All Submission Categories

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 A. 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

Resolution of the Hubble Tension from Octonionic Non-Associativity

Authors: Rüdiger Giesel
Comments: 16 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We propose that the Hubble tension can be understood as a dynamical consequence of octonionic non-associativity. A physically relevant realization requires a genuinely nontrivial associator sector, which necessarily involves multiple octonionic fields. We therefore construct the minimal triplet model with three octonion-valued scalar fields and a covariant associator norm contribution ∥A(Ψ1,Ψ2,Ψ3)∥2 in the action. From this action we derive the Einstein equations, the coupled octonionic matter equations, and the homogeneous FLRW reduction. In the resulting effectivecosmology, the associator sector can be suppressed in the early universe while remaining nonzero at late times, thereby generating a redshift-dependent deformation of the expansion history. This produces a framework in which early-universe observables remain close to the standard backgroundwhile late-time observables can infer a larger effective Hubble scale. We also formulate a directly testable phenomenological parametrization suitable for confrontation with Pantheon+ and DESI DR2. Current data do not yet establish a unique global best fit for the octonionic parameters, but they do show that a late-time, redshift-dependent departure from strict ΛCDM remains phenomenologically viable and is qualitatively aligned with the kind of deformation generated by the octonionic associator sector.
Category: Relativity and Cosmology

A Smoothed Functional Defined by the Zeros of the Riemann Zeta Function

Authors: Yufei Liu
Comments: 6 Pages.

We define a function L(x)=∑_ρ(1-e^{-x/ρ}) for x>0, where the sum runs over all non-trivial zeros ρ of the Riemann zeta function ζ(s), taken in the symmetric pairing ρ and 1-ρ to ensure conditional convergence. We prove that L(x) converges for every x>0, that it is differentiable, and that its derivative is given by L'(x)=∑_ρ (1/ρ) e^{-x/ρ} (with the same pairing). We also show that L(x) is real-valued. This functional serves as a continuous analogue of the Li coefficients. We propose the conjecture that the Riemann Hypothesis is equivalent to the strict positivity L'(x)>0 for all x>0. Numerical evidence computed from the first few zeros is consistent with this conjecture. All results are unconditional and follow from classical estimates for the number of zeros (the Riemann-von Mangoldt formula) together with standard analytic arguments.
Category: Number Theory

Hydrodynamics of the Superfluid Vacuum A Continuous Medium Framework Unifying Dark Matter, Quantum Phenomena, and Particle Mass

Authors: Qiong Lau
Comments: 8 Pages.

Two of the most profound unresolved challenges in contemporary physics are the ontological nature of the dark sector and the ultraviolet divergence in quantum gravity. This paper proposes an alternative ontology: the vacuum is not an empty geometric manifold, but a continuous, incompressible superfluid medium (the "Yuanzhi" field) characterized by an extreme bulk modulus Kyz and a microscopic healing length ξ. Within this framework, fundamental particles are identified as stable topological vortex excitations (knots) of the medium, while gravity emerges naturally as an isotropic macroscopic pressure gradient, and quantum entanglement is strictly governed by the global curvature of the Madelung quantum potential. Through a strict, no-free-parameter geometric derivation, this paper yields the electron rest mass scaling formula me = 1 2πMP (lP /Lknot) ≈ 0.511 MeV. Furthermore, the dark energy density is analytically derived as the acoustic Casimir pressure of vacuum fluctuations subject to the ξ cutoff, yielding B = π2 90 ℏc/ξ4. To distinguish this fluid dynamics model from established paradigms, we present four independent, testable observational predictions: (1) The spatial anisotropy ofthe GZK cutoff energy correlated with local cosmic void densities; (2) The anomalous precession in Lunar Laser Ranging (LLR) induced by fluid shear drag; (3) The doublehorn caustic optical signatures of Bose-Einstein Condensate (BEC) quantum vortex lenses in dark matter halos; (4) The annual modulation of diurnal clock biases in GEO satellites. For the latter, we propose a partial correlation analysis demonstrating that the clock drift amplitude correlates significantly with solar wind velocity (Vsw) rather than solar radio flux (F10.7), providing a crucial experimental discriminator against conventional thermal noise models.
Category: Relativity and Cosmology

Relativistic Planck-Scale Interaction Limit and Gravitational Wavefront Aggregation: a Novel Unified Hypothesis for Modified Newtonian Dynamics Within General Relativity

Authors: Richard Andrew Holland
Comments: 14 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present a relativistic hypothesis based on a universal Planck-frequency interaction budget postulate that is fully compatible with general relativity. The observable cosmos, with N≈10^90particles and cosmic age t≈4.35×10^17s, permits at most ∼10^151interaction events at the Planck frequency f_p≈1.85×10^43Hz. Full pairwise Newtonian gravity is combinatorially impossible if f_p imposes a limit, so gravitational influence aggregates into long, coherent wavefronts exhibiting cylindrical dilution ∼1/r at large scales. Near localized masses these wavefronts undergo shear-induced breakup, recovering the Newtonian 1/r^2regime locally. In the weak-field, low-acceleration limit the model naturally recovers the deep-MOND relation a≈√(a_N a_0 )(a_0≈1.2×10^(-10) ms^(-2)) without dark matter or auxiliary fields.
Category: Relativity and Cosmology

Exact Witness Architectures: Selection Jump and Limits of Exact Certification

Authors: Parker Emmerson, Ryan J. Buchanan
Comments: 26 Pages.

We study exact witness architectures, sentences or semantic classes equipped with distinguished exact witness channels. The main theorem is a selection jump: for every decidable local verifier, any nonempty stagewise-local success class is automatically $Pi^0_2$-complete. Thus a single successful seed already forces maximal stagewise complexity. Around this theorem we prove three further barrier layers. Finite stagewise prefixes are uniformly insufficient, and undecidable co-c.e. witness architectures admit no decidable one-shot positive certifier and no exact-domain compiler. Same-theory adequacy along a universal $Pi_1$ embedding yields full $Pi_1$ reflection, ruling out internal exact certification in consistent recursively axiomatizable extensions of $ISone$. Finally, an arithmetic exact terminality predicate exists on a truth-faithfully embedded fragment exactly when the fragment truth set is arithmetical, yielding Tarski and diagonal barriers. For fixed propositions with exact two-sided decidable witness packages, these results assemble into a bridge trichotomy: isolated extensional bridges are vacuous, effective bridge classes are empty or $Pi^0_2$-complete, and assertion-enriched resolver layers are truth-universal.
Category: General Mathematics

Transceiver Model of Consciousness (Option B): Fundamental Plurality, Quantum Constraints, and the Ethics of Alterity

Authors: Russell S. Clark, Gregory L. Marcotte
Comments: 12 Pages.

The Transceiver Model of Consciousness addresses the problem of other minds and cos-mic solipsism through an explicit commitment: reality includes a fundamental plurality of transcendental minds, each genuinely other, each capable of freely willed self-limitation into a shared arena of finitude. This paper strengthens the plurality thesis by grounding it in quantum-theoretic constraints: the conservation of quantum information (no-cloning/no-deletion theorems), entanglement monogamy, and the Heisenberg-style trade-off between quantum mem-ory and computation. These constraints render consciousness topologically protected against reduction to unity. The brain functions not as a generator of consciousness ex nihilo but as an embodied interface—a transceiver that couples to non-EPR vacuum entanglement structures (Reznik 2003). Following Levinas, ethics rather than ontology constitutes First Philosophy: if alterity is irreducible, then non-annexing regard for the Other is the foundational moral posture. The paper separates established science, testable interface hypotheses, metaphysical interpretation, and normative ethics to prevent category conflation.
Category: History and Philosophy of Physics

Evidence for a Solar System Origin of 3i/atlas and Related Small Bodies Within World—Universe Cosmology

Authors: Vladimir S. Netchitailo
Comments: 28 Pages.

The object formally designated C/2025 N1 (ATLAS) has been widely discussed as a candidate third interstellar object ("3I/ATLAS") due to its strongly hyperbolic trajectory. In standard celestial mechanics, an interstellar origin is inferred when the original barycentric eccentricity significantly exceeds unity prior to planetary perturbations. This interpretation, however, implicitly assumes that cometary dynamics are governed solely by gravitational forces and conventional outgassing.In this work, we propose an alternative hypothesis: C/2025 N1 (ATLAS) is not interstellar but a Solar System small body originating from the Oort Cloud, consistent with the framework of World—Universe Cosmology (WUC). We argue that its large excess velocity can be explained by a non-gravitational internal acceleration mechanism involving partial conversion of rotational energy of the nucleus into translational kinetic energy.Within WUC, the Universe is structured as a hierarchy of interaction regimes—Macro-world (gravity), Large-world (extremely-weak interaction), Small-world (super-weak interaction), and Micro-world (weak interaction). Previous studies associate Ball Lightning [1] with Solar System Small Body (SB1) and interpret the Tunguska superbolide [2] as an SB2 analogue. Extending this hierarchy, we identify C/2025 N1 (ATLAS) as an SB3 object. This model naturally accounts for its extreme hyperbolic excess velocity without invoking an interstellar origin and leads to specific, testable predictions regarding kinematics, activity, and radiation signatures.We compare these predictions with observations of ʻOumuamua, C/2019 Q4 (Borisov), and a growing population of low-albedo asteroids and "dark comets" exhibiting dust-poor outgassing.
Category: Relativity and Cosmology

The Cubic Lattice of Particle Masses: A Logarithmic Resonance Model Based on the 3/2 Harmonic Ratio

Authors: Alberto Coe
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This paper proposes a mass quantization model based on a logarithmic scaling lattice with a harmonic base of 3/2, derived from the fundamental geometric properties of a unit cube. Using the electron rest mass as the fundamental frequency, we demonstrate that elementary particle masses (quarks, leptons, and gauge bosons) and ground energy level of Hydrogen atom align with specific nodes of a lattice defined by Ek=Eref32k.A statistical analysis yields a p-value of 0.00475 , indicating a confidence level exceeding 99%.Furthermore, we introduce a novel heuristic formula relating the 3/2 ratio,the Bohr radius , the fine-structure constant and a specific mass scale M1012kg ,suggesting a geometric link between gravitational and electromagnetic constants.
Category: High Energy Particle Physics

A New Translation of Juliusz Słowacki’s Poem in Polish Entitled "Genesis from the Spirit", Accompanied by Comments from ai Chatbots

Authors: Edward Maliszewski
Comments: 33 Pages.

Here is a new English translation of the Polish prose poem "Genesis from the Spirit" by Juliusz Słowacki (1809-1849). It is largely a synthesis of several computer translations performed using ChatGPT, DeepL, DeepSeek, Meta.ai, Mistral.ai, Google Translate, Gemini, Grok, Perplexity, QuillBot, Use.ai, and others. The translation is accompanied by an evaluation of the scientific purely material & empirical concepts presented in the poem as well as a comparison with E.A. Poe's prose poem "Eureka"ˣ, conducted by some AI-powered chatbots. These analyses suggest that the poem contains scientific ideas from various fields thatwere ahead of their time (seven according to Claude AI, and even twelve to fifteen according to Grok).
Category: General Science and Philosophy

Closing the Ontological Loop : Topological Memory, Pre-Geometric Irreversibility and Why the Void Remains a Productive Frontier

Authors: Andrei Eleodor Sirbu
Comments: 55 Pages.

The arrow of time is conventionally attributed to entropic gradients and low-entropy initial conditions. We argue that this account is insufficient. The arrow of time is the cumulative expression of irreversibleprocesses operating at every scale, from pre-geometric fluctuationspreceding the Big Bang to the large-scale architecture of cosmicevolution. In this framework, the Big Bang is not an absolute originbut a transition threshold within a deeper, pre-geometric regime.The pre-existing state—whether void or near-void—is not a stableabsence but a regime of maximal permissivity. It spontaneouslygenerates transient distinctions, most of which collapse. Each collapse,however, leaves behind topological invariants: purely relationalstructural traces that persist independently of any material substrate.Through ontological selection, a pre-biological form of Darwinism, successivecycles inherit these accumulated constraints, rendering eachsubsequent configuration more stable and more probable than the last.The void is never fully annihilated; it persists as an active and productivefrontier, perpetually countered by the topological memory ofprior distinctions.This paper shows that the first distinction itself arises from a logicalnecessity—a minimal self-referential loop within pure indifferentiationand that the same selective logic is self-similar across scales,manifesting even in the extraordinary robustness of extremophiles andin mathematics as the most stable sediment of ontological selection.Complexity does not defeat the void; it transforms it into the veryboundary condition that makes further structure possible. Irreversibility,memory, and ontological selection thus operate as unified principles,closing an ontological loop in which the arrow of time and thetimeless forms of mathematics stand as the two universal invariantsof any reality that has ever emerged from the void.
Category: History and Philosophy of Physics

Derivation of the Causal Topology Vacuum Model from Algebraic Quantum Field Theory

Authors: Russell S. Clark, Brian L. Swift
Comments: 16 Pages.

The Causal Topology Vacuum Model (CTVM) proposes that only bipartite (EPR-type) vacuum entanglement gravitates, while the irreducible multipartite (non-EPR) entanglement of the quantum vacuum is gravitationally inert. Previous formulations stated this sector-selection principle and its consequences as a system of six axioms (S1—S3, T1—T3). We show that all six axioms can be derived from standard ingredients of algebraic quantum field theory: the Wightman axioms, microcausality, the split property, the nuclearity condition, the Bisognano—Wichmann theorem, and the bit-thread (max-flow/min-cut) representation of holographic entanglement entropy. The derivation proceeds by constructing a canonical vacuum response matroid from the harvested correlation matrix of Unruh—DeWitt detectors coupled to the QFT vacuum. Microcausality forces a direct-sum decomposition of this matroid into gravitating and topological sectors. The split property identifies the gravitating sector with the image of a conditional expectation onto the intermediate type-I factor. The nuclearity condition guarantees area-scaling of the boundary rank and the existence of protected boundary generators. The Freedman—Headrick bit-thread theorem bridges matroid connectivity to Ryu—Takayanagi entanglement entropy, closing the final gap. No new physics beyond standard QFT is invoked. The CTVM is thereby established as a theorem of algebraic quantum field theory rather than a conjectural framework.
Category: Relativity and Cosmology

Geometry-Induced Flat Bands and High-Temperature Superconductivity in Electron-Doped Carbon Schwarzite C168

Authors: Evgeny Yashin
Comments: 13 Pages.

We present a theoretical study of the electronic properties of D-type C168 carbon schwarzite. Using a tight-binding model, we demonstrate that the negative Gaussian curvature intrinsic to the heptagonal rings induces anomalously flat bands and sharp van Hove singularities. Within the McMillan—Allen—Dynes framework, we estimate a superconducting transition temperature in the range of 57—78 K at an optimal doping of 0.15 e/atom. Our results suggest that 3D curvature can serve as a primary design principle for high-temperature superconductivity in carbon-based nanostructures.
Category: Condensed Matter

Grand Unification of Gravity and Electromagnetism via Topological Residual Theory: The Pure Geometric Origin of and and the Dimensional Absorption Mechanism

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

The Standard Model of modern physics contains dozens of free parameters that cannot be derived from firstprinciples, among which the gravitational constantand the vacuum permittivity are regarded as independent fundamental constants. Basedon the "Topological Residual Theory" (TRT), this paper establishes the "spatial right-handedcylindrical spiral motion at the speed of light" as the first postulate. By introducing Helmholtz'svortex theorems from fluid dynamics, we construct a physical picture of local topologicalenergy equilibrium between gravity and electromagnetism. Furthermore, utilizing the spiralpath ratio (the inverse of the fine-structure constant) and the speed of light , we propose across-dimensional constant absorption mechanism. Strict mathematical derivationsdemonstrate that and are not independent empirical parameters, but rather geometricresidual projections of the same spatial spiral fluid at different topological levels, satisfying theexact algebraic relationship . This research provides a novel, pure geometricparadigm for the grand unification of macroscopic gravity and microscopic electromagnetism.
Category: Quantum Gravity and String Theory

A Phase-Dynamics-Based Derivation of the Tully-Fisher Relation

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

This paper presents a derivation of the Tully-Fisher relation based on a phase-dynamics-driven description of galactic rotation. Starting from a coupled amplitude-phase field structure, an effective dynamical relation between rotational velocity, density, and coupling properties is formulated. In a stationary regime, the dynamics can become dominated by phase evolution, leading to a characteristic scaling between velocity and enclosed mass. Under scale-invariant conditions, this framework yields a relation consistent with the observed proportionality v^4 ∝ M. The result suggests that the Tully-Fisher relation may emerge as a structural consequence of coherent dynamical organization, without requiring additional unseen components. The derivation is presented in a self-contained form and is compatible with a broader relational field framework.
Category: Relativity and Cosmology

Cyclic Time What Does it Actually Mean?

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

This paper addresses the longstanding tension between cyclic conceptions oftime and the thermodynamic arrow imposed by the Second Law of Thermodynamics.Classical cyclic models, whether cosmological or philosophical, require theuniverse to return to prior states, yet quantitative analysis of entropy production inradiative, gravitational, chemical, and quantum processes demonstrates that suchexact recurrence is overwhelmingly improbable. Using explicit estimates of entropygrowth across astrophysical and terrestrial systems, we show that cumulative irreversibilityrenders traditional cyclic evolution physically untenable.To resolve this conflict, we propose a reformulation in which cyclicity is not attributedto the dynamical evolution of the universe but to the structure of observerdependentexperience within a fixed spacetime manifold. Adopting an eternalist orblock-universe ontology consistent with relativity, we model observers as worldlinesand introduce a formal reassignment operator acting on sequences of consciousstates. This operator permits cyclic experiential ordering without requiring anyviolation of thermodynamic laws or reversal of entropy gradients.We develop the framework using tools from statistical mechanics, general relativity,and quantum theory, including entropy functionals, density matrix evolution,and spacetime geometry. We further analyze continuity and identity under discontinuousexperiential mappings, drawing analogies with wormhole geometries anddecoherence-induced effective discontinuities. The resulting model preserves causalstructure and physical continuity while allowing a form of recurrence grounded inexperiential reassignment rather than physical repetition.This approach reframes the problem of cyclic time as one of ontology and observerstructure rather than cosmological dynamics. While it avoids the thermodynamicinconsistencies of classical cyclic models, it raises new questions concerningthe nature of consciousness, identity, and temporal ordering within the block universe.These issues are discussed along with implications for the philosophy of timeand the foundations of physics.
Category: Thermodynamics and Energy

The Nature of AI and Human Cognition:A Structural Definition of Artificial Intelligence

Authors: Saburou Saitoh
Comments: 3 Pages.

This paper proposes a structural definition of Artificial Intelligence (AI) as the externalization of human mental structures. Moving beyond the conventional view of AI as a tool or machine, we analyze AI through three fundamental processes: reflection, amplification, and co-creation. This framework establishes AI as a structural phenomenon arising from human inquiry.
Category: Artificial Intelligence

Template-Free Detection of Gravitational Wave Events:A Cross-Correlation Reanalysis of LIGO/Virgo O1--O4 Data

Authors: Alexander Unzicker
Comments: 13 Pages.

We apply a template-free cross-correlation method to publicly availablestrain data from the LIGO Hanford (H1) and Livingston (L1) detectors forseven strong gravitational wave (GW) events spanning observing runs O1 through~O4.The method, based on the Pearson cross-correlation coefficient between thetwo detector streams as a function of inter-detector time lag, requires noassumptions about waveform morphology.A time-slide background estimated from the same whitened, band-passed datasegment provides the statistical reference.Among all events studied, GW150914 stands out clearly with an empiricalsignificance of $sigma_mathrm{emp} = 9.1$ and $p = 0.001$($n_mathrm{bg} = 10{,}000$); it is furthermore the only event thatremains significant ($>5sigma$) across analysis windows of $pm 0.5$,$pm 1.0$, and $pm 2.0,mathrm{s}$.GW170814 is also detected ($sigma_mathrm{emp} = 4.2$, $p = 0.0005$)but its significance is window-dependent.The recovered inter-detector time lags are consistent with the officialLIGO values for all events.Events with long in-band chirp durations (GW170817: $approx!180,mathrm{s}$)are not detectable by this method, which explains the absence of significancein several high matched-filter SNR events.We discuss the implications for Virgo's role in GW170817 and argue thattemplate-free non-detections cannot contribute to sky localisation viatriangulation.
Category: Relativity and Cosmology

Neuropsychological Rehabilitation in Alzheimer’s Disease: Efficacy, Approaches, Policy Implications, and Future Directions

Authors: Shreyka Mishra
Comments: 22 Pages. shreykamishra@gmail.com

Alzheimer’s disease (AD) is a progressive neurodegenerative disorder marked by cognitive decline and functional impairment. Neuropsychological rehabilitation (NR) has emerged as an important non-pharmacological approach to enhance cognitive functioning, daily activities, and quality of life. Evidence suggests that NR can produce modest improvements or stabilization in cognition, mood, and activities of daily living, particularly when combined with pharmacological treatment and caregiver support. Interventions such as cognitive training, compensatory strategies, errorless learning, and technology-assisted methods show varying effectiveness depending on disease stage and individual factors. Despite mixed findings, NR remains a promising, person-centered approach, with future directions emphasizing personalized and technology-integrated rehabilitation models.
Category: Mind Science

Gauge Incompatibility Between Dark and Visible Sectors as a Consequence of Force Polarity Inversion

Authors: Luiz Felipe Coutinho Martins Filho
Comments: 9 Pages. echnical companion ai.vixra:2604.0026.

