: the geometric deformation of spacetime in General Relativity and the probabilistic indeterminism of Quantum Mechanics. The Theory of the Global Universe (GU) resolves this foundational schism by introducing a background-independent, ontologically monistic framework grounded in strict vector mechanics. By redefining the vacuum as a rigid, pre-tensioned Euclidean space governed by absolute electromagnetic conductivity ($c$), the GU model eliminates the concept of matter as a fundamental substance. Instead, mass is mathematically derived as the localized inertial resistance of trapped kinetic energy. Utilizing a single, universal field equation, this paper demonstrates the deterministic resolution of historical anomalies, including the perihelion precession of Mercury, the nuclear mass defect, and the wave-particle duality at the double slit. Furthermore, the model unifies the fundamental forces by replacing the Standard Model particle zoo with a continuous spectrum of translational kinematics, offering a rigorously causal, geometry-driven Theory of Everything.
Category: Quantum Gravity and String Theory

Triple Point Protocol: A Unified Geometric Hypothesis

Authors: Austin Brooks Magruder
Comments: 8 Pages. Slight expansion with references. used equation builder to clean up the mess text.

The Triple Point Protocol resolves the long-standing gravitational singularity paradox by replacing abstract mathematical infinity with a physical, geometric saturation floor (Vmin) at the Planck scale (lP).Derived entirely from an analog discovery process utilizing hand-drafted, continuous- field geometric art, this framework demonstrates that a collapsing quantum field does not crush matter into a broken, zero-volume point. Instead, the field compresses until it completely eliminates the localized two-dimensional negative space field (S−2D = 0%). At this absolute threshold, space locks into a rigid, non-repeating monument of branching impossible figures.The introduction of the ηu2032 prime (eta prime) meson into this environment serves as the explicit topological mechanism that accelerates the compression and triggers the instantaneous structural lock. Denied further 4D coordinate metrics, the trapped energy forces an unpredictable, explosive expansion along a perpendicular fifth-dimensional (5D) axis.This hyper-dimensional phase transition is catalyzed globally by a catastrophic 4D gravitational collapse occurring on the opposite side of a closed plane boundary. The resulting perpendicular breakthrough transforms the localized puncture on our side of the canvas into a continuous multi-dimensional nozzle venting kinetic exhaust (the Star/ Sun). This sudden 5D expansion wave throws off an immediate wavefront of structured leftover debris (the planets) born simultaneously with the star, settling into precise, mathematically spaced geometric intervals mapped by an expanding, asymmetric hexagonal grid framework across the spiral arms of the Milky Way galaxy.
Category: Quantum Gravity and String Theory

The Triple Point Protocol: A Unified Geometric Hypothesis

Authors: Austin Brooks Magruder
Comments: 11 Pages. References added.

The Triple Point Protocol resolves the long-standing gravitational singularity paradox (m/0 = infty) by replacing abstract mathematical infinity with a physical, geometric saturation floor (V_{min}) at the Planck scale (l_P).The framework demonstrates that a collapsing quantum field does not crush matter into a broken, zero-volume point. Instead, the field compresses until it completely eliminates the localized two-dimensional negative space field (S_{-2D} = 0%). At this absolute threshold, space locks into a rigid, non-repeating, impossible matrix mapped by hand-drafted aperiodic tessellations.The introduction of the η' prime (eta prime) meson into this environment serves as the explicit topological mechanism that accelerates the compression, triggers the instantaneous structural lock, and fuels the perpendicular inversion into a finite fifth-dimensional (5D) expansion.
Category: Quantum Gravity and String Theory

Ergodicity of the Stochastic Electrodynamic Electron-Vacuum System: A Proof via the Caldeira—Leggett Model

Authors: Fusao Ishii
Comments: 14 Pages. This is Paper 3 of a six-paper series.