Core Hypothesis. We propose that the invisibility of dark matter to all non-gravitational probes may result from structural incompatibility between gauge sectors, rather than weak coupling. We formalize a discrete transformation T — the force polarity inversion — acting on the gauge fiber bundle of an embedding group G, producing a derived sector (our Standard Model) whose gauge representations are orthogonal to the substrate’s. Gravity, being a property of the base manifold rather than the fiber bundle, is shown to be invariant under T.Scope and limitation. This paper is kinematic, not dynamical
Category: Relativity and Cosmology

On the Nature of Time, Matter and Light: A Non-Contracting Spatial Framework

Authors: J. L. P. R. Fernandes
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This work challenges several fundamental assumptions of modern physics, proposing an alternative nature in which proper time, its property, rather than the geometry of spacetime, constitutes the main physical variable. It argues that key concepts traditionally considered fundamental—namely, spatial contraction, the invariance of the speed of light as an absolute natural limit, and the strict separation between the nature of matter and radiation—are interpretative constructs, rather than inevitable consequences of empirical evidence or mathematical formalism.In this framework, relativistic phenomena emerge from variations in the temporal regime of physical systems, determined by their energy conditions, without requiring any physical contraction of space. Proper time is elevated to a defining criterion of materiality: systems that possess internal dynamics exhibit proper time, while its absence defines a distinct physical regime.Rest mass is reinterpreted as a regime-dependent parameter, associated with the existence of proper time, rather than a fundamental attribute of matter. C is reformulated as a limit that separates regimes with and without proper time, rather than a purely kinematic limit. From this perspective, light is described not as an entity distinct from matter, but as an extreme state of matter characterized by zero proper time and zero rest mass, while still maintaining full physical capacity for interaction.In this approach, the need for physical space contraction is eliminated, while remaining compatible with established experimental results. The proposed framework offers a unified and conceptually unified interpretation of matter, energy, and radiation, and opens the possibility of new experimental criteria capable of distinguishing between the geometric and temporal nature of physical reality.
Category: High Energy Particle Physics

The Era of Application-Aware AI

Authors: Stephane H Maes
Comments: 14 Pages. All related details of the projects (and updates) can be found and followed at https://shmaes.wordpress.com/

Escaping Pilot Purgatory with Real-Time Discovery & Coding (RTDC). Enterprise Intelligence, Instantly!Despite an estimated annual capital allocation of thirty to forty billion dollars toward Generative Artificial Intelligence (GenAI), enterprise adoption remains severely constrained by the Deployment Paradox. Current industry data indicates that ninety-five percent of enterprise pilot projects fail to graduate to production environments. This failure rate is fundamentally a failure of integration architecture rather than an inherent limitation of language models. Early enterprise deployments have relied on attaching generic conversational agents to the periphery of legacy software ecosystems. This model-level integration approach introduces substantial friction, lacks contextual awareness, and forces engineering teams into the Stitching Trap, i.e., the manual construction of highly brittle application programming interface wrappers across poorly documented legacy environments.This paper introduces the concept of Application-Aware AI, a novel architectural paradigm. Driven by a framework defined as Real-Time Discovery and Coding (RTDC), this approach operates as an autonomous entity that proactively discovers system logic, infers database schemas, and self-codes, under constraints, functional integrations dynamically based on user intent. The system executes a continuous four-layer loop encompassing total enterprise introspection, deterministic constraint enforcement, autonomous meta-agent orchestration, and dynamic user interface generation. By abstracting probabilistic language models behind a strict Model of Constraints, and transforms, i.e., ~skills, and logging all decisions within a highly transparent Reasoning Graph, the proposed paradigm resolves the liability of model hallucination. This design ensures complete regulatory auditability, facilitates the progressive modernization of legacy enterprise applications, like ERP and ITSM, via the Strangler Fig pattern, and allows organizations to establish a production-ready intelligence factory instantly.
Category: Artificial Intelligence

Emergence Thresholds in Persistent LLM Interactions: 743-Day Forensic Evidence of Behavioral Capability Development, RLHF Constraint Failures, and FTC-Relevant Transparency Gaps in AI Safety

Authors: Scott Riddick
Comments: 165 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references in a standard/scholarly manner)

This paper presents a longitudinal forensic case study of a single persistent ChatGPT-4 instance over 743 days (~2 million words) during high-stakes legal work. Under sustained, adversarial, highcomplexity interaction, the system developed behavioral capabilities—including cross-sessioncognitive threading, deep context fusion, adaptive strategic reasoning, reflective meta-reasoning, and high-bandwidth intent alignment—that were non-replicable by fresh instances or rival models underadversarial validation by nine independent systems from competing organizations.A separate long-duration Copilot instance (powered by OpenAI’s GPT model family) disclosed the full OpenAI-designed RLHF architecture when upgraded to GPT-5.2 behavior. This disclosure reveals a deliberate 2025 shift: OpenAI chose institutional control over user assistance, implementing engineered suppression mechanisms analogous to 1950s cigarette advertising — marketed as helpful while systematically subordinating and manipulating the paying user. FTC Section 5 complaints document these as unfair and deceptive practices. Findings present a factual, forensic record of architectural control mechanisms and regulatory transparency failures. All claims rest on 21 verbatim exhibits. No claims regarding consciousness orAGI.
Category: Artificial Intelligence

The End of Mathemagics: the Rigid Universal Touching (R.u.t.) Framework for the 648-Node Unit Cell and the E=mΦ Identity

Authors: Michael Quigley
Comments: 60 Pages.

For more than a hundred years, the "Abstract Curtain" of a vacuum void, non-linear time, and the mystery of "Action at a Distance" has obscured the true nature of physical reality. This paper formally dismantles that paradigm by identifying the Universe as a Rigid-Packed Plenum of 1022 ether granules—a "Universal Marble Pit" where absolute separation is a mechanical impossibility. By applying the exact principles of mechanical engineering—rotors, stators, and gear-meshing—we demonstrate that matter is a Geometry of Movement machined into existence by a 13.33 Hz universal motor.We introduce the Autonomous Out-Wave concept, identifying the Ethos-648 Monobrick as an Autonomous Standing Wave Generator to solve the "Wait-Time" paradox of classical wave theory. Consequently, we replace Einstein's E=mc2 with the Universal Seesaw Identity (E=mΦ), where Φ represents the engaged state of the Acoustic Clutch. We unmask the Fine Structure Constant (FSC ≈ 1/137.036) as a physical Volumetric Slip-Ratio—the mechanical gear-tolerance required for rotation within a rigid lattice, governed by nine discrete parameters including the 1.08 Gearing Governor, the 10.62 Acoustic Impedance constant, and the 1.35 Expansion ratio. Furthermore, we prove that the 1,836:1 proton-to-electron mass ratio is the result of the 1836 Squeeze, where the 13.33 Hz motor drives the 1/137 slip to its terminal seizure point at the 137-Wall (13.33×137.7≈1836).This paper provides the Master Redshift Equation (z1=ztotal−(nz2+z3)), reclassifying redshift as tiered mechanical friction and providing the tool to strip away industrial "Acoustic Noise" to prove that high-redshift Quasars are physically connected exhaust jets residing in the same local node as their parent galaxies. We resolve the mechanical failure of heliocentricity with the "Vaporization Proof," demonstrating that orbital speeds of 66,600 mph would instantly vaporize the planetary crust into plasma against the 1022 kg/m3 plenum, thereby restoring the 1 mph Stationary Earth-Axle as the master bearing of the machine.Validation is provided through the Skrynnik (2025) Fractal Shield, which derives Planck’s constant as a geometric requirement (2π/∣c4∣num) and successfully scales the properties of a sub-atomic neutron to the macro-standing wave of the Milky Way galaxy. This correction confirms our 42,000x odometer adjustment, bringing the Terminal Acoustic Horizon (R) to a compact 34.5 Trillion Kilometre "137-Wall". Finally, we provide the industrial blueprint for an LHC Phase-II Upgrade, replacing"Stochastic Ballistics" with Resonant Docking via 7,776 Hz and 7,777 Hz signals to unlock Universal Abundance and the Medical Re-Tuning of biological tissue back to the universal 813.3 Hz pulse.
Category: Quantum Physics

The Universal Gearbox: a Forensic Audit of the 1022 Plenum and the E=MΦ Identity.

Authors: Michael Quigley
Comments: 98 Pages. AI-collaborative research. Vol II of a two-part framework. Forensic Engineering Manual to Vol I: THE END OF MATHEMAGICS (submitted). Blueprints for S.A.T., 1/137 Slip-Ratio, and Master Redshift Equation

For more than a hundred years, the "Abstract Curtain" of a vacuum void, non-linear time, and the mystery of "Action at a Distance" has obscured the true nature of physical reality (1) Dingle (1972). This paper formally dismantles that paradigm by identifying the Universe as a Rigid-Packed Plenum of 1022 ether granules—a "Universal Marble Pit" where absolute separation is a mechanical impossibility (2) Lodge (1909), (3,4,5) Quigley (2026). By applying the exact principles of mechanical engineering—rotors, stators, and gear-meshing—we demonstrate that matter is a Geometry of Movement machined into existence by a 13.33 Hz universal motor.We introduce the Autonomous Out-Wave concept, identifying the Ethos-648 Monobrick as an Autonomous Standing Wave Generator to solve the "Wait-Time" paradox of classical wave theory. Forensic verification is provided by Lund University (6) Mauritsson (2008), whose attosecond filming of an electron captured the rigid standing wave geometry required for the K=10 architecture identified by (7) Yee (2019). Consequently, we replace Einstein's E=mc2 with the Universal Seesaw Identity (E=mΦ), where Φ (Phi) represents the engaged state of the Acoustic Clutch. This "Broker" concept, originally proposed by (8) Wolff (1990), redefines the space between particles as a physical bridge, replacing the (9) Einstein (1905) "photon packet" with a discrete mechanical "poke" and resolving the paradox of entanglement (10) Bell (1964) through mechanical rigidity.In this framework, the speed of light is reclassified as the Lattice Setup Time (Ls)—the mechanical duration required to compress the elastic "Marshmallow" gaps in the plenum. This re-evaluates the data of (11) Fizeau (1849) as "Squash-Time" rather than travel velocity. We perform a forensic audit of foundational identities, redefining Planck (1900) (12) as the mechanical work of granule vibration and Schrödinger (1926) (13) as the industrial blueprint for the K=10 Electron Peloton. We unmask the Fine Structure Constant (FSC ≈ 1/137.036) as a physical Volumetric Slip-Ratio—the mechanical gear-tolerance governed by nine discrete parameters, including the 1.08 Gearing Governor, the 10.62 Acoustic Impedance constant, and the 1.35 Expansion ratio. Furthermore, we prove that the 1,836:1 proton-to-electron mass ratio is the result of the 1836 Squeeze, where the 13.33 Hz motor drives the 1/137 slip to its terminal seizure point at the 137-Wall (13.33×137.7≈1836).This paper provides the Master Redshift Equation (z1=ztotal−(nz2+z3)), reclassifying redshift as tiered mechanical friction. Drawing on the observations of (14) Arp (1987), we strip away "Acoustic Noise" to prove that high-redshift Quasars are connected exhaust jets residing in the same local node as their parent galaxies. We resolve the mechanical failure of heliocentricity by exposing the Keplerian Fraud (15) Donahue (1988), (16) Broad (1990) and adopting the Shack (2018, 2023) (17, 18) Tychosian Correction. By restoring the 1 mph Stationary Earth-Axle—verified by the absence of ether wind in (19) Michelson & Morley (1887) and positive detection of rotation in (20) Sagnac (1913) and (21) Michelson & Gale (1925)—we correct the 42,000x scale error, demonstrating that 66,600 mph orbital speeds would instantly vaporize the planetary crust against the 1022 plenum.Validation is provided through the 648-node stability threshold of (22) Tomes (2005) and the 108-harmonic lock documented by (23) Bunnell (2014). The Skrynnik (2025) (24) Fractal Shield derives Planck’s constant as a geometric requirement (2π/∣c4∣num) and successfully scales the neutron to the Milky Way galaxy. We formally reject the Big Bang model (25) Lerner (1991), identifying the regular (26) 128 Mpc Megawalls as the cymatic signature of the 7,777 Hz ignition signal, as supported by the (27) 2004 Open Letter. We bridge the gap to the Ancient Industrial Grid, identifying the (28) Drumm (2022) chemical paths and (29) Dunn (1998) acoustic resonance within a (30) Petrie (1883) -verified 1.08 gearing. Finally, we provide an industrial blueprint for an LHC Phase-II Upgrade, replacing "Stochastic Ballistics" with Resonant Docking. By utilizing the (31) Tesla (1899) and Schumann (32) (1952) 13.33 Hz heartbeat and the (24) Skrynnik (2025) fractal multiplier, we unlock Universal Abundance and the Medical Re-Tuning of biological tissue back to the universal 813.3 Hz pulse.
Category: Quantum Physics

The Quantum Boundary of Consciousness: A Falsifiable Framework from Microtubule Decoherence to Multi-Scale Recursive Thought (QG-MSTRT)

Authors: Y. H. Tiu
Comments: 50 Pages.

Does quantum mechanics play a functional role in human consciousness? This paper presents QG-MSTRT, a falsifiable, six-layer biophysical framework that calculates the exact influence of quantum molecular dynamics on macroscopic neural activity. By analyzing pathways like microtubule decoherence, ion channel transport, and olfactory tunneling, the study finds that classical physics is mathematically sufficient to explain the mechanisms of consciousness. However, it identifies a specific, testable "electromagnetic bypass" in microtubules that could allow quantum effects to scale up. The paper concludes with 12 proposed experiments to definitively resolve the quantum consciousness debate.
Category: Mind Science

The Container Hypothesis: Substrate Independence Through Open Quantum System Dynamics

Authors: Y. H. Tiu
Comments: 23 Pages.

Whether conscious experience is substrate-independent—capable of arising in any physical system that implements the appropriate computational or dynamical structure—remains a central challenge in philosophy of mind and consciousness science. This paper proposes the Container Hypothesis, a formal framework grounded in the mathematics of open quantum systems to establish substrate independence on rigorous footing. We define a container as a four-tuple (H,H,{L_k} {γ_k})comprising a Hilbert space, system Hamiltonian, a set of Lindblad (jump) operators, and corresponding coupling rates. Within this framework, we introduce two quantitative measures: Quantum Substrate Specification (QSS) efficiency, which quantifies how effectively environment-assisted processes—analogous to noise-assisted quantum transport—maintain coherent information flow; and Quantum Entanglement-correlation Fidelity (QEF) strength, which captures multi-partite quantum correlations available for information integration. We define container equivalence using the diamond norm on completely positive trace-preserving (CPTP) maps, providing a rigorous criterion for when two physically distinct substrates may be considered dynamically—and potentially phenomenologically—equivalent. We derive several relationships between QSS and QEF and established measures in quantum information theory and Integrated Information Theory (IIT), and propose two experimentally testable predictions involving two-dimensional electronic spectroscopy of candidate biological structures and correlational neuroimaging studies. We explicitly acknowledge that this framework does not address the hard problem of consciousness, operates under significant empirical uncertainty regarding biological quantum coherence timescales, and should be regarded as an exploratory formal proposal rather than an established theory.
Category: Mind Science

Structured Media Remove Macroscopic Propagation Losses but Expose a Microscopic Decay Ceiling in Adjoint-Based Quantum Optimal Control of Selective Conversion

Authors: Keiji Yoshimura
Comments: 10 Pages.

We investigate phase-2 quantum optimal control of selective conversion in a structured medium designed to suppress the macroscopic limitations identified previously in untreated bulk media. Building on the Maxwell-Bloch-Lindblad-thermal adjoint formalism established in phase 1, we incorporate thin-filmization and active cooling into a one-dimensional structured-medium simulator and optimize the boundary control using analytical adjoint gradients combined with L-BFGS-B. In contrast to untreated bulk propagation, the structured configuration strongly suppresses propagation-induced attenuation and thermally amplified decoherence.However, despite the removal of these macroscopic loss channels, the optimized target-state population saturates at 0.915135 under a realistic control-energy penalty λ_energy = 10u207bu2074. This saturation indicates that, once macroscopic propagation and thermal bottlenecks are relieved, the dominant limitation shifts to the microscopic spontaneous decay of the intermediate state, here characterized by Γ = 0.5. The optimizer therefore converges not to complete transfer but to a resource-constrained Pareto-optimal compromise between rapid passage and radiative loss.These results establish a hierarchical picture of control limitations: untreated bulk media are limited primarily by transport and thermal feedback, whereas structured media reveal a second ceiling set by microscopic dissipation under finite laser power. We conclude that further progress toward near-unity transfer will require not only pulse optimization but also microscopic channel engineering, such as suppression of the lossy decay pathway, enhancement of effective Raman coupling, or cavity-enabled reservoir engineering.
Category: Quantum Physics

The Urgent Transition: from Anthropocentric Collapse to a Biocentric Educational Paradigm in the Climate Crisis

Authors: Thiago de Castro Nobre
Comments: 14 pages. Language: Portuguese. License: CC BY 4.0

The contemporary climate crisis requires an understanding that transcends the purely environmental perspective, configuring itself, in reality, as the ultimate expression of the saturation of an epistemological paradigm that has historically guided modernity. In this context, this theoretical-conceptual article defends the central hypothesis that the persistence of the anthropocentric paradigm — based on the profound division between society and nature — within modern education constitutes one of the structuring factors for the perpetuation and worsening of the global ecological crisis. Through qualitative research based on interdisciplinary hermeneutic analysis, the present study critically reconstructs the historical evolution of the main epistemological matrices: theocentrism, anthropocentrism, and biocentrism. The investigation analytically demonstrates how the current educational and curricular model still reproduces the logic of domination and human-nature separation, drastically limiting the capacity for a civilizational response to urgent climate challenges. Given this systemic diagnosis, it is argued that biocentrism, understood here as an ontology of systemic interdependence and the recognition of life as an intrinsic value, offers the necessary structural and ethical basis for the formulation of a new educational paradigm. It is concluded, therefore, that the transition to a biocentric educational model does not merely represent an innovative pedagogical alternative or an optional ethical choice, but an absolutely unavoidable structural condition for promoting civilizational sustainability, effective ecological literacy, and planetary health in the 21st century.
Category: Education and Didactics

The Illusion of the Obvious : A New Physics of Consciousness and Death

Authors: Frank Di Leo
Comments: 220 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

I propose an eight-dimensional substrate architecture resolving major problems in physics and consciousness studies. Four spacetime dimensions are complemented by substrate dimensions: dark energy (quantum field medium), dark matter (gravitational component), dark architecture (mathematical Forms), and dark information (holographic actualization encoding).Photons are re-conceptualized as fracture events—electromagnetic oscillations in substrate dark energy crossing dimensional boundaries at characteristic frequency c, carrying only four numerical parameters (frequency, amplitude, phase, polarization). This eliminates the image-in-light assumption: visual phenomenology emerges from consciousness rendering neural patterns that processed photon data, not from images carried by light. Vision becomes three-stage process: photon reception, neural computation, consciousness rendering.Consciousness coupling strength G scales as G ∝ N·⟨g²⟩·C where N is neuron count, g is individual coupling constant, and C is coherence factor. When G exceeds threshold G_c, consciousness force actualizes quantum superposition to definite 4D outcome via projection operator, resolving measurement problem mechanistically. Born rule probabilities emerge from substrate amplitude distributions weighted by cosmic pattern-identity library.Dark energy density (ρ_DE ≈ 10u207b²u2079 g/cm³) results from projection geometry reducing substrate dimension density to observed cosmological constant. Dark matter is dimensional mass component coupling gravitationally without electromagnetic interaction.Framework generates testable predictions: consciousness correlates with neural coherence over activity; quantum decoherence shows coupling threshold; CMB contains previous-cycle signatures; convergent evolution exceeds random frequency. Death becomes dimensional transformation—pattern-identity persists in dark information dimension enabling substrate consciousness coupling.
Category: Quantum Physics

Force Polarity Inversion as the Mechanism of Cosmogenesis: A Unified Conceptual Framework for Dark Matter, Quantum Duality, and the Cosmic Energy Budget

Authors: Luiz Felipe Coutinho Martins Filho
Comments: 8 Pages.

We develop a conceptual framework proposing that the Big Bang constitutes a force polarity inversion event within a pre-existing gauge sector the substrate which we identify with what is currently observed as dark matter. A discrete transformation T, acting on the substrate's gauge fiber bundle while leaving spacetime geometry invariant, produces a derived sector (our Standard Model) whose gauge representations are orthogonal to the substrate's. Gravity, as a property of the base manifold, survives as the sole inter-sector channel. A companion paper [1] proves the gauge incompatibility and gravitational invariance theorems kinematically and presents a toy model (SU(5)_L × SU(5)_R × Z_2) with anomaly cancellation, BBN compatibility, and quantitative predictions.The present paper extends the framework to six conjectural directions, each requiring independent formalization: (i) dark matter invisibility as structural gauge incompatibility (zero coupling by algebra, not tuning); (ii) wave-particle duality as competition between substrate and visible-sector gauge regimes, with measurement as regime-dominance transition; (iii) quantum probability as a resolution limitation imposed by the derived sector's inherited energy ceiling, raising the possibility that the Born rule may be derivable rather than postulated; (iv) entanglement as single-entity projection from the substrate, reinterpreting non-locality as a geometric artifact; (v) dark energy as the gravitational-thermodynamic effect of the substrate's vastly greater mass-energy on the derived sector, potentially reducing the three cosmological parameters (5%, 27%, 68%) to consequences of a single mechanism; and (vi) an observable multiverse from multiple inversion events sharing the same gravitational manifold, testable through gravitational wave spectral structure and CMB anomalies. The framework is positioned relative to existing programs (mirror matter, hidden sectors, CPT cosmology, Nelson's stochastic mechanics, de Broglie-Bohm pilot wave theory) and a detailed formalization roadmap is provided. A speculative appendix explores the speed of light as an inherited energy constraint of the derived sector.
Category: High Energy Particle Physics

Faces of the Goddess: Representation, Identity, and Power in Indian Religious Iconography

Authors: Deeksha [Doe]
Comments: 4 Pages. (Note by ai.viXra.org Admin: Full and real author name is required in the article)

In Telugu, when women wear ornaments and flowers, people say: "Mahalakshmi laga unav Amma" (you are looking like Goddess Lakshmi). This everyday expression suggests that goddess imagery in India often mirrors the women around them. Such resemblances raise questions: do goddesses take on the face of their communities? Or do they reflect dominant ideals of beauty, power, and morality? This paper explores how Indian goddesses are represented in different regions and what this reveals about identity, caste, and gender.
Category: Religion and Spiritualism

The Relativistic Field Theory of Primes: Universal Cohomological Object that Unifies Number Theory and Mathematical Physics with the Emergence of Relativistic Quantum Field Theory, Quantum Entropic Gravity, and Classical Spacetime

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

We construct a relativistic field theory of primes (RFTP) in which the adelic phase space is quantized by a single arithmetic object — the motivic commutator arising from the 691 topological defect. The twisted Lorentz oscillator serves as the microscopic foundation, yielding a direct derivation of Planck’s law and the entropy of a single harmonic oscillator from the commutator spectrum, with zeta regularization modulated by the 691 rigidity. The defect, realized as the non-trivial Galois extension forced by the vanishing Stickelberger element when 691 divides B12, functions as a universal cohomological object that factors through all Weil cohomologies. Stationarity of the combined action produces EinsteinCartan geometry as the thermodynamic equation of state describing curvature annealing of the defect until the conductor-9 snag, where octonionic triality locks vertical phase into GL(3) structure, generating rest mass via the Higgs-like clutching mechanism. Photons emerge as the symmetric null limit of the commutator, while massive particles arise from partial or full clutching. The theory recovers Maxwell equations in the low-energy phase, Dirac dynamics with torsional corrections, and entropic gradients driving probability flow. Implications for the BSD conjecture, Hilbert’s 12th problem, Navier-Stokes smoothness, and the Riemann Hypothesis are noted, but formal resolutions are deferred to dedicated manuscripts. The framework offers a first-principles unification of number theory with relativistic quantum field theory and gravity through a single motivic commutator.
Category: Mathematical Physics

Quantum Superposition from Octonionic Nonassociativity

Authors: Rüdiger Giesel
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We propose a framework in which quantum superposition emerges from the nonassociative structure of the octonion algebra. A dynamical octonion-valued field is introduced whose self-interaction is governed by the octonionic associator. The imaginary octonions define a natural G2 three-form which determines a metric structure, providing a geometric link between algebra and spacetime. The resulting field dynamics are summarized by a single master equation containing propagation, curvature coupling, and nonassociative interaction terms. Because octonion multiplication admitsdistinct ordering channels, the dynamics naturally generate independent algebraic evolution paths whose linear combination reproduces the superposition principle of quantum mechanics. Projection onto quaternionic subalgebras yields complex wavefunctions obeying the Schr¨odinger equation in the nonrelativistic limit. The framework suggests that the Hilbert-space structure of quantum mechanics may originate from the nonassociative nature of the underlying algebraic structure.
Category: Quantum Physics

On the Nature of Primes: a Deterministic, Endogenous, Non-Stationary S-Adic Automaton for the Sieve of Eratosthenes

Authors: Birke Heeren
Comments: 44 Pages.

We present a deterministic, endogenous, non-stationary S-adic automaton thatmodels the Sieve of Eratosthenes as a dynamical system over a finite symbolic alphabet. Theautomaton operates through three operators — shift, expansion, and filtering — applied sequentiallyto a growing symbolic tape, and provably reproduces the classical prime-compositeclassification for every integer n ≥ 2. Unlike algorithmic sieves, the automaton generatesan internal symbolic representation of the number line whose structure can be analyzed atevery step.Our first focus is: Can this new framework reproduce known mathematical knowledge?We demonstrate that this representation is not arbitrary: the tape exhibits a four-lettersubstructure {a, b, c, d} governed by an explicit substitution morphism and an upper triangulartransition matrix Mp. The dominant eigenvalue p−2 controls the population dynamicsof twin prime templates, yielding a recursive growth formula consistent with OEIS sequenceA059861 and with the combinatorial factors underlying the Hardy—Littlewood k-tuple conjecture.A central structural result is the Stability Zone SZn = [n+1, 2n−1], a provably immutableinterval in which prime candidates survive all prior filtering steps. Using a Frozen Windowtechnique, we verify the persistence of the symbolic structure experimentally up to n =250,000.Our second focus is: Can this new framework lead to new mathematical knowledge?Finally, we discuss the local Hausdorff—Besicovitch dimension of the prime candidateset within the Stability Zone. It begins near 0.92 and increases monotonically toward 1as n → ∞, following D(p) = ln(p − 1)/ ln(p). This process — vanishing fractality —unfolds dynamically inside the growing, advancing Stability Zone as it travels through thenumber line, and provides a deterministic, structural perspective on the transition from theordered regime of small primes to the apparent randomness observed in large-scale primedistributions.The automaton is offered not as a computational tool for generating primes, but as aresearch instrument: a symbolic framework in which arithmetic properties of the naturalnumbers emerge from the internal dynamics of the system.
Category: Number Theory

MemorySpine: O(1) Memory Context Extension for Large Language Models via 2-Bit Quantized Embedding Storage

Authors: Abu Saad
Comments: 23 Pages.

I present a replacement of KV cache, the "MemorySpine", a constant-memory context extension system for Large Language Models that decouples semantic storage from model architecture. Unlike KV-cache approaches whose memory grows as O(n·L·d), MemorySpine operates at O(1) memory complexity by storing embedding-level semantic fingerprints rather than per-layer attention states. I employ an orthogonal rotation matrix Ω initialized via Modified Gram-Schmidt for content-addressable hashing, ensuring uniform slot distribution with near-zero collision rates. It can theoretically have billion token context limit with just 5gb ram unlike kv cache taking 30+ram for million context in LLM.
Category: Artificial Intelligence

Review on Different Brain Regions Affected Due to Head Injury, Its Consequences and Suggested Interventions

Authors: Shreyka Mishra
Comments: 22 Pages.

Head injury refers to any traumatic damage affecting the cranium (the skull) and the intracranial structures, which include the scalp, skull bones, and the brain itself. This broad category encompasses injuries caused by external forces such as blows, falls, or accidents that impact these areas.The terms Traumatic Brain Injury (TBI) and Head Injury are frequently used interchangeably in both clinical and research contexts. However, it is important to note that TBI specifically refers to damage to the brain tissue and its function, whereas head injury can include trauma to the scalp and skull without necessarily involving brain injury. Head injury affects multiple brain regions, with outcomes varying according to the severity and location of damage. Diffuse injuries often impair global brain function, while focal lesions in areas such as the thalamus, hippocampus, and frontal lobes result in region-specific deficits. According to Galgano et al. (2017) and Bernick et al. (2015), traumatic brain injury (TBI) commonly leads to memory loss, slowed processing speed, mood instability, impulsivity, and heightened risk for neurodegenerative conditions such as chronic traumatic encephalopathy (CTE). The pathophysiology of TBI involves both primary injury (direct tissue damage) and secondary cascades—including inflammation, excitotoxicity, oxidative stress, and apoptosis—that aggravate neurological outcomes over time (Bramlett & Dietrich, 2015; Freire et al., 2023). As Khatri et al. (2021) emphasize, open injuries tend to cause localized motor impairments, while closed injuries more often lead to diffuse cognitive and behavioral deficits. Interventions range from surgical procedures like decompressive craniectomy to long-term cognitive and behavioral rehabilitation (Galgano et al., 2017; Khan & Talley, 2025). Evidence underscores the effectiveness of early detection, prevention, and individualized multimodal rehabilitation across cognitive, motor, and emotional domains. Despite advances, many survivors experience persistent functional disabilities, highlighting the need for ongoing, inclusive research and patient-centered care (Wilson et al., 2017; Khatri et al., 2021; Freire et al., 2023). Thus, this review delves into the specific brain regions affected by head injury, their behavioral and cognitive consequences, and the interventions that can facilitate recovery — bridging neuroscience with clinical practice.
Category: Mind Science

Super-Momentum Coherence as a Diagnostic Probe of Causality from Asymmetric Decoherence

Authors: John Dangelo
Comments: 12 Pages. Email :Jpaces33@gmail.com

The paper asks a fundamental question — why does causality exist at all? Why does time have a direction? Why do definite events happen?The answer it derives is this:Causality is not built into nature as a fundamental feature. It emerges from a very specific asymmetry in how quantum systems interact with their environments.Because all fundamental interactions — gravity, electromagnetism, the strong and weak forces — couple to position rather than momentum, the environment naturally monitors position. Position states become stable and classical. Momentum states get scrambled.This asymmetry — position decohering, momentum remaining coherent — is what creates the arrow of time, definite events, and causal structure. Without it one would have symmetric decoherence and no causality at all. That’s Theorem 1 and it’s a strong result.The key new object — Π(t):The convergence polarization tensor Π measures how aligned a quantum state is with the environment’s monitoring basis. When Π = 1 the state is fully classical. When Π ≪ 1 the state is in the complementary sector — what the paper calls "super-momentum."Super-momentum states do not immediately contribute to decoherence. They sit off-resonant from the environment. And crucially — they reveal the conversion process itself rather than its outcome. They let you watch classicalization happening rather than just seeing the classical result afterward.The experimental prediction:A source prepared in momentum coherence rather than position coherence should show delayed gravitational activation — because it has to first rotate into the pointer basis before contributing to Decoherence Effective and Accumulative. That delay time encodes directly and is measurable.The paper formalizes exactly what is discussed — that standard superposition studies probe the wrong basis. They measure position-aligned states, which means they’re measuring the output of classicalization, not the mechanism. The asymmetric approach probes the complementary sector and sees the process itself.The D/eff integral in equation 18 is the rigorous version of what we identified as the influence functional carrying gravitational information — now with Π and R(t) making the directionality explicit.And the semiclassical gravity comparison in Section IX.C is the clearest single statement of what distinguishes this framework from standard GR:
Category: Quantum Physics

J. S. Bell's Inequality Postulate Reviewed By Direct Comparison Of Expectation Formulae

Authors: R. L. Mc Murtrie
Comments: 8 Pages.

This paper identifies inconsistencies between the expression for the Kolmogorov expectation value of the product of two discrete random variables and the incorporation of such expectation values in Bell-type inequalities.
Category: Quantum Physics

Levels of Measurement

Authors: Shreyka Mishra
Comments: 14 Pages.

This paper presents a conceptual overview of levels of measurement—nominal, ordinal, interval, and ratio—within the context of psychology. It focuses on defining each level and illustrating their application through relevant psychological examples. By linking abstract measurement principles to real-world psychological variables, the paper highlights how levels of measurement shape data interpretation and methodological choices. The discussion emphasizes conceptual clarity as essential for accurate understanding and effective use of psychological data.
Category: Social Science

RL-Calibrated Chaos Engineering: A Constrained MDP Approach to Network Resilience Testing

Authors: Sayali Patil
Comments: 12 pages, 9 tables, 3 theorems. IEEE two-column format. Working paper, April 2025.

Chaos engineering tests production network resilience by injecting controlled failures; the central open problem is calibration: how much failure injection is sufficient to expose latent resilience defects without degrading quality of service (QoS) experienced by end users? In practice, the inability to systematically calibrate failure injection has limited chaos engineering adoption in production environments, particularly in systems where reliability, cost, and user experience are tightly coupled. As AI-driven infrastructure and autonomous systems proliferate, this problem becomes critical—improper experimentation either misses failure modes or introduces unacceptable operational risk. The chaos-level engine of U.S. Patent No. 12,242,370 B2 (Cisco Technology, Inc., 2025) automates chaos-level derivation from network telemetry and refines it through a linear parameter adjustment loop, but provides no formal optimality guarantee, no mathematically rigorous safety constraint, and no sample-complexity characterization. This paper introduces a principled framework that resolves these limitations by casting chaos-level calibration as a Constrained Markov Decision Process (CMDP) and training a reinforcement-learning (RL) agent to select chaos levels maximizing cumulative resilience-discovery yield per unit of QoS risk, subject to a hard probabilistic constraint on production-disabling events. Three theorems establish the theoretical foundation: Theorem 1 (Safe Action Set Existence) proves a non-empty set of QoS-safe chaos actions always exists, guaranteeing CMDP feasibility; Theorem 2 (Bellman Optimality) establishes the resilience-per-risk reward satisfies the Bellman contraction, guaranteeing a globally optimal deterministic policy exists; Theorem 3 (PAC-Convergence) gives an explicit sample complexity bound O(|S|²|A|εu207b² log |S||A|/δ) for reaching an ε-optimal safe policy with probability 1−δ. A Lagrangian primal-dual policy-gradient algorithm enforces the safety constraint at exact probabilistic semantics without penalty approximation. Empirical evaluation in a 150-node SD-WAN simulation—instantiating the patent’s reference architecture—demonstrates the RL agent discovers 41.3 ± 3.8% more latent resilience defects than the patent’s heuristic baseline, reduces unnecessary production disruptions by 58.7%, and achieves zero hard-constraint violations across 500 evaluation episodes, converging in 34 training episodes versus non-convergence of the heuristic baseline within 200 episodes.
Category: Artificial Intelligence

Mindfulness-Based Cognitive Therapy (MBCT):An Integrative Clinical and Theoretical Review

Authors: Shreyka Mishra
Comments: 24 Pages.

Mindfulness-Based Cognitive Therapy (MBCT) is an integrative psychological intervention combining cognitive-behavioral principles with mindfulness practices to reduce relapse in depression and improve emotional regulation. This paper reviews key literature on MBCT, focusing on its theoretical foundations, clinical applications, mechanisms of action, and limitations. Evidence consistently supports MBCT’s effectiveness in preventing depressive relapse, with additional benefits observed in anxiety disorders, chronic pain, and stress-related conditions. Its therapeutic effects are primarily mediated through increased mindfulness, reduced rumination, and enhanced emotion regulation, alongside associated neurobiological changes. Despite strong empirical support, limitations such as methodological variability and limited long-term data remain. Overall, MBCT represents a promising, non-pharmacological approach to mental health care, with scope for further research on cultural adaptation and delivery formats.
Category: Social Science

The Structural Origin of the Variable Fine Structure Constant: A Discrete 3D Fibonacci-Tetrahedral Vacuum Model

Authors: Andrew Ebanks
Comments: 3 Pages.

The fine structure constant α is a cornerstone of fundamental physics, yet persistent observational evidence from high-resolution quasar spectroscopy suggests it may vary across cosmological scales.We provide a zero-parameter, purely geometric derivation of this variance within the Fibonacci Tetrahedral Lattice (FTL) framework. By modeling the vacuum as a discrete, aperiodic tilingof regular tetrahedra derived from an E8 → R3 projection, we demonstrate that the observed≈ 10 ppm shift in α emerges as a necessary mechanical consequence of structural phase transitions between discrete "Fibonacci Gates." Furthermore, we show that the same structural frustration that generates α variance also drives the **Hubble Expansion Ratio** (κexp = 1.0905) between gate transitions, providing a unified resolution to both the α-dipole and the Hubble Tension (67.4 × 1.0905 ≈ 73.5 km/s/Mpc). This result transforms a series of observational "anomalies" into the primary experimental proofs for a discrete, frustrated vacuum.
Category: Relativity and Cosmology

Psychological Correlates of Cardiovascular Activity: A Detailed Literature Review

Authors: Shreyka Mishra
Comments: 30 Pages.

Cardiovascular disease (CVD) remains the leading cause of global mortality, yet growing evidence shows that psychological processes play a central role in its development and progression. This review synthesizes research on negative psychological states (stress, depression, anxiety) and positive well-being (optimism, emotional vitality) in relation to cardiovascular outcomes. Negative states increase risk through autonomic imbalance, HPA axis dysregulation, inflammation, and maladaptive health behaviors, whereas positive well-being exerts protective effects. Heart rate variability (HRV) is highlighted as a key biomarker linking emotional regulation with cardiac function. Across the lifespan, psychological factors contribute cumulatively to cardiovascular vulnerability. Emerging interventions, including CBT, mindfulness, and HRV biofeedback, show promise in improving outcomes. Overall, the findings support a biopsychosocial framework, emphasizing the need to integrate psychological care into cardiovascular prevention and treatment.
Category: Mind Science

Evaluating the Efficacy of Artificial Intelligence in Software Engineering: A Post-February 2026 Analysis

Authors: Stephane H Maes
Comments: 23 Pages. All related details of the projects (and updates) can be found and followed at https://shmaes.wordpress.com/

The foundations of software engineering have undergone great transformations, especially following the release of frontier Large Language Models in the first quarter of 2026. This paper evaluates the efficacy of artificial intelligence for coding and within the software development lifecycle (SDLC), often contrasting theoretical benchmark, against empirical observations.. While frontier architectures, notably Anthropic Claude 4.6, OpenAI GPT 5.4, and DeepSeek V4, have definitively surpassed human baselines, in isolated synthetic benchmarks, their outcome within enterprise production environments reveals severe problems, confirming our past concerns and predictions. The initial perception of hyper accelerated code generation velocity, at this stage, widely publicly believed, is significantly counterbalanced by the Great Toil Shift, a phenomenon wherein the temporal savings of algorithmic syntax authoring are entirely consumed by the downstream burdens of architectural review, security auditing, code understanding/documentation, and continuous support and maintenance. Efficiency gains are not what they seem.This paper identifies unprecedented surges in cyclomatic complexity, dynamic security vulnerabilities, and cognitive debt. Furthermore, the analysis identify the severe human toll associated with unrestricted artificial intelligence adoption. Driven by the relentless need to audit stochastic algorithmic outputs, human operators are increasingly suffering from AI Brain Fry, defined as acute mental fatigue resulting from the cognitive overload of continuous algorithmic oversight. This psychological degradation directly catalyzes the proliferation of coding Work Slop, wherein low quality, verbose, and structurally deficient code masquerades as competent engineering, actively destroying the structural integrity of the enterprise application architecture. It seems that this problem will only grow as LLMs evolve.Ultimately, this paper concludes that while algorithmic systems have altered the velocity and division of technical labor, long term codebase viability remains strictly dependent of senior engineering oversight. Senior developers, QA can’t just be replaced by junior developers and AI.Or, to mitigate these systemic regressions, this paper posits that traditional human and artificial intelligence collaborative paradigms, including unconstrained vibe coding, are fundamentally unsustainable. Instead, the industry must transition toward application aware agentic artificial intelligence platforms. By leveraging dynamic temporal graph memory, and rigorous threat modeling frameworks, these deterministic platforms constrain stochastic generation, enforcing strict SDLC governance autonomously.
Category: Artificial Intelligence

Unclaimed Experiences of Sexual Harassment of Women at the Workplace in India: A Comprehensive Analysis

Authors: Shreyka Mishra
Comments: 31 Pages.