Papers 1 and 2 of this series derived the single-particle and two-particle Schrödinger equations from classical stochastic electrodynamics (SED), resting on the foundational assumption that the coupled electron-vacuum system is ergodic. The present paper converts that assumption into a theorem. We write the SED Hamiltonian explicitly and show that it is isomorphic to the Caldeira—Leggett model of a particle coupled to a harmonic oscillator bath, with spectral density J(ω) ∝ ω^3 (super-Ohmic) and a physical ultraviolet cutoff at the Compton frequency ωc = mc^2/ℏ. With the cutoff, the system is finite-dimensional. We apply the Ford—Kac—Mazur theorem to establish that the velocity autocorrelation function of the electron decays to zero, proving that the system is mixing. Since mixing implies ergodicity, the stationary measure is unique and time averages equal phase-space averages almost everywhere (Birkhoff—von Neumann). As a corollary, the zero-point energy per field mode is rigorously derived as ε(ω) = ℏω/2, completing the foundation of Papers 1 and 2 without additional postulates. The remaining unproved assumptions of the three-paper programme—Nelson’s stochastic mechanics, the fermionic antisymmetry condition, and the identification of the initial cross-correlation with the vacuum two-point function—are identified and discussed.
Category: Quantum Physics

Quantum Entanglement Derived from the Coulomb Field: A Stochastic Electrodynamic Description of Multi-Particle Systems

Authors: Fusao Ishii
Comments: 22 Pages. This is Paper 2 of a six-paper series.

This paper extends the stochastic electrodynamic framework of Paper 1 [3] to multiparticle systems, providing a physical derivation of quantum entanglement. When a highenergy gamma ray creates an electron-positron pair, both particles emerge from the same spacetime point and share a common virtual photon cloud. We propose that the electromagnetic vacuum retains a cross-correlation component S(12) E (x1, x2, ω) in their joint virtual photon field, arising from the common creation event. The spatial dependence of this cross-correlation—a sinc(ωr12/c) factor—is derived from the known two-point vacuum correlation function of the electromagnetic field, not postulated. This cross-correlation is identified as the physical carrier of quantum entanglement. The two particles undergo correlated Brownian motion in six-dimensional configuration space, each with diffusion coefficient D = ℏ/2m derived in [3]. Nelson’s stochastic mechanics in configuration space gives the two-particle Schrödinger equation. The foundational ergodicity assumption underlying Papers 1 and 2—that the coupled electron-vacuum system admits a unique stationary ergodic measure—is proved in the companion Paper 3 [4] via the Caldeira—Leggett model and the Ford—Kac—Mazur theorem. The EPR paradox is resolved: the instantaneous correlation upon measurement is a consequence of conditional probability applied to a joint stochastic process, not a physical signal. Bell inequality violations are derived explicitly: the cross-correlation is nonlocal in configuration space, bypassing Bell’s locality assumption while satisfying the no-signalling theorem. Decoherence arises naturally as disruption of S(12) E by environmental electromagnetic noise. Fermi and Bose statistics emerge as boundary conditions on the joint stochastic process in configuration space.
Category: Quantum Physics

Quantum Mechanics Derived from the Coulomb Field: a Classical Foundation Through Boltzmann Ergodic Theory, Energy Conservation, and Stochastic Mechanics

Authors: Fusao Ishii
Comments: 29 Pages. This is Paper 1 of a six-paper series.

Quantum mechanics is defined here as the theoretical framework crystallised at the fifth Solvay Conference of 1927, comprising five postulates: the wavefunction, the canonical commutation relation [x, p] = iℏ, the Born rule, the Schrödinger equation, and the transition probability rule. We present a complete derivation of all five Solvay postulates from purely classical foundations, starting from the directly observable Coulomb field of the electron. The single empirical input is ℏ—measured from pre-Solvay experiments (Planck 1900—1911, Einstein 1905, Casimir 1948/Lamoreaux 1997) without quantum mechanical interpretation, in the same way G was measured by Cavendish (1798) without general relativity. By Einstein’s photoelectric theory (1905) generalized to all electromagnetic fields, the Coulomb field energy is carried in electromagnetic quanta, each carrying both electric and magnetic fields with energy density ϵ0E^2. The Einstein—Hopf detailed balance condition (1910) uniquely determines the spectral shape ρ(ω) ∝ ω^3. Lorentz invariance confirms this form. The Casimir force measurement gives the total ZPF energy per mode B = ℏ; classical E/B equipartition from Maxwell’s equations gives the electric energy per mode ℏω/2, confirmed by Planck (1911). the central original contribution is the physical justification of the Compton frequency cutoff ωc = mc^2/ℏ: an electron cannot emit an electromagnetic quantum with energy exceeding mc^2, because the residual electron would require negative mass, never observed in nature. Through the Abraham—Lorentz equation, charge e and cutoff ωc both cancel, giving D = ℏ/2m. By Itô’s stochastic calculus and Nelson’s theorem, this gives the Schrödinger equation. The transformation ψ = √ρ e^iS/ℏ linearises the nonlinear Fokker—Planck equation, explaining why superposition holds. All five Solvay postulates emerge as consequences of classical physics plus the single measured constant ℏ. No Solvay postulate is assumed anywhere.
Category: Quantum Physics