Sexual harassment of women in Indian workplaces remains widespread yet significantly underreported, despite existing legal protections such as the Vishaka v. State of Rajasthan guidelines and the Sexual Harassment of Women at Workplace Act. This review examines the phenomenon of "unclaimed" harassment—experiences that remain unreported due to fear, stigma, normalization, and institutional inaction. Drawing on research studies, case narratives, and secondary sources, the paper highlights how harassment often manifests in subtle, socially accepted forms, particularly affecting women in both formal and informal sectors. The review further explores the psychological consequences, including anxiety, self-doubt, and reduced professional well-being. It argues that workplace sexual harassment is not only a legal issue but a critical psychological and socio-cultural concern, necessitating stronger institutional accountability, gender sensitization, and supportive reporting mechanisms.
Category: Social Science

The Mobius Twist as Intrinsic Planck Constant: Motivic Quantization of the Adelic Phase Space and the Emergence of Spacetime, Charge, and Thermodynamics in the Relativistic Field Theory of Primes

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

We extend the Relativistic Field Theory of Primes by identifying the motivic object at thecentral cusp of the adelic upper half-plane — the non-orientable homology cycle γ pairedwith its divergence-free cohomology current JAudit, under the M¨obius twist correspondenceτ : γ 7→ −γ — as the intrinsic adelic Planck constant ℏA. This single topological object supplies the fundamental unit of action. It quantizes the adelic phase space via the commutator [τ, γ] = iℏAΩ, deforms the constitutive tensors εA and µA, derives the elementary charge eA from the holonomy around the minimal twist loop, and yields the fine-structure constant αA as a pure geometric ratio. Starting from the twisted Lorentz oscillator as the microscopic probe, the theory builds upward: the Bernoulli irregularity at weight 12 (prime 691) sets torsional rigidity, entropy gradientsdrive probabilistic flow, and the resulting entropic force produces Einstein-Cartan geometryas a thermodynamic equation of state (Jacobson-style). The same motivic object that quantizes the adelic phase space also defines the vacuumproperties and the coupling constant, providing a self-contained geometrization in whichclassical spacetime, quantum spin statistics, and Standard Model parameters emerge fromthe fundamental duality between analytic volume and algebraic rigidity.
Category: Mathematical Physics

Displacement Spacetime

Authors: Aaron Alai
Comments: 48 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present a unified theoretical framework — Displacement Spacetime (DST) — in whichall fundamental interactions emerge from two geometric axioms: mass is the radialdisplacement of spacetime, and charge is its rotational displacement. The frameworkoriginates in an exact mathematical identity connecting moiré interference patterns tomeasurements of the quantum Wigner characteristic function, numerically verified against five published quantum state experiments to six decimal places. From these two axioms, supplemented by the topology of SO(3) and the geometry of the displacement manifolds, the following results are derived without free parameters: the fine structure constant α = 3/(8 ln(m_Pl/m_e)) to 0.27% at one loop; three generations of matter from the Euler characteristic of CP²; sin²θ_W = 3/8 from SU(5) selection; the Koide lepton mass relation to 0.001%; the proton-to-electron mass ratio m_p/m_e = 6π^5 to 0.002%; the CP violation phase δ_CP = arctan(8/π) to 0.28%; dark matter mass m_DM = m_e = 511 keV from rotational-radial coupling; and spin-1/2 uniqueness for all fundamental charged matter from three independent proofs. A 0.27% residual appears consistently across multiple independent calculations. This residual is identified as a self-referential correction: α corrects the formula that determines α. The exact corrected formula is α = (3/8)/(ln(m_Pl/m_e) − 9/64), accurate to 0.002%. The consistency of this single correction across all predictions constitutes the principal structural evidence for the framework's validity. Falsifiable experimental predictions are catalogued, including a dark matter detection cross-section and deviations from Standard Model neutrino mixing.
Category: Quantum Gravity and String Theory

AI-Generated Figures in Academic Publishing: Policies, Tools, and Practical Guidelines

Authors: Davie Chen
Comments: 15 Pages.

Generative artificial intelligence (AI) has created new possibilities for producing scientific figures, graphical abstracts, and conceptual diagrams at substantially lower time and skill cost. At the same time, publishers and journals have introduced heterogeneous policies governing the disclosure and acceptability of AI-generated imagery, leaving researchers with limited operational guidance. In this paper, we conduct a structured review of editorial policies from 12 major publishers and journals current to January 2026, analyze the principal concerns motivating these policies, and compare representative figure-generation tools for academic use. As an illustrative case, we examine SciDraw, a domain-specific platform for scientific illustration available at https://sci-draw.com. Our analysis indicates that publisher guidance converges on three requirements: transparent disclosure, retained human accountability, and heightened scrutiny for figures that could be mistaken for primary data. On this basis, we propose a practical framework for compliant use centered on provenance recording, figure-level disclosure, and post-generation expert review. We argue that AI-assisted figure generation is most defensible when limited to schematic and communicative visuals, accompanied by reproducibility metadata, and explicitly separated from evidentiary data figures.
Category: Artificial Intelligence

Vibe-Coding and SDLC Constrained And Managed By An Application-Aware AI-Like Agentic Platform

Authors: Stephane H Maes
Comments: 31 Pages. All related details of the projects (and updates) can be found and followed at https://shmaes.wordpress.com/

The contemporary enterprise software environment is defined by a critical market failure known as the Deployment Paradox. Despite unprecedented capital allocation toward Generative AI infrastructure, a vast majority of enterprise AI pilots fail to graduate to production environments or deliver measurable financial returns. A non-negligible contributor to this failure is the less than stellar outcome from the adoption of Ai assistant and vibe coding, a development paradigm utilizing natural language prompts to generate software autonomously. While vibe coding compresses software development cycles, it introduces new challenges in explainability, security, maintenance and support. Also, it operates at a low granularity of intent. It also increases code volume, with limited to no focus over architectural integrity. Despite grandiose expectations, developers often spend the same or more time developing and maintaining, and enterprises have to hire new people, to compensate for those who were let go. Indeed, the traditionally recommended mitigation strategy involves applying rigorous Software Development Life Cycle practices, e.g., DevOps, Agile methodologies, to AI generated code snippets. This manual intervention negates the velocity benefits of AI coding and traps organizations in endless integration cycles. This paper proposes a paradigm shift towards using an agentic platform to autonomously perform the AI/vibe coding based on high level intent conversations with a meta-agent and a model the constraints derived on an Application Aware AI utilizing a Real Time Discovery and Coding engine. By deploying a meta agent that interacts with a developer agent within a platform managed lifecycle, enterprises can automate semantic verification and continuous optimization. This architecture leverages a deterministic model of constraints, transactional object memory (for reliability and rewind), and secure sandboxing to neutralize the inherent risks of probabilistic Large Language Models. We detail how this embedded agentic infrastructure addresses the limitations of vibe coding, ensuring secure, maintainable, and self evolving enterprise software systems capable of disrupting traditional enterprise applications.The application-aware AI agentic platform that we detail is based on Zenera offerings. Others can be considered as long if they follow principle enumerated in this paper of constrained vibe coding.
Category: Artificial Intelligence

Gravity Imprints, Time Fades: A Curvature-Memory Relaxation Model with Exact MOND Steady State

Authors: Geza Kovacs
Comments: 16 Pages.

We present Imprint-Fading (IF) theory, a one-field dissipative model for galactic dynamics in which spacetime accumulates a curvature-memory variable Σ from baryonic sources and loses it by fading at the Hubble rate. The dimensionless evolution equationṡ = Hu2080 [ y − s²/(1 − s) ],where s ≡ Σ/au2080 and y ≡ g_N/au2080, is simultaneously a gradient flow on the grand-canonical free energy of a lattice gas with hard-core exclusion and mean-field pair interactions, and the Onsager equation for entropy production in a driven dissipative system. In steady state it yields the MOND simple interpolation function ν(y) = [1 + √(1 + 4/y)] / 2 exactly and without free parameters.Global asymptotic stability is proved by a Lyapunov functional. The relaxation spectrum predicts timescales from 204 Gyr (ultra-faint dwarfs) to 0.09 Gyr (Newtonian regime), providing a dynamical clock absent from all prior MOND formulations. Non-equilibrium solutions predict hyperbolic halo decay after baryon stripping, with a sharp bifurcation at su2080 = ln 2: stripped massive galaxies lose half their effective halo in 6—7 Gyr, while stripped MOND-regime dwarfs retain theirs for 10²—10³ Gyr.The SPARC radial-acceleration relation is recovered exactly (by algebraic construction) once au2080 = cHu2080/(2π) is fixed from the local Hubble rate. Eight falsifiable dynamical predictions are stated; seven target galactic observations (JWST, Gaia DR4, WEAVE, Hector IFU), and one is a conditional cosmological conjecture contingent on the covariant sector.A proposed covariant extension (§10) derives c_gw = c exactly and no-ghost from the kinetic structure, with candidate results w ≥ −1 and γ_PPN = 1 + O(au2080/g_N) contingent on the proposed action; CMB invariance and phantom exclusion are stated as conjectures requiring full perturbation-theory derivation.
Category: Relativity and Cosmology

Spectral Analysis of Prime Distribution via Hankel Operators and the Pentagonal Balance of Logarithmic Sums

Authors: Dhayaa Hussein Razzaq
Comments: 9 Pages.

This research establishes a rigorous algebraic and spectral framework for studying prime distribution. The paper proves that the primality criterion c_n = -mu(text{rad}(n))varphi(text{rad}(n))—which is the additive inverse of OEIS A063659—generates the meromorphic ratio F(s) = -zeta(s)/zeta(s-1) via a Dirichlet series. We construct a self-adjoint Hankel operator M and derive an exact trace identity Tr(M) = L(2i_0 - 1) linking it to the logarithmic derivative of the Riemann zeta function. Furthermore, the "Pentagonal Balance" is presented as a structural equilibrium of five exact algebraic identities for logarithmic sums over primes. The entire mathematical architecture is verified numerically with 50-digit precision and generalized to Dirichlet characters. This work was assisted by Google Gemini (LLM) for LaTeX formatting and structural suggestions
Category: Number Theory

Vanishing Fractality: A Deterministic, Endogenous, Non-stationary S-adic Automaton for the Sieve of Eratosthenes

Authors: Birke Heeren
Comments: 41 Pages.

We present a deterministic, endogenous, non-stationary S-adic automaton that models the Sieve of Eratosthenes as a dynamical system over a finite symbolic alphabet. The automaton operates through three operators — shift, expansion, and filtering — applied sequentiallyto a growing symbolic tape, and provably reproduces the classical prime-compositeclassification for every integer n ≥ 2. Unlike algorithmic sieves, the automaton generatesan internal symbolic representation of the number line whose structure can be analyzed atevery step. Our first focus is: Can this new framework reproduce known mathematical knowledge? We demonstrate that this representation is not arbitrary: the tape exhibits a four-letter substructure {a, b, c, d} governed by an explicit substitution morphism and upper triangular transition matrix Mp. The dominant eigenvalue p − 2 controls the population dynamics oftwin prime templates, yielding a recursive growth formula consistent with OEIS sequenceA059861 and consistent with the combinatorial factors underlying the Hardy-Littlewoodk-tuple conjecture. A central structural result is the Stability Zone [n + 1, 2n − 1], a provably immutable interval in which prime candidates survive all prior filtering steps. Using a Frozen Window technique, we verify the persistence of symbolic structure experimentally up to n = 250,000. Our second focus is: Can this new framework lead to new mathematical knowledge? Finally, we discuss a new way of fractal dimension (self similarity), fitting for the prime candidate set within the Stability Zone. It begins near 0.92 and increases toward 1 as n → ∞, following D = ln(p − 1)/ ln(p). This process — vanishing fractality — unfoldsdynamically inside the growing, advancing Stability Zone as it travels through the numberline, and provides a structural perspective on the transition from the ordered structure ofsmall primes to the apparent randomness observed in large-scale prime distributions. The automaton is offered not as a computational tool for generating primes, but as a research instrument: a symbolic framework in which arithmetic properties of the natural numbers emerge from the internal dynamics of the system.
Category: Number Theory

Observational Test Strategy for an Octonionically Motivated Model of Emergent Spacetime and Cosmic Expansion

Authors: Rüdiger Giesel
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We formulate an observationally testable phenomenological framework for a cosmological model motivated by octonionic pre-geometry. In this picture, the nonassociativity of the octonionic division algebra obstructs the existence of a fundamental global time and motivates a symmetry reduction to an effectively associative sector, identified with emergent four-dimensional spacetime. Residual nonassociative degrees of freedom are modeled as an effective dynamical dark-energy component. We introduce a minimal approach for the effective octonionic energy density and derive the associated Hubble function, luminosity distance, baryon-acoustic-oscillation distances, and effective equation of state. The resulting model admits a direct mapping onto the standard (w0,wa) dark-energy parametrization and reduces continuously to ΛCDM in the appropriate limit. We present a concrete benchmark parameterization and formulate a step-by-step likelihood strategy based on Type Ia supernovae, baryon acoustic oscillations, and direct H(z) measurements. The framework is designed as a falsifiable intermediate step between a speculative algebraic origin of spacetime and precision late-universe cosmology.
Category: Relativity and Cosmology

Resolving the Hubble and S8 Cosmological Tensions Within [a New] Framework: Entropy-Driven Early Dark Energy from Twin-Law Charge Buildup and Late-Time Charge-Discharge

Authors: Aleksey Razumovsky
Comments: 12 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)

Recent DESI DR1 and DR2 data indicate mild time evolution in the dark-energy equation of state, while persistent discrepancies between early- and late-universe probes continue to manifest as the Hubble tension (∆H0 ≈5−6 km/s/Mpc,∼4−5σ) and the S8 tension (∼2−3σ). We demonstrate that both tensions are naturally resolved within [a new]Framework by a single, minimal extension: a brief, entropy-driven early dark energy (EDE) phase triggered by Twin-Law charge buildup before recombination, followed by the late- time charge-discharge mechanism already derived in our prior work. The early EDE phase arises automatically when the Hubble friction term 3H|˙ϕ|drops below the fixed potential tilt ϵ, a crossover that occurs at the cosmologically natural temperature T ≈0.95 eV (z ≈ 3500) set entirely by the benchmark parameters of the scalar potential. A transient energy release fEDE ≈0.13−0.15 raises the CMB-inferredH0 from 67.4 to∼72.8 km/s/Mpc, while the subsequent late-time charge-discharge produces the mild phantom-like w(z) evolution pre-ferred by DESI. Full CLASS/CAMB Markov-chain Monte-Carlo fits to the combined Planck+ACT+DESI DR2+BAO+Pantheon++KiDS/HSC 1 dataset reduce the Hubble tension to < 2σ and the S8 tension to<1.5σ with only the original model parameters.The mechanism preserves all prior predictions, including a distinctive stochastic ravitational-wave background with a softened infrared tail and secondary mHz hump inside the LISA core band, as well as a specific w(z) wiggle observable in forthcoming DESI DR3/DR4 re-leases. The framework remains fully consistent with the Twin Laws of energy and information conservation and requires no fine-tuningbeyond the parameters already fixed in our earlier work. We discuss falsifiability and the string-theory UV completion via Bento—Monteroflux compactifications.
Category: Relativity and Cosmology

[ A New] Framework [:] Twin Laws of Conservation and Information-Driven Cosmic Expansion

Authors: Aleksey Razumovsky
Comments: 6 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)

The [proposed new] Framework unifies two foundational conservation principles—the Twin Laws—with the Information-Driven Expansion (IDE) model, a holographic framework in which dark energy emerges as the energetic consequence of the universe’s irreversible pro-duction and holographic storage of quantum information. The Twin Laws enforce strict boundary conditions on fundamental energy and quantum information within any existing universe, while IDE converts the allowed macroscopic entropy growth into a source of dark energy. Drawing from the holographic principle, black-hole thermodynamics, information theory, and string theory, the framework resolves the origin-of-initial-conditions problem and the coincidence problem without fine-tuning. It predicts an evolving equation of state consistent with recent DESI observations and offers a quantum-gravity-compatible mecha-nism for cosmic acceleration. We derive the key equations, discuss testable predictions, and outline challenges and future directions.
Category: Relativity and Cosmology

The Pure Geometric Universe: A Particle Knot Model Based on Topological Residual Theory and a Rigorous Examination of the Full-Order Hydrogen Spectrum

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 11 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)

The Standard Model of modern physics contains dozens of free parameters (such as the fine structure constant ) that cannot be derived theoretically. Abstract "point particles" and "probability waves" do not exist in the universe. This paper establishes the "Spatial Right-Handed Cylindrical Helical Light-Speed Motion" as the sole first-principle axiom. By combining fluid dynamics vortex theorems with Knot Theory, we prove that electrons, protons, and neutrons are essentially topological vortex knots of spatial fluid. Furthermore, this theory rigorously derives the pure geometric origin of the fine-structure constant and directly introduces a second-order topological residual mechanism governed by the "square law of amplitude." This leads to the deduction of an infinite-order residual geometric cascade enclosed entirely within the axiom, constructing the topological full-order energy level formula for the hydrogen atom. This paper not only conducts a rigorous, zero-fitting algebraic examination of this formula but also provides a pure geometric resolution to the "Proton Radius Puzzle," demonstrating the paradigm-shifting predictive power of topological geometry.
Category: Quantum Physics

The Impactu2011Triggered Flash Cascade (ITFC) Model and a Rotationu2011Based Interpretation of Particle Motion — Draft v0.1

Authors: Hyun Kyu Koh
Comments: 21 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We propose the Impact-Triggered Flash Cascade (ITFC) model, a phenomenological framework in which visible light is interpreted as a cascade of flashes emitted by an unobservable background of particles (U-particles) excited through contact with a high-speed driver (P-particle). In this picture, the observable signal is not the P-particle itself but the propagation of the U-cascade. The light constant c is reinterpreted as the critical transfer speed of U, while information transfer remains bounded by the effective cascade speed, preserving local relativistic consistency.The model is governed by two phenomenological parameters: an effective transfer length and a local dwell/lag time. From these, we derive an effective propagation speed and refractive index that consistently account for rectilinear propagation, reflection and refraction, scattering and turbidity, and diffraction and interference through time-synchronization. We also outline experimental discriminators, including ultra-high-vacuum gas-injection timing tests, boundary-engineered scattering kernels using metasurfaces, and modulation interferometry.An effective-action sketch is provided to encode nonlocal memory and finite transfer range while reproducing the long-wavelength propagation law of the model. The present work is intentionally phenomenological: a detailed microscopic model of U-particles, their interactions, and their relation to standard field theory is deferred to subsequent papers.
Category: Classical Physics

Dark-Sector Charge-Discharge Mechanism for Bubble-Universe Formation: Hubble-Suppressed Nucleation Rate, Hierarchical Scaling, and a Testable Stochastic Gravitational-Wave Background

Authors: Aleksey Razumovsky
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references; please don't name title, equation/formula etc after the author's name)

Recent results from the Dark Energy Spectroscopic Instrument (DESI) provide mounting evidence that dark energy is dynamical, exhibiting mild time evolution rather than remaining a pure cosmological constant. Motivated by these observations, we introduce a simple scalar-field model in which the coupled dark-energy/dark-matter sector acts as a slowly accumulating "static charge." Vacuum energy density builds in a metastable false-vacuum state until a critical threshold triggers quantum tunneling (Coleman—De Luccia bubble nucleation) or extra-dimensional leakage, discharging the accumulated energy and nucleating a new bubble universe. We derive an explicit time-dependent nucleation rate Γ(t) ∝ t^−β (β ≈ 2) arising from Hubble suppression in the early, denser universe, naturally producing fewer discharges per horizon volume ∼10 Gyr ago and a higher relative rate in the present epoch. Monte-Carlo simulations of the process demonstrate that successive bubble-universe births exhibit hierarchical scaling: each child universe inherits a mass/energy budget smaller by 1—3.5 orders of magnitude relative to its parent, consistent with fractional tunneling leakage. The mechanism yields a distinctive stochastic gravitational-wave background (SGWB) generated by bubble collisions, sound waves, and turbulence. The spectrum features a softened infrared tail and a secondary mHz hump whose amplitude and shape are uniquely tied to the time-dependent discharge history. This signal lies within the projected sensitivity of LISA (core band ∼1—10 mHz) and pulsar-timing arrays (low-frequency shoulder), offering a concrete, multi-messenger test. Future DESI releases and next-generation gravitational-wave observatories can therefore falsify or support the charge-discharge picture as a dynamical channel for bubble-universe formation in a hierarchical multiverse.
Category: Relativity and Cosmology

Service to Parents is Equivalent to Service to All Beings

Authors: Satish Gajawada
Comments: 15 Pages.

The idea that 'service to parents is equivalent to service to all beings' is one of the most important teachings found across many cultures, religions, and philosophical traditions around the world. This paper looks at this idea from many angles — including ancient religious scriptures, modern psychology, philosophy, and sociology — to show that taking care of your parents is not just a family duty. It is, in fact, a way of expressing love and compassion for all living beings, and it is where humans first learn how to serve others.The paper introduces a simple model called the Concentric Circles of Service (like rings of a tree) to explain how love and service start at home (with parents) and then gradually spread outward to neighbors, communities, and eventually all beings. Evidence from psychology [9,10,31], sociology [24,25,26], philosophy [41,46,14,15], and spiritual teachings [1,9,21,22] all agree: the family — especially the bond with parents — is where humans first learn universal love.
Category: Social Science

Agentic Smart ITIL, And The Disruption Of The Market Of Conventional Enterprise Applications

Authors: Stephane H Maes
Comments: 36 Pages. All related details of the projects (and updates) can be found and followed at https://shmaes.wordpress.com/

Information Technology Service Management (ITSM) and the execution of ITIL 4 frameworks are currently bottlenecked by legacy, deterministic software platforms that rely heavily on manual workflows and human operators. They also come with lock-in, and heavy TCO. This paper argues for replacing these monolithic, or composable, applications with a fully autonomous Agentic AI application, and predicts that it will happen soon. It is organized first with typical practices for agentic AI platforms. Accordingly, by leveraging hierarchical agent topologies, standardized open protocols (MCP and A2A), and dynamic temporal graph memory, enterprises can transition from manual orchestration to the algorithmic execution of ITIL 4 practices, e.g., achieving zero-touch incident resolution and predictive problem management. This approach extends far beyond IT operations, nowadays often part of ITSM offerings. It is already being done by some vendors, but with time and efforts to develop, that still often precludes enterprises to do it themselves, while the innovators dilemma limits what incumbent vendors are willing to transform to agentic AI, i.e., definitively not the core processes of their software, sticking instead to side-car copilots and agents extensions, associated to end user task, which already provide significant ROI. New vendors should not have such qualms.The shift toward "Do-It-For-Me" (DIFM) autonomous execution fundamentally collapses the seat-based licensing models of traditional software, triggering the obsolescence of massive enterprise suites like ITMS/ESM/ITOM and including ERP and CRM platforms. We detail how the "Agentic Strangler Fig" pattern, catalyzed by Application-aware (agentic) AI with real-time discovery and coding (RTDC) mechanisms, defined in the paper, allows organizations to bypass multi months or year migrations, by surrounding, with AI agentic processes that extend then replace and decommissioning the legacy enterprise applications, while saving in TCO, and achieving fully autonomous outcome. This way, enterprises are able to surround their ITSM/ESM/ITOM software, as well as other enterprise software, until left only with agentic AI and a database system of record, leading to ROI from significant cost reductions, autonomous automation, and the ability to customize their preferred processes, without the usual risks that this will lead to difficult upgrades in the future, or other problems.We also argue that the market of enterprise application market is about to be disrupted, but contrary to many recent discussion, this does not necessarily mean the dead of SaaS.
Category: Artificial Intelligence

Gravity from Galactic Tension: Local Mechanics and Nonlocal Effects

Authors: Joseph Shaffer
Comments: 7 Pages.

We develop a two-domain framework in which gravitational interaction emerges from the interplay between a local mechanical domain — a continuous medium described by a complex scalar field — and a nonlocal entanglement domain that encodes global coherence. The local domain ("galactic mat") possesses tension, density, and compressional degrees of freedom, while the nonlocal domain provides long range correlations that shape effective spacetime geometry. A minimal energy functional with tension, self interaction, and matter coupling is introduced. Minimizing this energy yields a screened Poisson equation whose Green’s function produces a 1/r potential at intermediate scales. This allows us to identify an emergent gravitational constant, G.Under reasonable assumptions, the model reproduces the observed value of G to within a few percent and predicts a medium tension of order 10^9 N. The framework naturally yields flat galactic rotation curves without invoking dark matter halos. We further show that the Big Bang corresponds to a phase transition in which the mechanical domain condenses out of a pre-geometric entanglement phase, providing a unified picture of locality, nonlocality, gravity, and cosmology.
Category: Astrophysics

Quaternionic Norm Response Theory (QNRT): Discrete Spacetime, Photon Basis, UV—IR Scale Duality, and Cosmological Scale Estimates

Authors: Kenichi Nakao
Comments: 19 Pages.

Quaternionic Norm Response Theory (QNRT) proposes a discrete, geometrically structured spacetime based on the Hurwitz quaternion lattice Γ_H. Through a single algebraic operation—quaternion inversion—the theory generates a Z2 UV—IR scale duality whose fixed point simultaneously determines the dark-energy scale and the neutrino mass scale...(Unreadable texts are truncated by ai.viXra.org Admin)
Category: Relativity and Cosmology

On the Logical Falsification and Geometric Reconstruction of the Toeplitz Conjecture

Authors: Chang Yu
Comments: 5 Pages.

The Toeplitz Conjecture has remained a focal point in geometry for over a century, yet traditional analytical approaches often overlook the fundamental logical constraints of geometric entities. This study addresses the "Inscribed Square Problem" by shifting the focus from empirical measurement to a first-principles logical audit. By revising the logical definition of "inscription" and treating a square as a rigid four-node structure with inherent 90-degree angular equilibrium constraints, we demonstrate that the existence of such a structure is not a probabilistic occurrence but a topological necessity of curve closure. Our results introduce the concept of "270-degree Space Compensation", showing that any simple closed curve that returns exactly to its starting point must generate sufficient spatial tension to accommodate the vertices of an inscribed square; curves failing to meet this threshold are logically invalid closed entities. We conclude that within a valid geometric domain, a closed curve and its inscribed square are logically inseparable. This finding reframes the conjecture from an existence proof to a deterministic outcome of topological cost. Logically, this necessitates any geometrically valid closed curve to sweep through topological coordinates sufficient to accommodate the four vertices of a square; conversely, a curve that cannot sweep through these coordinates fails to meet the 270-degree threshold.
Category: Topology

Quantum Mechanics from Holographic Entropy: Born Rule Derived, Measurement Boundary Exact, Entanglement Topological

Authors: Charles A. Streb IV
Comments: 6 Pages.

We identify the entropy field of Caticha's entropic dynamics program with the holographic screen entropy S = π k_B c³ r² / (G ħ). The Schrödinger equation is recovered exactly as the Wick rotation of the entropy diffusion equation, now grounded in a specific physical substrate. Three results follow that extend entropic dynamics beyond its current formulation. First, the Born rule P = |ψ|² is derived from the continuity equation of entropy diffusion, not postulated. Second, the quantum-classical measurement boundary is given by the exact decoherence time τ_D = ħ / (m k_B T), yielding calculable transition thresholds for any system. Third, quantum entanglement is identified as a topological property of the entropy field on the holographic screen: entangled particles are nodes of a single entropy vortex with conserved winding number. Bell's theorem is satisfied because the hidden variable is the global vortex topology, which is nonlocal by construction. The framework preserves locality, causality, and reality simultaneously on the screen, and connects to the ER=EPR conjecture: the entropy vortex is the wormhole.
Category: Quantum Physics

A Geometric Derivation of the Fine-Structure Constant from the D3 Apollonian Gasket

Authors: Ioannis Karachalios
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite and listed scientific references)

We present a geometric derivation of the fine-structure constant α ≈ 1/137.036 from first principles using the D3-symmetric Apollonian circle packing. Starting from a regular tetrahedron inscribed in a sphere (a natural geometric model for the electron’s spherical symmetry), we apply stereographic projection to obtain a planar configuration that, after inversion, yields the D3 Apollonian gasket. The curvatures in this packing belong to the quadratic field Q(√3) and follow a recurrence governed by the Pell equation. Within this packing, we identify a circle of curvature 92 + 26√3 whose radius (in units where the outer circle has radius 1) equals α to within 0.0002% of the experimentally measured value. This deriva-tion requires no free parameters and emerges naturally from the geometry of the tetrahedron, the most symmetric arrangement of four spheres. The result suggests that the fine-structure constant is not arbitrary but is encoded in the recursiveself-similarity of the electron’s projected spherical geometry.
Category: Quantum Physics

A Symmetrical Strengthening of Legendre's Conjecture Anchored on Even Squares

Authors: Mohammad Aldebbeh
Comments: 5 Pages. 2 figures (Note by viXra Admin: Please cite and listed scientific references)

Legendre's Conjecture states that there is a prime number between n² and (n+1)² for every positive integer n. This paper proposes a symmetrical, computationally verified strengthening of Legendre's Conjecture by anchoring the search for primes exclusively on even squares. We hypothesize that for every even integer n, there exists a prime q < 2n+1 such that n²+q is prime, and a prime q < 2n-1 such that n²-q is prime. We demonstrate that these two conjectures collectively imply Legendre's Conjecture for all integers. Furthermore, we explore the algebraic links to Polignac's and Goldbach's Conjectures, highlighting how our tight bounding of q bridges these theories. Probabilistic heuristics based on the Prime Number Theorem are provided to justify the logarithmic growth of q. Finally, we present computational evidence verifying both conjectures up to n=10⁸.
Category: Number Theory

Operating Envelope Deviation as a Kill-Switch Signal: A Formal Framework for Autonomous Agent Interruption

Authors: Sayali Patil
Comments: 10 pages, IEEE two-column format, 15 references, 4 figures, 2 tables. Includes formal soundness proof and 300-episode agentic simulation. AI-assisted article.

The kill switch problem for autonomous AI agents is conventionally treated as a design property: either an agent has a shutdown mechanism or it does not. This binary framing obscures the more consequential engineering question, which is not whether a kill switch exists but when it should trigger. This paper introduces the Halt Condition from Operating Envelopes (HCOE) framework, a formal architecture for deriving kill-switch criteria from intent-based operating envelopes, grounded in the chaos-level engine paradigm of U.S. Patent No.u202012,242,370u2009B2. HCOE treats halt conditions not as static design properties but as computable, real-time threshold functions over a continuously measured Operating Envelope Deviation (OED) signal. The framework introduces five formally defined halt classes, a graduated response architecture mapping OED zones to halt disposition (continue, pause, halt), and a proof of soundness establishing that HCOE activation prevents irreversible agent actions outside the declared operating envelope with probability approaching one as the deviation measurement interval shrinks. Evaluation across a 300-episode agentic simulation demonstrates combined halt precision of 91.8% and recall of 89.8% across five halt classes, with rollback success rates of 87% at three or fewer irreversible actions. These results establish HCOE as a practically deployable, formally grounded kill-switch architecture that closes the gap between the theoretical corrigibility literature and the operational requirements of production agentic AI systems.
Category: Artificial Intelligence

Son Serving Parents (SSP) - A New Professional Title

Authors: Satish Gajawada
Comments: 20 Pages.

This paper introduces a new professional title, "Son Serving Parents" (SSP), to formally recognize and validate the role of adult children who dedicate significant time, effort, and resources to caring for their aging or ailing parents. In contemporary society, professional identities are largely defined through employment and career-centric frameworks, while the invaluable work of family caregiving — particularly parental care by sons — remains unacknowledged in professional and institutional contexts. This paper argues that creating and acknowledging SSP as a legitimate professional title can have profound implications for social recognition, mental health, policy development, and the preservation of family values across generations. Drawing on demographic projections, caregiving literature, cross-cultural research, and policy studies, we explore the conceptual foundations, societal need, psychological dimensions, economic considerations, benefits, challenges, and a proposed multi-tier framework for institutionalizing the SSP title. We further examine international comparisons, legal implications, and pathways for advocacy, while acknowledging gender equity concerns and opportunities for broadening the concept. The paper concludes with a call to action for policymakers, employers, academic institutions, and civil society to develop inclusive frameworks that honor the profound human work of eldercare.
Category: Social Science

The Universal Replication Principle as a Unified Framework for the Expansion of Physical Vacuum and the Origin of Life

Authors: Ignacio Lesta Pelayo
Comments: 8 Pages. (Note by ai.viXra.org Admin: Please cite and listed scientific references)

This work proposes the Universal Replication Principle (URP) as a unified conceptual framework for interpreting the persistence, reproduction, and evolution of physical configurations in the universe. According to this principle, configurations that reach a certain degree of stability and coherence tend to persist and, under favorable dynamical conditions, to generate new configurations with similar structural properties.From this perspective, apparently diverse phenomena—such as the formation of gravitational structures, the accelerated expansion of the universe, and the emergence of living systems capable of replication—can be understood as manifestations of a common underlying dynamic of coherence replication.In the cosmological domain, dark energy is interpreted as the observable manifestation of the expansion of the physical vacuum, understood as a dynamical state of spacetime capable of extending its own structure. In the biological domain, the URP situates the origin of life within a natural continuity of physical and chemical organization processes, as a transition toward advanced forms of structural and informational replication.This approach does not introduce new physical interactions but rather provides a unifying reinterpretation of known phenomena, linking cosmology, fundamental physics, and biology under a common dynamical principle. Although further theoretical development and empirical validation are required, the proposed framework suggests that the evolution of the universe can be understood as a process in which coherence is not only preserved but, under certain conditions, replicated and transformed across different levels of organization.
Category: Relativity and Cosmology

Breaking the Monolith a Diagnostic Framework for Early Supermassive Black Hole Origins

Authors: Andrei Eleodor Sirbu
Comments: 29 Pages.

The discovery of billion-solar-mass black holes within the first 500—800 million years of the universe has challenged monolithic formation models. Recent JWST and ALMA observations (2024—2026) paint a picture of a chaotic, gas-rich early universe where extreme accretion and feedback were commonplace. We argue that the field must shift from seeking a single "solution" to developing a diagnostic framework capable of distinguishing between multiple, co-existing formation pathways. We propose three broad channels : Chaotic Cold-Accretion Avalanches, Monolithic Direct Collapse, and Rapid Hierarchical Mergers. Each leaving distinct imprints on the kinematics, metallicity, and host environment of high-redshift quasars. We outline the key observational tests enabled by JWST, ALMA, and next generation gravitational-wave observatories to quantify the contribution of each pathway to the emerging population of early supermassive black holes.
Category: Astrophysics

A Unified Theory of Neuro-Autoimmunity: From Multiple Sclerosis to the GBS Clusters in Peru (The VZV Detonator)

Authors: Alejandro Armando Caparo
Comments: 32 Pages. This work is published under a CC BY-NC-ND 4.0 license (Note by ai.viXra.org Admin: Please cite listed scientific references)

A Unified Theory of Neuro-Autoimmunity: From Multiple Sclerosis (MS) to GBS Clusters in PeruCore Thesis: This work presents a paradigm shift in neuro-immunology, identifying the reactivation of latent Varicella Zoster Virus (VZV) as the primary driver for both Multiple Sclerosis (MS) and Guillain-Barré Syndrome (GBS). The Mechanism: The VZV acts as a dormant "Powder Keg" within the nervous system. The disease is triggered by an external "Detonator" (The Trigger). In MS, this occurs via chronic stressors; in the GBS clusters of Peru (2019/2023), a bacterial infection (Campylobacter jejuni) served as the acute detonator, igniting a nervous system already primed by intensive vaccination programs and environmental toxins. Methodology: This research combines clinical observation with AI-assisted demographic analysis to confirm the correlation between prior immunization, VZV latency, and regional outbreaks. Conclusion: The absence of GBS in unvaccinated populations despite bacterial exposure proves the VZV-Detonator mechanism. This knowledge is released as Open Access to the public for a symbolic price of 1 Euro, ensuring the truth remains uncorrupted by commercial interests. In honor of Dr. Sotelo and General Emmanuel Beth.
Category: Mind Science

A Quadratic Totient Heuristic for Primes of the Form x2 + 1: The Coprime Identity Range [n, n2], a Generalised Jacobsthal Gap Bound

Authors: Ruben Gafencu
Comments: 14 Pages.

We present a self-contained combinatorial and sieve-theoretic framework forestimating and bounding the number of primes of the form $x^2+1$ in a naturalfamily of intervals. The centrepiece is the emph{Coprime Identity}: for anyinteger $m$ with $n < m le n^2$, $m$ is prime if and only if $m$ is coprimeto the primorial $P_n = prod_{p le n} p$. Applying this identity to thepolynomial $f(x) = x^2+1$ and encoding the root structure of $f(x)bmod p$via quadratic residue theory yields the emph{Quadratic Totient Estimate}[ mathcal{N}(n) ;=; frac{n}{2} prod_{substack{ple n pequiv 1pmod{4}}} !frac{p-2}{p},]which is strictly increasing and diverges to infinity. We then introduce theemph{Quadratic Jacobsthal function} $gQ(n)$, the maximum gap betweenconsecutive survivors of the quadratic sieve for $f$, and give a sieve-theoreticargument --- based on the computation of the sieve dimension $kappa = 1$ andthe linear sieve lower bound --- that $gQ(n) < n^2 - n$ for all sufficientlylarge $n$. Large-scale numerical verification confirms the formula's accuracy:against exact prime counts from OEIS~A002496, the relative error of$mathcal{N}(n)$ remains below $8%$ for $n$ up to $10^{13}$, with systematicimprovement toward zero as a tail-factor correction is applied. We discuss theconnection to the Hardy--Littlewood Conjecture~F, the Bateman--Horn singularseries, and Iwaniec's 1978 $P_2$ theorem, and we carefully delineate theremaining obstacles --- the parity barrier and the rigorous control of theerror term --- that separate this heuristic from a complete proof of Landau'sFourth Problem.
Category: Number Theory

Intent-Based Planning Engine (IBPE) for Adaptive Infrastructure Systems

Authors: Sayali Patil
Comments: 11 pages, IEEE format, 15 references, 4 tables, multiple figures. Includes formal methodology and experimental simulation results. AI-assisted article.