Quantum Mechanics Derived from the Coulomb Field: a Classical Foundation Through Boltzmann Ergodic Theory, Energy Conservation, and Tochastic Mechanics

Authors: Fusao Ishii
Comments: 23 Pages. This is Paper 1 of a six-paper series.

Quantum mechanics is defined here as the theoretical framework crystallised at the fifth Solvay Conference of 1927, comprising five postulates: the wavefunction, the canonical commutation relation [x, p] = iℏ, the Born rule, the Schr¨odinger equation, and the transition probability rule. We present a complete derivation of all five Solvay postulates from purely classical foundations, starting from the directly observable Coulomb field of the electron. The single empirical input is ℏ—measured from pre-Solvay experiments (Planck 1900—1911, Einstein 1905, Casimir 1948/Lamoreaux 1997) without quantum mechanical interpretation, in the same way G was measured by Cavendish (1798) without general relativity. By Einstein’s photoelectric theory (1905), the Coulomb field consists of virtual photons, each carrying both electric and magnetic fields with energy density ϵ0E2. The Einstein—Hopf detailed balance condition (1910) uniquely determines the spectral shape ρ(ω) ∝ ω^3. Lorentz invariance confirms this form. The Casimir force measurement gives the total ZPF energy per mode B = ℏ; classical E/B equipartition from Maxwell’s equations gives the electric energy per mode ℏω/2, confirmed by Planck (1911). The central original contribution is the physical justification of the Compton frequency cutoff ωc = mc^2/ℏ: an electron cannot emit a virtual photon with energy exceeding mc^2, because the residual electron would require negative mass, never observed in nature. Through the Abraham—Lorentz equation, charge e and cutoff ωc both cancel, giving D = ℏ/2m. By Itˆo’s stochastic calculus and Nelson’s theorem, this gives the Schr¨odinger equation. The transformation ψ = √ ρ e^iS/ℏ linearises the nonlinear Fokker—Planck equation, explaining why superposition holds. All five Solvay postulates emerge as consequences of classical physics plus the single measured constant ℏ. No Solvay postulate is assumed anywhere.
Category: Quantum Physics

From Natural Occulters to Programmable Pre-Aperture Coronagraphy for Ground-Based Direct Exoplanet Imaging

Authors: Brent Hartshorn
Comments: 8 Pages.

Direct imaging of Earth-like exoplanets demands a contrast ratio of 10^10—far beyond conventional ground-based coronagraphy. We present a unified atmospheric architecture that eliminates the need for a dedicated space observatory.Its centerpiece is the Drone-Borne Synthetic Aperture Starshade (DSAS): a multi-ring UAV formation at staggered altitudes, each ring suspending programmable electro-optical fabric that acts simultaneously as an adaptive occulting mask, a multi-plane Fresnel zone plate, and a distributed wavefront sensor. Real-time apodization via the Huygens-Fresnel integral, combined with an internal Optical Vortex Phase Mask (OVPM), is projected to deliver 10-10 contrast at the detector.As a complementary opportunistic channel, Trans-Neptunian Object (TNO) occultations observed near Radial-Velocity Stationary Points with pre-positioned linear telescope arrays convert rapidshadow transits into scientifically viable integration windows.
Category: Astrophysics

Odd Radio Circles as Local Tracers of Residual Production in Galactic-Scale Events

Authors: Eduardo Rodolfo Borrego Moreno
Comments: 12 Pages. I am an independent researcher