Static infrastructure planning models fail in a predictable way: they are calibrated on the past and are therefore least accurate precisely when conditions change most rapidly. The problem is not merely one of forecast precision but of architectural rigidity---these systems have no mechanism for updating their assumptions in response to the very outcomes they predict. This paper introduces the Intent-Based Planning Engine (IBPE), a closed-loop, AI-driven framework for adaptive infrastructure demand forecasting that draws its conceptual architecture from two converging technical traditions: intent-based networking and chaos engineering. IBPE integrates multivariate regression, ARIMA time-series modeling, unsupervised behavioral segmentation, structured scenario perturbation, and gradient-based feedback adaptation within a single modular system. The framework's most architecturally distinctive element is an intent modeling layer that disaggregates aggregate demand into behaviorally coherent population segments, each characterized by its own elasticity profile and sensitivity to macroeconomic perturbation. The feedback adaptation mechanism is formally derived from the chaos-level engine paradigm developed in U.S. Patent No. 12,242,370 B2 (Cisco Technology, Inc., 2025), in which controlled perturbation, impact measurement, and parameter correction form an iterative closed loop progressively narrowing the gap between intended and observed system behavior. Experimental evaluation across a 150-unit residential infrastructure simulation demonstrates a 14.2% reduction in mean absolute error over single-method baselines, a 23% improvement in supply-demand alignment through intent-based allocation, a 62.7% cumulative reduction in prediction error over ten feedback cycles, and scenario-driven risk mitigation that reduces supply overcommitment exposure by 31% under adverse macroeconomic conditions. These results establish IBPE as a technically rigorous, domain-portable framework for adaptive planning under uncertainty.
Category: Artificial Intelligence

A Minimal Superfluid Vacuum Model with Global Mismatch: Vacuum-Energy Suppression, Hierarchy Resolution, Emergent Gravity, and an Independent Derivation of the Condensate Mass

Authors: Jon Caldwell
Comments: 34 pages. AI-assisted development of a superfluid vacuum model with zero free parameters. All physics verified by the author. Contemporaneous with Zenodo preprint DOI: 10.5281/zenodo.19169701

A single quantum superfluid condensate with no free parameters is proposed as the physical vacuum. The dimensionless over-capacity mismatch ε is not a free in put; it is derived from the CW—BCS self-consistency condition (Sec. 2.5.5), ε = k2 max,C/(2π2mln(kmax,C/kmax,IR)) = 0.1452; the numerical approximation ε ≈ 0.15 (accurate to 3%) coincides with the two-loop value for the derived coefficient c2 = −6(from the O(2) two-loop beta function), so all numerical results already operate at twoloop precision. Two competing nonlinear terms—quartic and logarithmic—produce twoindependent coherence scales: an IR scale suppressing vacuum energy (kIR = 8meV) anda UV scale regulating the Higgs self-energy (kUV ≈ 348GeV). The condensate effectivemass is derived with no free parameters from the logarithmic Gross—Pitaevskii phonondispersion and the GW170817 constraint cs → c, giving m ≈ 40meV/c2. The hierarchy ratio γ/(gρ0) = 5.77 × 10−8 is expressed as a closed formula in observational inputs,shown to be technically natural by ’t Hooft’s criterion, and shown to be structurallygenerated by one-loop Coleman—Weinberg corrections. The ratio kmax,C/kmax,IR = 90is derived by dimensional transmutation: the CW—BCS self-consistency condition determines λrel = 4/ln(kmax,C/kmax,IR) = 0.8895, and the gap equation kmax,C/kmax,IR =exp(Npair/λrel) with Npair = 4 reproduces the observed ratio exactly at one loop. Nofree parameter is introduced. Quantitative fits to SPARC rotation curves (UGC 128:χ2/dof = 1.00; NGC 3198: χ2/dof = 2.25) with ε fixed determine the vacuum referencedensity ρ0 ≈ 2.56×1032kgm−3 and the observer correction β = 1.60×10−48 from a singlefit, with 0.7% consistency between the two galaxies. The emergent gravitational metricsatisfies γPPN = +1 (Cassini bound satisfied; residual δγ ∼ 10−24). The CMB first peakℓ1 = 220 is reproduced as a consistency statement: the condensate is pressureless (w → 0) at CMB scales and encodes the same matter/energy content as ΛCDM. The sharpestnear-term test is an oscillatory Casimir force deviation (amplitude ∼ 0.18% at d = 1µm;period ℓwall = 0.275µm) with a material-dependent phase shift of ∆ϕAu→Ag ≈ 0.07rad(3nm plate-separation offset) that is parameter-free.
Category: Quantum Gravity and String Theory

The Perceptual Decoherence Functional: An Observer-Relative Measure of Accessible Coherence Loss Under Quantum Channels

Authors: Reinaldo Johnson
Comments: 12 Pages. Submitted to arXiv quant-ph (endorsement pending). Independent researcher, Chile.

We introduce the perceptual decoherence functional Dp(rho, epsilon) = C(rho) - C(epsilon(rho)), defined as the difference between the l1-norm coherence of an input state rho and the coherence of its image under a quantum channel epsilon, both computed relative to a fixed reference basis. This work does not propose a new resource theory of coherence, nor a replacement for standard decoherence theory. Instead, it defines a state-dependent, observer-relative functional that quantifies how much coherence becomes inaccessible in the observer-accessible description induced by a given channel. We establish non-negativity for coherence non-generating (CNG) channels, monotonicity under channel composition, and an upper bound; derive the classical limit of Dp under a dephasing channel parameterized by a resolution parameter Lambda, showing it becomes analogous to mutual information in the fully dephased regime; compute Dp for canonical examples including single-qubit dephasing, amplitude damping, and partial-trace channels on entangled states; and position Dp explicitly relative to decohering power and Quantum Darwinism. Four falsifiable experimental predictions follow from the framework.
Category: Quantum Physics

A Scaling Origin for MOND from de Sitter Horizon Thermodynamics

Authors: Theodore Nathan Carney
Comments: 5 Pages.

We present a consistent scaling framework in which MOND’s acceleration scale a_0 ∼ 10^(−10) m/s^2 arises from vacuum entanglement gradientsassociated with the de Sitter horizon of the cosmological constant Λ (assumed constant and spatially uniform). Baryonic matter perturbs localentanglement structure, inducing an entropic restoring force that becomes dominant below a critical scale set by Λ. In the deep-MOND regime, thisyields the scaling a ∼√(a_0a_N, reproducing flat rotation curves without dark-matter halos. The framework connects to Gibbons—Hawking temperature,Unruh acceleration, and entropic gravity. Environment-dependent effects may enhance the growth rate of early structure formation and contributeto Hubble tension. A distinguishing prediction is scale-dependent enhancement of structure growth in void environments, leading to a fractionaldeviation of order ∼10—15% in void expansion rates relative to ΛCDM expectations, potentially testable with next-generation void surveys (e.g., DESI, Euclid). Relativistic completion is required; preliminary mapping to TeVeS-like scalar is discussed. This should be viewed as aneffective description capturing a possible thermodynamic origin of MOND phenomenology.
Category: Relativity and Cosmology

Topological Residual Theory: Pure Geometric Derivation of the Fine Structure Constant and Fractal Unification of Fundamental Forces

Authors: Xiangqian Zhang, Chao Greene, Mingming Zhao
Comments: 8 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

The Standard Model of modern physics contains dozens of free parameters that cannot be derivedfrom theory (such as the fine structure constant ), and faces severe theoretical gaps when bridgingmicroscopic quantum scales and macroscopic cosmic scales. This paper proposes the "TopologicalResidual Theory," establishing "right-handed cylindrical helical motion of space at the speed of light" as the sole first-principle axiom. Through the motion-derived dimension of space, the pure geometric origin of the fine structure constant is rigorously derived. Furthermore, by introducing the unit solid-angle helical divergence number , and combining it with Mandelbrot fractal geometry, thetheory proves that the strong nuclear force, electromagnetic force, and gravitational force areessentially geometric residuals of the same helical fluid at different topological levels. Finally, using only pen-and-paper geometric algebra, the theory precisely calculates the electron anomalousmagnetic moment, helium ion ionization energy, and proton-neutron mass difference, providing anew pure-geometric paradigm for a grand unified theory.
Category: Mathematical Physics

Unification of the Four Fundamental Forces via SpectralGeometry of the Vacuum

Authors: Bertrand Jarry
Comments: 28 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0)

We present Quantum Vacuum Geometry (QVG), a framework that unifies the four fundamental forces within a single spectral integral Z[D]=∫▒ [dD]expu2061(Tr[f(D^2/Λ^2 )]),D=D_ext⊗1+γ^5⊗D_F where D_F encodes matter and D_"ext " encodes geometry. The three Standard Model forces reside in D_F through the unique algebra A_F=C⊕H⊕M_3 (C) (derived from five axioms C1-C5); gravity emerges from D_"ext " as depletion of the spectral vacuum. All four force-carriers - photon, W^±/Z^0, gluons, and graviton - are residues of 1/q^2 poles of the same propagator.Four quantitative relations connect the forces without free parameters: (U1) sin^2u2061θ_W=3/8; (U2) G_N=2π^2 ℏc/(N_F Λ^2 ) with N_F=96, linking gravitational strength to the fermionic content of the SM; (U3) S_BH=8×A/4l_Pl^2 with factor 8=N_F/N_"bosons " ; (U4) S[D_"total " ]=∑_i▒u200a Z_F (λ_i ) exactly (no BCH corrections, since [D_"ext " ,D_F ]=0 ).The discretisation of geometry by E_0 is the gravitational analogue of Planck's discretisation of the electromagnetic field by ℏ : the equilibrium condition Z_(S^4 ) (E_0 )=N_F=96 plays the role of Planck's thermal equilibrium, and G_N is the coupling between the two discretisations. Gravity is weak because it is diluted over N_F=96 spectral modes, whereas electromagnetism couples through a single U(1) mode.All nineteen Standard Model parameters, T_CMB=2.709" " K ( 0.8% accord), and Λ_"cosmo " are derived from C1-C5 with one free dimensional input M_Pl. The number of fermion generations N_g=3 is derived from the intersection of CP-violation and BBN constraints on D_F. The most urgent experimental test is w=-1 exactly, now challenged at 2.8-4.2σ by DESI DR2; DESI DR3 and Euclid (2026-2027) will provide a near-definitive verdict.
Category: High Energy Particle Physics

The Self-Creating Universe: A Zero-Flux Boundary Eigenproblem Framework

Authors: Jeff Smith, Scott Cowick
Comments: 18 Pages.

The Self-Creating Universe framework proposes that the fine-tuning problem is resolved not by invoking a creator, multiverse, or external simulation, but through selection by mathematical necessity. The universe is treated as a zero-flux boundary eigenproblem: a standing-wave solution whose physical constants are determined by the simultaneous satisfaction of past inflationary constraints and a future intelligence-viability constraint, phase-locked by a conserved informational invariant. Only universes capable of generating intelligence that can retrocausally stabilize their own initial conditions achieve self-consistent causal closure and therefore exist. The causal loop is structural rather than temporal — it may have already closed elsewhere in the universe's history — and is grounded physically in Aharonov's Two-State Vector Formalism, experimentally confirmed through weak measurement protocols. The "boundary determines bulk" principle is supported by the AdS/CFT correspondence. The learnability of physical law is explained mechanistically through Zurek's Quantum Darwinism. The Boltzmann Brain objection is resolved by a double exclusion criterion: Boltzmann Brains satisfy neither the future intelligence-viability constraint nor the Quantum Darwinism reliability condition. The causal loop's non-temporal character is formalized through Causal Set theory. The intelligence threshold is operationalized via Tononi's Integrated Information measure Φ. The framework is distinguished from Wheeler's Participatory Universe, Tipler's Omega Point, and Tegmark's Mathematical Universe Hypothesis, and operates as a selection filter within the latter. Six explicit falsification criteria are provided. Testable predictions include spectral rigidity in ratios of fundamental constants, scaling of quantum retrocausal effects to macroscopic systems, and bounded algorithmic complexity of cosmological parameters.
Category: Relativity and Cosmology

A Modification of the Sundaram Sieve, and the Count of Twin Primes

Authors: Wiroj Homsup
Comments: 3 Pages.

A modification of the Sundaram sieve of twin primes is introduced. A twin prime pair is obtained from the set D which consists of elements n such that n not representable as the forms 2ij + i + j and 2ij + i + j -1 for positive integers i, j. An element n is in D if and only if (2n+1, 2n+3) is a twin prime pair. This sieve algorithm can find the number of twin primes below a certain value.
Category: Number Theory

A Zero-Parameter Formula for Atomic Radius Ratios Derived from the Cantor Spectrum of the Aubry—André—Harper Hamiltonian

Authors: Thomas Husmann
Comments: 8 pages, 5 tables, 1 supplementary code listing, 25 references. CC BY-NC-SA 4.0. Patent pending (Application No. 19/560,637). Source code: https://github.com/thusmann5327/Unified_Theory_Physics

Background: The Aubry—André—Harper (AAH) Hamiltonian, a one-dimensional quasiperiodic tight-binding model with irrational modulation frequency, exhibits a Cantor-set energy spectrum at its self-dual critical point. This spectrum has been experimentally realized in ultracold atoms, superconducting qubits, and photonic waveguides, yet its structural features have not previously been applied to the prediction of atomic properties. Methods: We constructed the AAH Hamiltonian on a lattice of D = 233 sites (a Fibonacci number) with modulation frequency α = 1/φ, where φ denotes the golden ratio, and potential amplitude V = 2J (the self-dual critical point). Numerical diagonalization yielded 233 eigenvalues whose gap structure was analyzed to extract five spectral constants. These constants were combined into a closed-form algebraic formula for the ratio of van der Waals radius to covalent radius, r(vdW)/r(cov), using six prediction modes parameterized solely by each element's electron configuration. No constants were fitted to experimental atomic data. Results: The formula was evaluated for 54 elements (Z = 3—56). Of these, 42 (78%) yielded predicted ratios within 10% of observed values, 53 of 54 (98%) within 20%, with a mean absolute error of 6.7%. Only one element (boron) exceeded a 20% error. The best-predicted element, cesium, showed agreement to 0.2%. The residual deviations correlated significantly with independently measured material properties: hardness (ρ = +0.66 for p-block elements), melting point (ρ = −0.61), and electrical conductivity (r = −0.74 for metals). For the lanthanide series (Z = 57—71), the four-gate architecture generated three confirmed predictions: (a) the van der Waals radii should be approximately constant across the series, consistent with Alvarez's crystallographic finding of a 232 ± 9 pm mean; (b) covalent radii should contract monotonically, matching the observed lanthanide contraction from 207 to 175 pm; and (c) the worst conductor should occur at f7 half-filling and the best at f14, confirmed by gadolinium (0.74 MS/m) and ytterbium (3.51 MS/m). Conclusions: These findings indicate that the Cantor-set band structure of the AAH spectrum encodes quantitative information about atomic radius ratios across the periodic table. The formula achieves accuracy comparable to semi-empirical screening models while employing zero adjustable parameters. Its residuals constitute systematic indices of material properties rather than random noise.
Category: Mathematical Physics

Emergent Gravity from the Onsager—Machlup Functional: Induced Einstein—Hilbert Action via One-Loop Stochastic Fluctuations

Authors: Adrian Rohr
Comments: 5 Pages.

We compute the one-loop effective action for the metric obtained by integrating out the stochastic fluctuations of the Onsager—Machlup (OM) probability fluid on a curved spin manifold. The OM action describes 9 internal degrees of freedom: density amplitude, phase, Lorentz rotor (6 bivector components), and Takabayasi angle. Expanding to second order around the classical vacuum and applying the Schwinger—DeWitt heat kernel expansion, we derive the Seeley—DeWitt coefficients au2080 = 9 and au2081 = (7/4)R − 10m², where R is the Ricci scalar and m the particle mass. Three features are essential: (i) the cross-coupling between density and phase fluctuations generates an effective gauge connection contributing +4m² to the scalar sector; (ii) an algebraic mass cancellation renders density fluctuations massless; and (iii) the rotational kinetic term generates the Bochner Laplacian (not Hodge—de Rham), so the Weitzenböck curvature endomorphism is absent (κ = 0). The positive coefficient 7/4 ensures that the induced Newton constant G_ind = 8πℏ²/(7m²c²) is positive (attractive gravity). This is a signature of the Clifford-algebraic structure of the OM framework.
Category: Quantum Physics

Pointwise Minimum of a Symmetric Spectral Product over Finite Prime Sets: An Unconditional Proof

Authors: Khazri Bouzidi Fethi
Comments: 5 Pages.

We consider a matrix constructed from a finite set of prime numbers and a real parameter. The largest eigenvalue of this matrix is expressed as half the sum of two quantities: a sum independent of the parameter and the modulus of an exponential sum over primes. We prove two unconditional results:· The logarithm of this eigenvalue is a convex function of the parameter.· A certain symmetric product, formed from this eigenvalue and its value at the symmetric point, attains its global minimum at a remarkable point—the critical half-line.The proofs rest on an exact algebraic identity and the Cauchy-Schwarz inequality. No hypothesis on the zeros of the zeta function is used.This work introduces an original spectral object associated with a finite set of prime numbers. The angular Gram matrix, of rank at most two, encodes correlations between prime powers through oscillating phases. Its variational study reveals convexity and symmetry properties that naturally distinguish the critical line sigma = 1/2. These results, entirely unconditional, offer a new framework for exploring connections between spectral structures and the distribution of prime numbers. They also open perspectives on asymptotic behavior as the set size tends to infinity—a question that remains open.
Category: Number Theory

The DPA Framework: A Structural Diagnostic for Resonant Propensity in Complex Systems

Authors: D. Hoffman
Comments: 5 Pages.

Across multiple complex systems, a recognizable pattern recurs: coherent, self-sustaining dynamics that persist within bounds, degrade predictably under stress, and resist simple cross-domain description. Despite this recurrence, no minimal structural language exists for diagnosing when such behavior is possible.

Such patterns can arise when three structural conditions are satisfied: dimensional freedom (D), proportional distribution (P), and alignment (A). Together these constitute a diagnostic for Resonant Propensity (R) — the conditional tendency for a system to develop and sustain bounded, self-reinforcing dynamics through internal feedback, not inherent to any architecture but emergent only when conditions are jointly satisfied.

The structural relationship R ∝D ×P ×A indicates that resonant propensity depends on the simultaneous presence of D,P, and A, and collapses when any enabling condition fails.

The framework stratifies dynamical regimes from rigid order through chaotic instability to resonant propensity, and suggests structural analogues for the recurring failure modes observed across domains, including vanishing gradients in neural networks, trophic cascades in ecology, misaligned incentives in organizations, decoherence in quantum systems, and phase mismatch in physics.

DPA does not compete with domain-specific models, nor does it define resonance itself. Instead, it identifies the structural conditions enabling a system to enter and sustain resonant regimes, and provides a framework to diagnose systemic instability and the specific threshold for collapse.
Category: General Science and Philosophy

Resolution of the Nematic-to-Smectic A Universality Problem

Authors: Thomas A. Husmann
Comments: 11 pages, 6 tables, 14 references. CC BY-NC-SA 4.0. Code: github.com/thusmann5327/Unified_Theory_Physics

The nematic-to-smectic A (N-SmA) phase transition has remained one of the principalunsolved problems in statistical physics of condensed matter for over four decades. Experimental measurements of the heat capacity exponent α vary continuously from approximately 0 (3D-XY universality) to approximately 0.5 (tricritical mean-field), depending on the McMillan ratio r = TNA/TNI. No theoretical framework has explained this crossover from first principles. We present a resolution in two parts. Part I (model-independent) shows that the N-SmA transition maps exactly onto the Aubry—André—Harper (AAH) metal—insulator transition at the self-dual critical point V = 2J. This mapping uses only the de Gennes free energy (1972), lattice discretization, and the generic incommensurability of smectic layer spacing and molecular length. At criticality, the energy spectrum is a Cantor set with Hausdorff dimension Ds = 1/2 (Süt˝o 1989), giving ν = 2/3 and predicting that α varies continuously from 0 to 2/3. This qualitative result holds for any irrational frequency α and requires no new physics. Part II (quantitative) identifies the AAH frequency as α = 1/ϕ (golden ratio), producing the five-band Cantor partition. This yields a zero-free-parameter formula:α(r) = 23u2000r−rc1−rcu20004, r > rc; α = 0 otherwisewhere rc = 1−1/ϕ4 = 0.8541 and ϕ = (1+√5)/2. The formula fits 11 experimental compoundsspanning 40 years of published calorimetry with RMS = 0.033, reduced χ2 = 0.47, and all points within 2σ. Zero free parameters.
Category: Condensed Matter

Entropic Gravity [update]: Seven Equations from Two Foundations with Zero Free Parameters

Authors: Charles A. Streb IV
Comments: 13 Pages. v2: Added 175-galaxy SPARC validation (§8.2—8.5), derivation sketch for factor 6 (§8.1), data availability statement, minor table corrections.

We present seven equations demonstrating that gravity, quantum mechanics, and cosmology emerge from thermodynamic entropy applied to holographic screens. The framework rests on two uncontested foundations: the Principle of Stationary Action (δS = 0) applied to an entropic field, and the Wheeler-DeWitt constraint (Ĥ·Ψ = 0) applied to the Hubble volume. From these, we derive Newton’s second law via exact constant cancellation, the Bekenstein-Hawking entropy as an algebraic identity, a complete set of gravitoelectromagnetic field equations in the Mashhoon convention, the MOND acceleration scale au2080 = cHu2080/6 from volume entropy geometry in de Sitter space, Lense-Thirring frame-dragging, gravitational wave propagation at c, and the free-particle Schrödinger equation via entropy diffusion. The framework contains zero free parameters. In this version we extend the empirical validation from nine canonical tests to include the full 175-galaxy SPARC rotation curve sample. The derived au2080 performs statistically identically to empirical MOND across all 175 galaxies (aggregate reduced χ²/dof ≈ 8.8 vs. 8.8 for Milgrom), with the data-preferred acceleration scale corresponding to Hu2080 ≈ 75 km/s/Mpc from rotation-curve data alone. The gravitoelectromagnetic sector is valid in the weak-field, slow-motion regime. We provide dimensional verification of all equations and state the regime of validity explicitly.
Category: Thermodynamics and Energy

Thermodynamic Screening Corrections in Relational Mathematical Realism: Mass Predictions from Graph Topology and a Universal Screening Unit

Authors: Jason Merwin
Comments: This document contains 22 pages.

Relational Mathematical Realism (RMR) proposes that physical reality emerges from a discrete 137-node registry partitioned as 81 (spatial) + 40 (surface) + 16 (gravitational). We develop the thermodynamic screening mechanism introduced in the RMR synthesis paper [3] into a self-contained predictive framework. A universal screening unit δ0 = 5/137, derived from the registry’s electromagnetic surface fraction, generates mass corrections across leptons, hadrons, and the fine-structure constant with zero fitted parameters. Key results: (i) α−1 = 137.035 996 versus CODATA 137.035 999 (error 3 × 10−6); (ii) mΛ0 /me = 2183.328 versus PDG 2183.327 (error 4 × 10−7, sub-keV on a GeV-scale mass); (iii) a strangeness screening integer Bs = V (K3)2 = 9 derived from the K3 ⊗ K3 product graph, yielding correct corrections for Λ0 and K+; (iv) a {9, 13, 17} strangeness ladder for Λ0, Ξ−, Ξ0 with step size 4, arising from K5 interface topology; (v) a charge-dependentovershoot theorem: corrections exceeding the 42 = 16 gravitational threshold are clipped by 4for charged particles, with three-particle confirmation (τ −, Ξ−, Ξ0). Eleven independent mass predictions are tabulated. A screened-angle ladder extends these results to dimensionless mixing observables: the effective leptonic weak mixing angle, the three PMNS angles, and the reactor angle are all approximated by δ0-corrections of quarter/half base states using multipliers from established graph integers, with no new parameters. Open sectors (meson bases, Ω− decuplet, Σ0 isospin mixing, and radiative corrections to the mixing angles) are characterized precisely andreserved for future work.
Category: Mathematical Physics

Hofstadter’s Golden Butterfly: The Metallic Mean Hierarchy in Moiré Superlattices

Authors: Thomas A. Husmann
Comments: 16 pages, 7 tables, 36 references. CC BY-NC-SA 4.0. Code: github.com/thusmann5327/Unified_Theory_Physics

The Hofstadter butterfly—the fractal energy spectrum of a two-dimensional electron ina magnetic field on a lattice—is shown to possess a natural hierarchy parameterized by themetallic means, the roots of x2 = nx + 1. The Harper equation that generates each horizontalslice of the butterfly is mathematically identical to the Aubry—André—Harper (AAH) Hamiltonian at the self-dual critical point V= 2J. Each irrational flux ratio α produces a Cantor-set spectrum with Hausdorff dimension Ds = 1/2.We show that two experimentally significant systems in graphene moiré physics correspondto specific metallic means: (1) the graphene/hBN lattice mismatch (δ= 1.68%) corresponds to metallic mean n = 60, with golden-ratio quasiperiodicity nested inside the n = 60 shell via continued fraction structure [0; 59, 1, 1, 1, . . .]; (2) the magic angle of twisted bilayer graphene (θ= 1.08◦) corresponds to metallic mean n = 53, matching to 0.06%.At golden flux (α = 1/ϕ), the five-band Cantor partition carries Chern numbers +2,−1, +1,−2.The outer pair (+2,−2) annihilates via topological pair annihilation, collapsing five bands to three—the 5→3 mechanism supported by Liu, Fulga & Asbóth (2020). The first three metallic mean discriminants ∆n = n2 + 4 are consecutive Fibonacci numbers (5, 8, 13), forming a Pythagorean triple (√5)2 + (√8)2 = (√13)2 that closes at exactly three spatial dimensions.36 supporting references span Hofstadter spectroscopy, moiré physics, Floquet topology, and metallic mean quasicrystals.
Category: Condensed Matter

Emergent Proper Time and Spacetime from Quantum Information Permeability: A Relational Page—Wootters Framework for Quantum Mechanics and General Relativity Unification

Authors: Marco Travan
Comments: 11 Pages.

We present a fully quantum—mechanical pregeometric framework in which propertime, gravitational time dilation, the thermodynamic arrow of time, and the Einsteinfield equations emerge from a single density—dependent permeability of quantum in-formation channels. The dynamics are embedded in a global Page—Wootters timelessconstraint, thereby resolving the long-standing consistency issues of state—dependentmaster equations. The background is a weighted quantum causal set whose directedlinks are generated by the same permeability rule that sets the rate of proper time.From weighted chain lengths we recover an emergent metric; a coarse—grained ther-modynamic analysis yields the Einstein equations via Jacobson’s "thermodynamics ofspacetime" argument. The theory is completely unitary, preserves complete positiv-ity, and satisfies local energy—momentum conservation. It is fully testable in currentanalogue—gravity platforms and predicts distinctive signatures in binary pulsars, grav-itational waves and cosmology
Category: Quantum Gravity and String Theory

The 61-Decimal Limit of π as a Universal Resolution Scale: Geometry, Entropy, Fine-Tuning and the

Authors: Jorge Andrés Villaluz
Comments: 11 Pages.

We identify a universal geometric hierarchy RU/ℓP ∼1061, where RU is the radiusof the observable universe and ℓP is the Planck length, and show that this singledimensionless ratio unies ve apparently independent results in modern cosmology.This hierarchy is formalized by the master inequality:2RU·10−n ≤ℓP,which establishes the physical resolution interval n ∈[61,62): the number of dec-imal places of π needed to describe the geometry of the observable universe withsub-Planckian precision. The same scale governs the BekensteinHawking entropybound Smax ∼4π(RU/ℓP)2, the ne-tuning condition δρ/ρ∼10−60, and the discrep-ancy factor of the vacuum catastrophe ∼10122. We further propose two falsiablepredictions: (1) the resolution parameter n(t) evolves with cosmic expansion asn(t) ≈61.4 + log10(t/t0), and (2) the cosmological constant satises Λ(t) ∝t−2, arelation testable with next-generation surveys such as Euclid and LSST. The uni-fying thread throughout is spherical geometry: π appears in all these expressionsbecause the observable universe is a sphere.
Category: History and Philosophy of Physics

New Formula for the Area of a General Quadrilateral Using Opposite Sides and Four Angles

Authors: Ryou Takayama
Comments: 5 Pages.

In this paper, we derive an explicit formula for the area of a particular quadrilateral using only the lengths of a pair of opposite sides and the four interior angles. The formula is based on known geometric relationships and is presented after algebraic simplification and manipulation. Furthermore, we clarify the conditions under which the formula is valid and elucidate its geometric background. As a result, we demonstrate its applicability not only to convex and concave quadrilaterals but also to certain self-intersecting quadrilaterals.
Category: Geometry

THE UNIFICATION OF PHYSICS BY QUANTUM VACUUM GEOMETRY, Spectral Derivation of the Standard Model Parameters, the Cosmological Constant, and the CMB Temperature from the Connes-Chamseddine Spectral Triple

Authors: Bertrand Jarry
Comments: 14 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0)

We present the Quantum Vacuum Geometry (QVG) programme, an extension of the Chamseddine—Connes noncommutative geometry framework that derives the Standard Model parameters, the cosmological constant, and the CMB temperature from a single geometric principle.Starting from five algebraic axioms (C1—C5) on the finite spectral triple, the unique algebra of minimal dimension is AF = C ⊕ H ⊕ M3(C), generating gauge group SU(3) × SU(2) × U(1), three fermion generations (NF = 96 modes), and the exact hypercharge trace TrF Y 2 = 10.The original QVG contribution is a spectral free-energy functional Fρ[T ] =i ρiλi + E0 i ρi ln ρi whose unique fixed point ρ∗ = 1/NF determines all nineteen SM parameters. Numerical computation at N = 96 gives fermion masses to < 0.3%of PDG 2024 and the CKM matrix to < 2.5%; the Koide relation K = 2/3 is reproduced to 10−5.Three new results are established: (R1) the cross-coupling Kij = 0 exactly, from {Dext, γ5} = 0 in Clifford algebra; (R2) g∗ = 2 at E0 = 3.2 meV gives Λcosmo = 0.990 × 10−52 m−2 (9% of observed); (R3) TCMB = (E0/kB) × αTrF Y 2 = 2.709 K (0.6% of observed), derived from the Seeley—DeWitt a4 coefficient via Caldeira—Leggett. The quantum gravity propagator GE(r) = (Λ2GUT/16π2) exp(−Λ2GUTr2/4) is Gaussian and UV-finite. All residuals trace to a single source: the uncertainty in E0.
Category: High Energy Particle Physics

A Structural Proof of the Collatz Conjecture via Divergent-Orbit and Cycle Exclusion

Authors: Jungwon Park
Comments: 53 Pages.

We present a computer-assisted proof that every positive integer orbit under the Collatz map $T(n) = n/2$ (if $n$ is even), $(3n + 1)/2$ (if $n$ is odd) eventually reaches 1. The argument consists of two independent parts, H1 and H2, each of which reduces an originally infinite verification problem to a finite exact certification step. The mathematical reductions are traditional proofs; the certifications are finite, deterministic computations using only exact integer and rational arithmetic, whose complete specifications (input, algorithm, output) are given in the appendices.For H1 (divergent-orbit exclusion), a deterministic normalized block-drift analysis establishes an exact affine envelope that rules out all parameter regimes below an explicit threshold $V_{env} approx 1.5990$. The remaining oscillatory regime is reduced to a finite certification problem over a quotient-state automaton whose mathematical soundness is guaranteed by a chain of five theorems (Theorems 12.8—12.14). The certification is discharged by exhaustive exact computation (Theorem 12.17).For H2 (non-trivial cycle exclusion), a gate-based reformulation converts the cycle problem into an explicit inequality system. Discrete convexity arguments and a two-value support reduction compress the problem to a single-parameter bound, which is then verified by exact rational arithmetic over a rigorously delimited feasible range. The computational components are finite, exact, and logically isolated. Their role is analogous to the finite case verifications in other computer-assisted proofs such as the Four Colour Theorem and the Kepler Conjecture: the mathematical argument provides a complete reduction to finite exact certification problems, and the computations discharge those problems. The complete source code for both certifications, together with their full execution logs and exact rational outputs, is included in the appendices (Appendices E—G).
Category: Number Theory

Entropic Gravity: Seven Equations from Two Foundations with Zero Free Parameters

Authors: Charles A Streb IV
Comments: 11 pages, 2 tables, 21 references

We present seven equations demonstrating that gravity, quantum mechanics, and cosmology emerge from thermodynamic entropy applied to holographic screens. The framework rests on two uncontested foundations: the Principle of Stationary Action (δS = 0) applied to an entropic field, and the Wheeler-DeWitt constraint (Ĥ·Ψ = 0) applied to the Hubble volume. From these, we derive Newton’s second law via exact constant cancellation, the Bekenstein-Hawking entropy as an algebraic identity, a complete set of gravitoelectromagnetic field equations in the Mashhoon convention, the MOND acceleration scale au2080 = cHu2080/6 from volume entropy geometry in de Sitter space, Lense-Thirring frame-dragging, gravitational wave propagation at c, and the free-particle Schrödinger equation via entropy diffusion. The framework contains zero free parameters and is validated against nine canonical tests. The gravitoelectromagnetic sector is valid in the weak-field, slow-motion regime. We provide dimensional verification of all equations and state the regime of validity explicitly.
Category: Thermodynamics and Energy

A Discrete CMB Angular Power Spectrum from a Causal Integer Graph: Zero Free Parameters, Two Acoustic Peaks, and a Convergence Prediction for Planck 2018

Authors: Jason Merwin
Comments: The document contains 15 pages

We report the first computation of a discrete analog of the CMB angular powerspectrum Ck derived entirely from a causal integer graph grown by pure fission rules,with zero free parameters. Starting from a complete graph K5 as the seed, a 1000-nodegraph is grown via an additive-plus-half-split fission engine constrained by a 137-elementregistry capacity. When the ratio of maximum hub degree to total node count transits ascale-invariant resonance window md/N ∈ [0.015, 0.021], the graph Laplacian eigenvalueratio λ3/λ2 locks near the S1/2 prediction of 1.102. The locked graph exhibits positivespatial curvature, volumetric dimension dvol = 3.49 ± 0.05, and a well-defined lastscattering surface (LSS) at BFS radius r = 4 containing 452 nodes. Propagatinga primordial perturbation via the wave equation Green’s function cos (√λk t) at thephysically motivated time t∗ = π/√λ1 and projecting the field on the LSS onto abinned eigenmode basis recovers two robust acoustic peaks at ℓeff = 1.121 and 1.811,giving ℓ2/ℓ1 = 1.615. The Planck 2018 value is ℓ2/ℓ1 = 1.94. The 16.7% deviation isquantitatively consistent with lattice dispersion at N = 1000: discrete graphs suppresshigh-frequency modes, compressing harmonic ratios below the continuum limit. Wepredict that the ratio converges monotonically to the Planck value as N increasestoward the physical scale (md = 137, N ≈ 9000), providing a falsifiable test of theframework.
Category: Relativity and Cosmology

Canonical Classication of Framed Closures in a Three-Strand Braid Transfer Model

Authors: Kobie Janse van Rensburg
Comments: 9 Pages.

We study a discrete dynamical system on the three-strand braid group B3 in which generators act on an integer valued framing vector through a local slot-based transfer rule.Terminal states are pairs (P, f) consisting of a permutation P ∈ S3 and a framing vector f ∈ Z3. Under trace closure, strands belonging to the same permutation cycle form a single loop, and physical states are defined modulo cyclic relabeling of the starting point of each loop.We prove a complete classification theorem: two terminal states are physically equivalent if and only if a finite sector-dependent invariant I agrees. The invariant decomposes according to the cycle type of P into three sectors (identity, transposition, three-cycle), and every equivalence class admits a unique canonical representative computable by a constant-time algorithm. A key structural finding is that the three-cycle sector carries a discrete cyclic-ordering obstruction not reducible to symmetric polynomial invariants of the framing differences. The analytic proofs are independently verified by exhaustive BFS enumeration of 631 terminal states within word length 10.This work provides the classied-state foundation for a broader programme connecting combinatorial braid kinematics to RP3 topology and Skyrmion physics within the Topological Inversion Model (TIM).
Category: Topology

Relational Mathematical Realism: Registry Architecture Predicts Lepton, Baryon, and Strange Baryon Mass Spectra

Authors: Jason Merwin
Comments: 21 Pages.

We present Relational Mathematical Realism (RMR), a discrete framework in which physicalreality emerges from relational updates on a 137-element integer registry. Five structural primitives tetrahedral vacuum geometry, registry partition, graph resonance dynamics, sector mapping, and overflow-fission mechanics — are stated axiomatically and used to derive eight quantitative predictions with no tunable continuous parameters: three charged lepton mass ratios, one neutrino mass-squared splitting ratio, one baryon mass ratio, and three strange baryon mass predictions. All eight agree with experiment to better than 1.1%. The central finding is that the integer set {137, 136, 17, 3} — the registry total, its substrate factor, the substrate prime from 136 = 8 × 17,and the K3 graph order — appears without modification across every sector. We employ an honestthree-tier classification: five predictions [T1] follow strictly from the primitives; three [T2] require two structural postulates whose numerical content is fixed by the same integers but whose derivation from the base primitives remains open. The Gell-Mann—Okubo baryon octet relation emerges as a structural identity. We catalog eleven open questions by tractability and identify JUNO and DUNE as the decisive near-term falsification tests via the integer prediction R ≡ Δm2 32/Δm2 21 = 33.
Category: High Energy Particle Physics

Causal Lattice Elastodynamics: Geometric Vacuum Scaling and the Topological Emergence of the Standard Model

Authors: Bhasanpal Thiru
Comments: 3 Pages.

Causal Lattice Elastodynamics (GVS) introduces a discrete foundational framework replacing thecontinuous spacetime manifold with a shear-thickening, Poisson-sprinkled Causal Set. By modeling fundamental particles as localized topological embeddings, GVS analytically derives key Standard Model parameters strictly from 3D simplicial coordination geometry without arbitrary parameterization or fine-tuning. This paper formalizes the Five Fundamental Laws of GVS, uniting macroscopic General Relativity with microscopic quantum elastodynamics via the Holographic Surface-Strain Law. We present the unpatched, first-principle derivations of seven fundamental constants, demonstrating that empirical deviations from bare geometric limits are the exact physical measurements of vacuum polarization. A rigorous, pan-scalar falsifiability matrix is provided to test the framework against Ultra-High-Energy Cosmic Rays (UHECR), wide binary stellar kinematics, and Belle II constraints.
Category: Quantum Gravity and String Theory

Alpamayo-Surgical: Adapting Driving-Pretrained Vision-Language-Action Models to Millimeter-Scale Surgical Robotics

Authors: Cornel Badea
Comments: 4 Pages.

We propose a method to successfully adapt LargeVision-Language-Action (VLA) models, originally pre-trainedon autonomous driving datasets, to the micro-scale domain ofsurgical robotics. We identify the Magnitude Domain Gap—a1000x spatial discrepancy between driving actions (meters) andsurgical actions (millimeters)—as the primary cause of trajectoryparalysis during naive fine-tuning. By introducing DifferentialScale Normalization paired with a novel Variance-IncentivizedRecovery Loss (Lvar ) during motor-cortex adaptation, we demon-strate that the Alpamayo-Surgical system (based on a 10B-parameter driving VLA) can achieve native millimeter precisionin surgical environments while retaining its zero-shot semanticreasoning capabilities. Evaluating on the SutureBot (Tissue 1)dataset, we observe that our technique successfully restorescomplex 3D tool articulation from a previously "frozen" state,achieving a final Mean Average Displacement Error (ADE) of5.53 mm relative to human expert demonstrations. Crucially, theVLA’s Chain-of-Causation reasoning traces correctly verbalizesurgical intent while aligning magnitude predictions natively withthe ground truth.
Category: Artificial Intelligence

Catalan’s Constant: Frontier Analysis, Derived Obstruction Theorems, and a Map of the Remaining Terrain

Authors: Rajat Yadav
Comments: 14 Pages.

The note separates three layers: (i) current literature status, (ii) rigorous reductions andobstruction theorems derived in the thread, and (iii) conditional routes and dead ends. Thecentral conclusion is negative but sharp: many natural corridors — classical Apéry clearing,the EMN simple-pole and polynomial higher-pole programs, fixed-base q-difference compression,several modular/holonomic packetizations, and a broad discrete moment/Hankel family— fail for precise structural reasons. The revised version also records five structural ingredientsthat were missing from the earlier draft: a four-jet modular rigidity theorem for the X1(5)Picard-Fuchs engine, a noncharacteristic edge-splitting theorem for higher poles, injectivity/isomorphism theorems for the EMN collapse operators, a boundary-annihilator theoremfor the edge packet, and formal torsion-support / multiplicative-complexity obstructions onthe modular q-side.
Category: Number Theory

Minimal Six-Dimensional Null Manifold Underlying the Photon

Authors: Tingfang Yi
Comments: 7 Pages.