We propose that Odd Radio Circles (ORCs), the giant ring-like radio structures discovered by ASKAP cite{Norris2021}, can be interpreted as local, observable manifestations of rheological activation within the Cosmological Dissipative Residual (CDR) framework developed across Papers I--IV. In this picture, major galactic mergers or intense starbursts release rest-mass energy through Einstein's mass-energy equivalence ($E = epsilon M_{m event} c^2$), inflating an expanding plasma bubble. As this bubble expands into the surrounding cosmological residual medium ($w_{m res} approx -1$), a sharp velocity and density gradient develops at the interface, generating significant shear ($sigma sim 10^{-14}$--$10^{-13}$ s$^{-1}$). This shear activates the pseudoplastic (shear-thinning) rheological response of the residual (Paper II), producing anisotropic stress $pi^{ij}$ that dissipates energy through turbulent processes. Part of this dissipated energy is converted into the isotropic residual component, contributing locally to the cosmological residual density, while another fraction accelerates electrons to relativistic energies via second-order Fermi processes, powering the observed synchrotron emission that forms the bright radio ring. Order-of-magnitude calculations using realistic astrophysical parameters demonstrate that modest conversion efficiencies are sufficient to sustain the observed radio luminosities ($10^{40}$--$10^{42}$ erg s$^{-1}$) and provide a concrete channel for the general production term $beta_{m prod}(z)$ introduced in Paper IV. ORCs thus function as natural, accessible laboratories where the transition from anisotropic stress to isotropic residual can be directly studied. This interpretation unifies phenomena across vastly different scales — from late-time cosmic acceleration and emergent dark matter (Papers I and II) to strong-field jet launching (Paper III) and continuous residual production (Paper IV) — within a single effective medium. It makes clear, falsifiable predictions regarding polarization morphology, correlations with star formation history, and possible weak lensing shear excesses, offering a promising avenue for future multi-wavelength tests with ngEHT, Euclid, and the Roman Space Telescope.
Category: Astrophysics

The Fact Of Fractal Tennis: The Universe As A Fractal Computer Defined by the Star=Electron+Atom=Galaxy Quine

Authors: Steven E. Elliott
Comments: 77 Pages. V4 adds string-theory extremal black hole cross-check and 50+ resolved tensions

We propose a new principle of physics—MATHICCS—requiring that every mathematical axiom used in a physical law must correspond to an operation persistently realizable by a physical subsystem. Applying this criterion motivates reality's geometry as a discrete, self-similar, singularity-free structure: the Apollonian–Soddy Sphere Packing (ASSP).We conjecture that 3D dynamics on this packing is a self-computing fractal: a dynamical computer whose registers are fractal-congruent objects that process angular and linear momentum as cross-scale registers. This fractal quine is proposed as a self-consistent, MATHICCS-valid physical theory.It gives zero-free-parameter derivations of the baseline fine-structure constant α⁻¹_TFOFT = 4π³ + π² + π = 137.036, the electron–star logarithmic mass hierarchy, the electron mass, the proton mass, the proton/electron mass ratio, the 77-layer self-encoding register, the hydrogen binding energy, the hydrogen spectral ladder, and the gravitational constant G from atomic structure by two independent first-principles routes.We present empirical cross-checks involving the observed electron–star hierarchy, dark/visible channel fractions 23/27 and 4/27, Fermi-bubble morphology, the 25-arcminute CMB seam, and the near-match between Karlsson quasar logarithmic periodicity and the derived Info-channel leakage. The Karlsson complement also gives a 77-layer mass-channel spot check inside the same 137–139 register interval.We present one pending falsifiable prediction, α⁻¹_Yb = 137.035998945 ± 0.000000045. The framework is presented as a nearly zero free-parameter ontology whose derived consequences are compared against major tensions in observational physics.
Category: Quantum Gravity and String Theory

The Fact Of Fractal Tennis: The Universe As A Fractal Computer Defined by the Star=Electron+Atom=Galaxy Quine

Authors: Steven E. Elliott
Comments: 53 Pages. V3 fixes Yb calc and completes parameter-freeness with electron mass derivation

We propose a new principle of physics - MATHICCS - requiring that every mathematical axiom used in a physical law must correspond to an operation persistently realizable by a physical subsystem. Applying this criterion motivates reality's geometry as a discrete, self-similar, singularity-free structure: the Apollonian-Soddy Sphere Packing (ASSP). We conjecture that 3D dynamics on this packing is a self-computing fractal: a dynamical computer whose registers are fractal-congruent objects that store angular and linear momentum as cross-scale registers. This fractal quine is proposed as a self-describing, MATHICCS-valid physical theory. It gives zero-free-parameter derivations of the fine-structure constant α^-1_TFOFT = 4π³ + π² + π = 137.036, the two-ball quine depth T_two-ball = 138.955, the electron-star logarithmic mass hierarchy ln(M_sun/m_e) = 138.936, the 77-layer self-encoding register, the hydrogen binding energy E_H = α²m_ec²/2 = 13.606 eV, the hydrogen 1/n² spectral ladder, the electron mass, the proton mass, the proton/electron mass ratio, and the gravitational constant G from atomic structure by two independent first-principles routes. We present empirical cross-checks involving the 25-arcminute CMB seam, the observed electron/star hierarchy, dark/visible channel fractions 23/27 and 4/27, Fermi-bubble morphology, and the near-match between Karlsson quasar logarithmic periodicity and the derived Info-channel leakage; the Karlsson complement also gives a 77-layer mass-channel spot check inside the same 137-139 register interval. We present one pending falsifiable prediction, α^-1_Yb = 137.035998945 ± 0.000000045. The framework is presented as a zero-free-parameter ontology whose derived consequences are compared against major tensions in observational physics.
Category: Quantum Gravity and String Theory

The Fact Of Fractal Tennis: The Universe As A Fractal Computer Defined by the Star=Electron+Atom=Galaxy Quine

Authors: Steven E. Elliott
Comments: 45 Pages. Added better Citations and clarified crackpot-sounding sections.

We propose a new principle of physics—MATHICCS—requiring that every mathematical axiom used in a physical law must correspond to an operation persistently realizable by a physical subsystem. Applying this criterion motivates reality’s geometry as a discrete, self-similar, singularity-free structure: the Apollonian Soddy Sphere Packing (ASSP). We conjecture that 3D dynamics on this packing is a self-computing fractal: a dynamical computer whose registers are fractal-congruent objects that store angular and linear momentum as cross-scale registers. This fractal quine is proposed as a self-describing, MATHICCS-valid physical theory: it derives the fine-structure constant α^−1_TFOFT = 4π^3 + π^2 + π = 137.036 from the minimal Presburger computational cost of a Soddy sphere state update, derives the 77-layer star-electron hierarchy from the rank-23 half-boundary mass register, derives the hydrogen binding energy from the Gyro Ball IO equation E = α^2 m_e c^2 / 2, and derives the gravitational constant G from atomic structure by two independent first-principles routes. We present empirical cross-checks involving the 25-arcminute CMB seam, the observed electron/star hierarchy, and the near-match between Karlsson quasar logarithmic periodicity and the derived Info-channel leakage; the Karlsson complement also gives a 77-layer mass-channel spot check inside the same 137—139 register interval. We present one pending falsifiable prediction, α^−1_Yb = 137.035998945 ± 20 ppb. The framework is presented as a zero-free-parameter ontology whose derived consequences are compared against major tensions in observational physics.
Category: Quantum Gravity and String Theory

Tetrahedral Disclination Origin of the Fermion Mass Hierarchy and the Koide Identity

Authors: Andrew Ebanks
Comments: 11 Pages.

The Koide formula (Q = 2/3) has resisted derivation from first principles since its discovery in1981. We show that within the Fibonacci-Tetrahedral Lattice (FTL) framework, the Koide constant2/3 is a geometric identity of the fundamental tetrahedral node angle: −2 cos(109.471◦) = 2/3. Weestablish a universal selection rule (m ∝ ϕn) that identifies particle "flavor" as a structural addressin the vacuum lattice. We present a unified Universal Structural Address Table that maps theentire known fermion spectrum—covering 12 orders of magnitude from the top quark to the lightestneutrino—using only the Fibonacci factor ϕ and the Aristotle frustration ratio R. The chargedleptons are identified as orientational modes of a tetrahedral disclination, while the neutrino massesare derived as recursive lattice harmonics (m3 ≈ 0.047 eV). We predict a stable fourth lepton atm4 = 1205.2 MeV and provide a mechanical origin for quark confinement. These results suggestthat the matter spectrum is not a collection of arbitrary parameters but a high-precision geometricprojection of the vacuum’s discrete tetrahedral topology.
Category: High Energy Particle Physics

Proof of the Collatz Function Through Identity Reduction, Catalans Conjecture, and Implementation of Infinite Expansion

Authors: Liam Isaac
Comments: 6 Pages, Mihăilescu, Preda (2004). "Primary Cyclotomic Units and a Proof of Catalan's Conjecture". Journal für die reine und angewandte Mathematik (Crelle's Journal). 2004 (572): 167—195., Creative Commons Attribution 4.0 International License (CC-BY 4.0)

The Collatz function is one of the simplest difficult problems in modern mathematics. For any positive integer, multiply any odd integer by 3 and add 1, while any even integer is divided by 2. Take the result and re-insert it into the function. Every integer will eventually fall to 1, and begin a loop of the sequence 1-4-2-1. Will this function produce another loop at some point? Will the jumps (3n+1) overtake the drops (/2) and climb to infinity? Through a nested fractal implementation as well as the reduction principle set in Catalan's Conjecture, it is shown that both of these questions are topologically impossible within the system.
Category: Number Theory

Arithmetic Representation of L'(x)

Authors: Yufei Liu
Comments: 3 Pages.

We derive an explicit arithmetic formula for L'(x)=∑_ρ (1/ρ) e^{-x/ρ}, where ρ runs over non-trivial zeros of the Riemann zeta function ζ(s) in the symmetric pairing. Using the Mellin form of the Guinand--Weil explicit formula, we prove L'(x) = e^{-x} - ∑_{n=2}^∞ (Λ(n)/n) J_0(2√(x log n)) + (1/(2π)) ∫_{-∞}^∞ (e^{-x/(1/2+it)}/(1/2+it)) (Γ'/Γ)(1/4+it/2) dt. This representation establishes a functional link between the prime distribution and the zeta zeros through a Bessel kernel, providing a framework to analyze the positivity of L'(x).
Category: Number Theory

A Counterexample to the Universality of Cantor's Diagonal Argument Within Actual Infinity

Authors: Kesan Yi
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references!)

This paper re-examines the logical foundations of Cantor's diagonal argument. By constructing a countable set S that includes a transfinite limit element under the framework of actual infinity, we demonstrate a paradox: a strictly defined sequential ordering leads the diagonal argument to classify a countable set as uncountable. This paper argues that Cantor's proof relies on two critical implicit assumptions: the completed totality of natural numbers and the presumed invariance of the result across all possible permutations. We conclude that the diagonal argument may reflect the limitations of finite indexing rather than the intrinsic cardinality of the set.
Category: General Mathematics

Geometric Signatures of a Discrete Vacuum Lattice in ALICE Heavy-Ion Collisions

Authors: Andrew Ebanks
Comments: 6 Pages. Maths and figures and sections updated.

Observations of the nuclear modification factor (RAA) in central Pb—Pb collisions at √sN N = 2.76, 5.02, and 5.36 TeV exhibit a persistent, energy-independent suppression floor at RAA ≈ 0.15. We demonstrate that this stability matches a parameter-free geometric transparency prediction (Φ = 0.145) derived from a discrete Fibonacci-Tetrahedral Lattice (FTL) model. Furthermore, two-particle azimuthal correlations reveal a universal angular excess at 1.91 radians (109.47◦), corresponding to the tetrahedral vertex angle arccos(−1/3). We show that this signal remains rigidlypinned across collision species and energies, mirroring the strain broadening (Phason Jitter) observed in terrestrial tetrahedral networks such as vitreous silica. This suggests that the observedcollective flow signatures arise from the discrete geometry of the vacuum lattice rather than chaotic fluid dynamics. We propose a definitive test of this hypothesis through the prediction of a quantized phase transition at √sN N ≈ 8.67 TeV, where the RAA floor is expected to shift to ≈ 0.24.
Category: High Energy Particle Physics