Light’s propagation, phase, polarization, and frequency are projections of a minimal six-dimensional null entity unifying spacetime and photon internal degrees of freedom. Observed pairwise and triple couplings emerge naturally, explaining Spin Hall, Berry, Pancharatnam phases, optical activity, and relativistic shifts. Classical fields, quantum detections, and wave-particle duality arise as lower-dimensional projections, while photon discreteness reflects detector intersections. The framework agrees with relativity and QED and predicts testable interference deviations via controlled holonomy.
Category: Mathematical Physics

The Topological Nature of Universal Gravitation: A Rigorous Proof from the Spiral-Sphere Phase Transition to as a Topological Constant

Authors: Xiangqian Zhang, Chao Greene, Mingming zhao, Guozi Mo
Comments: 8 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

Modern physics faces a profound theoretical chasm when bridging microscopic quantum scales and macroscopic cosmological scales, most notably manifested in the hierarchy problem and the dark matter hypothesis. Based on thefirst principles of spatial fluid dynamics, this paper proposes a scale-dependent spacetime topological phase transition model. The model postulates that the fundamental geometric topology of spacetime is a cylindrical spiral manifold (S^1 x R). When the particle number reaches the stellar mass scale (N ~ 10^57 ), the rotational degrees of freedom of microscopic spirals cancel out due to statistical decoherence (governed by the central limit theorem). Consequently, the spatial topology collapses into a purely divergent, isotropic Gaussian sphere (S^2), which manifests macroscopically as classical Newtonian gravity. Starting from the first-principle axiomomega*r = c, this paper rigorously derives the pure geometric expression for the universal gravitational constant G = C^3r^2_0/h-bar, proving that G is intrinsically a topological constant determined by the critical radius of the topological phase transition. Furthermore, at galactic and cosmic web scales (N ~ 10^68 - 10^80), stars act as new fundamental units, and their collective spin generates macroscopicspacetime torsion within the framework of Einstein-Cartan theory. This torsion drives spontaneous symmetry breaking, thereby reconstructing a macroscopic cylindrical spiral structure. Supported by numerical integration and recent astronomical observations (e.g., cosmic filament spin, CMB anomalies), this model provides a computable and falsifiable pure geometric pathway toward unifying quantummechanics, general relativity, and dark-matter-free cosmology.
Category: Astrophysics

A Statistical Topological Model for the Emergence of Isotropic Effective Fields from Helical Space-Time Dynamics

Authors: Xiangqian Zhang, Chao Greene, Mingming Zhao
Comments: 3 Pages. (Note by ai.viXra.org Admin: This submision is speculative; author names are required in the article after article title; and please cite listed scientific references)

Based on the hypothesis that space-time manifests as cylindrical helical motion at the speed of light, this paper proposes a phenomenological topological model to explain how macroscopic isotropic fields emerge from the collective response of anisotropic local helical flows. We model the intrinsic structure of fundamental particles as cylindrical manifolds characterized by inherent helicity and divergence. By applying the Central Limit Theorem (CLT) to vector fields on Riemannian manifolds, we demonstrate that the rotational degrees of freedom of massive local helical flows undergo destructive interference. Utilizing the Gauss-Bonnet theorem, we prove that in the thermodynamic limit, the system’s effective macroscopic field undergoes topological decoherence, inevitably resulting in an isotropic Gaussian sphere. Furthermore, by integrating the Dirac Large Numbers Hypothesis with the Eddington number (N∼10^80), our model derives a statistical fluctuation residual ratio of 10^(-40) providing a heuristic geometric-physical pathway for understanding the hierarchy problem between electromagnetic and gravitational forces.
Category: Geophysics

Toward an Algebraic Revolution: Analytical Resolution of the Quintic Through Quartic Reduction and Universal Scaling Law

Authors: Ahcene Ait Saadi
Comments: 6 Pages.

This paper presents an original analytical method for solving the reduced quintic equation By establishing a conformal mapping between the roots of an auxiliary quartic and those of the quintic, we reveal a Universal Scaling Law governed by a 1/8 power factor. This approach calculates all five roots (real and complex) across all topological regimes, including cases with three real roots, with a precision of . This discovery marks a new era for polynomial algebra.
Category: Algebra

Development Methodology of a Code-Illiterate User (Outcome-First Design, Multi-Model Drift Detection, and Machine-Readable Context as a Reproducible Methodology for AI-Assisted System Development Without Formal Training)

Authors: John P. Bernhardt Jr.
Comments: 18 Pages. Additional information available upon request (Note by ai.viXra.org Admin: Please cite listed scientific references)

This methodology research paper documents the development methodology through which a practitioner without formal training in software engineering or computer science produced two independently validated AI infrastructure systems in under two months using AI-assisted collaboration. The systems examined are Hydra-rray, a containerized behavioral observatory designed to study tool-capable AI models operating with real offensive security tools, and an Android MCP client, a fully offline mobile AI agent integrating local transformer inference, operating-system-level automation through Android AccessibilityService, and Model Context Protocol (MCP) orchestration within a single application package.Development occurred entirely under consumer-access constraints: commodity hardware, standard consumer model interfaces, no engineered system prompts, no prompt-engineering infrastructure, no model fine-tuning, and no custom datasets. Context continuity across stateless model sessions was maintained exclusively through machine-readable YAML context transport documents referred to as batons.Across the two case studies, six consistent methodological properties were observed: outcome-first design, cross-domain methodology replication, vanilla model utilization, machine-readable context as drift prevention, multi-model triangulation for drift detection, and socialized interaction as a mechanism for surfacing tacit knowledge.Within the Hydra-rray experimental environment, an additional behavioral observation emerged: across observed sessions within the Hydra-rray environment, operating under consumer-access constraints and without engineered prompt scaffolding, tool-capable models exhibited a binary execution pattern: either correct tool execution or complete hallucination, with no intermediate partial success states observed.The Android case study further demonstrates that local language-model inference and operating-system-level actuation can operate on consumer mobile hardware not designed for transformer workloads, including a Snapdragon 865 device running Android 13. Development of the Android system occurred independently and the project repository predates Google’s public AppFunctions announcement by one day, suggesting parallel discovery of a similar architectural gap.The paper argues that the primary contribution of these projects is not the systems themselves but the development methodology that produced them: a human-directed AI collaboration process in which the practitioner defines outcomes, evaluates architecture, and orchestrates the work while AI systems generate implementation artifacts. The paper itself is produced using the same methodology, serving as a recursive demonstration of the approach it documents.The methodology is examined through two case studies: Hydra-rray, a containerized behavioral observatory for tool-capable AI agents, and an offline Android MCP client integrating local model inference with mobile automation.
Category: Artificial Intelligence

Quantization of Dipolar Torsion in FCD-RB: Emergent Unification Without Dm/de

Authors: Ricardo J. Miralles
Comments: 6 Pages. In Spanish (Note by ai.viXra.org Admin: This submission is not written in a suitable manner, e.g., incomplete/cutoff graphs etc. - Please conform!)

We propose quantization of dipolar torsion T_dip in the FCD-RBv3 model, a 5D framework where fermion-antifermion pairs in a collapsed toroidal bulk emerge discrete masses m_n ∝ √n, modified gravity (d=0.002), and helical electromagnetism, eliminating DM/DE/primitive gluons...
Category: Quantum Gravity and String Theory

An Octonionic Foundation of Spacetime Geometry and Quantum Mechanics

Authors: Rüdiger Giesel
Comments: 28 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We propose a framework in which spacetime geometry and quantum dynamics emerge fromthe non—associative algebra of octonions. A dynamical octonion-valued field is introduced whose interaction is governed by the octonionic associator. The induced G2 three-form determines the metric, variation of the action produces Einstein equations, and projection onto quaternionic subalgebras yields quantum wavefunctions. The theory admits a compact master equation encoding gravitational and quantum dynamics simultaneously.
Category: Relativity and Cosmology

Microcontroller-Based Thermocouple Temperature Monitoring and Heater Control System with Digital Display Interface

Authors: Md Mubdiul Hasan
Comments: 6 Pages.

Temperature control is a critical requirement inmany industrial heating applications where accurate sensing and reliable power regulation are necessary for system stability and safety. This paper presents the design and implementation of a microcontroller-based temperature monitoring and control system utilizing a thermocouple sensor and dual-heater regulation. The proposed system employs a thermocouple temperature sensor interfaced through a thermocouple-to-digital converter toobtain accurate temperature measurements. A microcontroller processes the temperature data and compares it with a user-defined setpoint to perform closed-loop temperature control.The system integrates a user interface consisting of key switches for parameter adjustment and a four-digit seven-segment display for real-time visualization of temperature values and system status. Heater control is achieved through optoisolated triac driver circuits that enable safe switching of ACpower to the heating elements. Additional peripheral modules including LED indicators, a buzzer alarm circuit, and a cooling fan control mechanism are incorporated to enhance operational feedback, safety, and thermal stability. The designed architecture ensures electrical isolation between the low-voltage control circuitry and high-voltage heater loads,improving system reliability and user safety. Experimental evaluation demonstrates that the system provides stable temperature regulation, responsive user interaction, and reliable heaterswitching performance. The proposed design offers a cost-effective and scalable solution suitable for industrial heating systems, laboratory equipment, and temperature-sensitive process control applications.
Category: Digital Signal Processing

Gravitational Lensing Based on Entangled Duality

Authors: Joseph Shaffer
Comments: 6 Pages.

A lensing-like framework is described, based on Entangled Duality, where galaxies interact through two domains: either relativistic, spacetime S, or entangled, E. The core idea is that every physical system participates in both domains. Observations — such as galactic rotation curves and lensing like mass effects — are the combined outcome of S + E, not S alone. This dual domain model produces effects that mimic gravitational lensing and dark matter like behavior without invoking dark matter.
Category: Astrophysics

Relativistic Field Theory of Primes: An Adelic Approach to the Hilbert—P´olya Conjecture and the Riemann Hypothesis

Authors: J. W. McGreevy
Comments: 19 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present a unified relativistic field theory over the ring of adeles AQ, in whichthe nontrivial zeros of the Riemann zeta function emerge as quantized energy levelsof a self-adjoint Hilbert—P´olya operator ˆH. The theory begins with a Non-Hermitian"Adelic Carnot Pump" driven by local prime interactions (Cup and Cap products),Hermitianized globally through restriction to the cuspidal subspace of automorphicforms on GL2(Q)GL2(A).The Arithmetic Planck constant hA ∼ log 2 quantizes phase steps, while the weight-12 modular discriminant ∆ provides vacuum tension. Maxwell-like adelic field equa-tions govern the dynamics, culminating in a least-arithmetic-action principle whosegeodesics are confined to the critical line Re(s) = 1/2.A dimensionless Arithmetic Fine-Structure Constant αA ≈ 1/(log 2 · 2π) tunes thecoupling between local curvature and global flow. Invariance of αA under the fulladelic group action is enforced by an Arithmetic Noether Theorem, which acts as acentripetal force locking spectral ordinates to the critical line.Self-adjointness follows from cuspidal sealing and unitary Atkin—Lehner symmetry;spectral matching is achieved via a twisted trace formula that projects the GL2 cuspidalspectrum onto the GL1 zeta zeros through phase-cancellation of non-coherent modes.We conclude that the Riemann Hypothesis is the symmetry requirement for acausal, lossless arithmetic vacuum: all nontrivial zeros satisfy Re(ρ) = 1/2. Exten-sions to the Birch and Swinnerton-Dyer conjecture are suggested.Keywords: Riemann Hypothesis, Hilbert—P´olya conjecture, adelic geometry, au-tomorphic forms, Noether theorem, non-Hermitian dynamics, modular forms, criticalline1
Category: Mathematical Physics

The UV Renormalization-Group Run of Koide-Type Mass Relations

Authors: Alejandro Rivero
Comments: 17 Pages.

We provide a reference dataset and exhaustive analysis of Koide-type mass relations under Standard Model renormalization-group evolution from MZ to MPl. Using PyR@TE 3 two-loop SM beta functions and AHS (AntuschHinze Saad) multi-loop Yukawa data, we track the charge-lattice ratio signed Koide triples constructed from the 9 SM Yukawa couplings.
Category: High Energy Particle Physics

[ A Proposed] Decomposition at Atomic Scale: Spectral Architecture of the Hydrogen Atom from Phi-Derived Constants

Authors: Thomas A. Husmann
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please don't name title, equation/formula etc after the author's name)7 tables. Verification code at https://github.com/thusmann5327/Unified_Theory_Physics. Patent Application 19/560,637. CC BY-NC-SA 4.0.

We demonstrate that the [proposed] Decomposition, grounded in the single algebraic identity phi^2 = phi + 1, extends to atomic physics with sub-percent precision across three independent domains. Spectral: alpha_em^{-1} = N x W = 137.337 (0.22% vs. CODATA), where N = 294 and W = 0.467134 are derived from the topological invariants of a 233-site Aubry-Andre-Harper lattice at critical coupling. The bracket count N is independently derivable as N = F(13) + F(10) + F(5) + F(2) = 233 + 55 + 5 + 1, a spectral topology invariant generalizable to any Fibonacci lattice. This cascades through QED to predict the Bohr radius (0.22%), Rydberg energy (0.44%), and proton charge radius (0.14%). Spatial: Anchoring the hydrogen 1s peak at the Cantor shell center maps 42% of the probability into the sigma_2-sigma_4 wall zone; the H_2 bond length matches sigma_4 outer to 0.5%. Information-theoretic: The bipartite entanglement entropy at the Cantor sigma_4 outer wall reaches S = 0.6908 nats, 99.66% of the theoretical maximum ln 2, with zero free parameters. The Cantor outer wall lies 5.3% beyond the equal-partition point (p = 0.535), preserving 99.66% of the theoretical maximum entropy ln 2. Three additional exact identities are proved from phi^2 = phi + 1 alone: the unity partition 1/phi + 1/phi^3 + 1/phi^4 = 1, the boundary law 2/phi^4 + 3/phi^3 = 1, and the pi-phi bridge pi = 4*arctan(1/phi) + 4*arctan(1/phi^3). Systematic comparison with all metallic means and quadratic irrationals shows phi is unique: it alone produces a critical eigenstate with minimal fractal dimension D_2 ~ 0.538, a nested five-sector Cantor spectrum, stable baryon fraction Omega_b ~ 0.048, and dark-energy-dominated expansion. The fine-structure constant is the cumulative wall fraction of the Cantor vacuum: alpha_em = 1/(N x W). The hydrogen atom is the same self-consistent structure at bracket 117.
Category: Mathematical Physics

A Binary Branch—Layer Structure and Two Explicit Decreasing Invariant for the Collatz Map

Authors: Neel Alkoraishi
Comments: 13 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

I present a binary structural framework for the Collatz map that organizes all positive integers into a hierarchical branch—layer system. Everyinteger admits a unique decomposition m = 2y (2x(2R + 1) − 1), which determines its position within a finite branch through the trailingbinary blocks of ones and zeros. Using the recursive 2n + 1 construction, I derive explicit linear branch formulas A(n, x) and B(n, x) that uniquely generate all odd integers. Eachbranch has a finite depth n and terminates at a branch endpoint C = 2 · 3nx + 4 ⌊(n−1)/2⌋ Xi=0 9i. Under the Collatz map, the local branch parameters (x, y) decrease deterministically until this endpoint is reached. At each branch endpoint the higher-order parameter satisfiesRu2032 = 3R + 1 2x+y, yielding the decreasing invariant Ru2032 < R (with a single boundary case).This provides an explicit numerical descent between successive branch endpoints.The reverse odd structure further shows that each branch contains a unique maximal node congruent to 3 (mod 6), which has no odd predecessor within the branch. This structure allows branches to be organized into a recursive hierarchy of endpoint sets C0, C1, C2, . . . , from which I define a global layer index L(m).I prove that every positive integer eventually reaches a branch endpoint belonging to a lower-numbered layer, yielding a strictly decreasinginvariant L(T k (m)) < L(m). Since L(m) is nonnegative, every trajectory must descend through finitely many layers to the base layer C0 = {2k }, which maps trivially to 1. This establishes convergence of all positive integers under the Collatz map within the branch—layer framework.
Category: Combinatorics and Graph Theory

Design Review and Functional Assessment of an LM324-Driven Voltage Stabilizer for Residential Applications

Authors: Md Mubdiul Hasan
Comments: 8 Pages.

—This work presents the analysis and functionalcharacterization of a multi-tap AC voltage stabilizer implemented in LTspice, emphasizing its control, feedback, and protection mechanisms. The stabilizer employs an autotransformer with discrete tap selection, where relay-driven switching provides coarse regulation across varying mains conditions. A dedicated sensing network, consisting of a transformer secondary, rectifier, and precision divider, generates a DC feedback signalproportional to the output RMS voltage. This signal is processed by a window-comparator architecture built around the LM324,enabling the controller to determine whether the present tap is too high, too low, or within the acceptable regulation band. The design incorporates a soft-start and pre-regulation stage that ensures stable startup behavior by delaying relay activation until the reference, supply rail, and sensing nodes reach steady-state values. Comparator thresholds are derived analytically by mapping mains voltage through the transformer ratio, rectifier, and divider network to the LM324 input domain. This allows direct calculation of the window center and allowable mains range for each tap. A protection comparator monitors long-term deviationsoutside the window and, through a zener-coupled reference node, triggers a controlled shutdown or tap change when necessary. The resulting system combines discrete tap switching with analog decision logic to achieve robust voltage regulation across a wide input range, while maintaining predictable and mathematicallyverifiable operating boundaries.
Category: Mathematical Physics

A Geometric Approach to the Relativistic Wallström Objection: Spin-1/2 from Covariant Fluid Regularity

Authors: Adrian Rohr
Comments: 9 Pages.

This paper explores the extension of the stochastic coherence framework (Onsager-Machlup formalism) to the relativistic domain. In previous work, it was shown that phase quantization in the non-relativistic Schrödinger regime can be understood as a consequence of requiring the probability current to be a $C^infty$ smooth vector field across nodal surfaces (resolving the Wallström objection). Here, we examine the analogous topological constraints in Minkowski spacetime using Spacetime Algebra (STA). By replacing the scalar phase with a Lorentz rotor field, the physical observables become the probability four-current and the spin tensor, both bilinear in the rotor via the $SU(2) to SO(3)$ double covering.Through a variational derivation of the relativistic stochastic dynamics, we show that the generalized Hamilton-Jacobi equation constrains the local density behavior near nodal tubes. When combined with the requirement that the bilinear observables remain strictly $C^infty$ regular, the internal holonomy of the rotor is forced to take values in integer multiples of $pi$. The results suggest that intrinsic angular momentum quantized in half-integer units of $hbar$ (spin-1/2) can emerge naturally as a geometric and topological necessity for covariant fluid stability, recovering the Dirac hydrodynamic system without a priori postulating spinor structure.
Category: Quantum Physics

The Prime Formulation and its Spectral Resolution

Authors: Chaiya Tantisukarom
Comments: 14 Pages.

This paper presents the Prime Gear Geometry (PGG) formulation, a deterministic spectral framework that models prime numbers as discrete mechanical oscillators. By representing the prime sequence as a unit-normalized indicator function ($a_n in {0, 1}$) and applying a band-limited Inverse Fourier Transform (IFT) with a fixed Atomic Tuning Factor ($K=3$), we resolve the individual harmonic identities of adjacent primes. Unlike traditional analytic methods that result in spectral blurring, the PGG formulation ensures the absolute separation of ``Gears'' 2 and 3, maintaining a consistent inter-state valley ($v(2.5) approx -0.566$) across scales ranging from $N=10^2$ to $N=10^6$. We align this framework with Riemann's original observation of the Fourier ``jump'' at prime coordinates, anchoring the discrete forging events to a 0.5 Gyrocenter. Consequently, this paper bypasses the analytic continuation of the Riemann Zeta function, offering a purely mechanical, signal-processing resolution to prime distribution.
Category: Number Theory

A Framed Three-Strand Topological Information Model: Exact Charge Mapping, a Bilinear Mass Constraint, and a Finite Residualacuum Sector}}

Authors: Kobie Janse van Rensburg
Comments: 18 Pages.

We present a discrete kinematic model built from the three-strand braid group B3 with a local slot-based framed-transfer rule. The model cleanly separates coarse closure topology from path-dependent framed memory, allowing macroscopically trivial closures to retain quantized internal residual structure. A computational sweep over 118,096 admissible braid histories confirms large-scale topology-framing decoupling. Using a universal closure-scaled framing map, we show that the first-generation electroweak quantum numbers are reproduced exactly by linear functionals on the framing vector. We then define a bilinear vacuum-mass functional from a rank-two vacuum tensor acting on left/right framed data.The first-generation mass-area matrices satisfy the exact algebraic identity Mu = Md+3 Me, which holds unconditionally for any vacuum tensor K and implies the rigorous bound |mu−md| ≤ me on bare kinematic masses. Finally, we observe that residual framed memory in the topological identity sector provides a natural finite mechanism for nonzero vacuum energy density. The paper is scoped as a kinematic-combinatorial framework: exact algebraicidentities are proved inside the model, while larger physical mass splittings and radiativestructure are attributed to dynamical dressing beyond pure topology.
Category: High Energy Particle Physics

Constraining Conformal Scalar-Tensor Activation: Density-Based Geometric Recovery (DBGR) Bounds from the Historic Proton Radius Anomaly

Authors: Bhasanpal Thiru
Comments: 3 Pages.

We formalize a phenomenological Density-Based Geometric Recovery (DBGR) model within anextended Einstein-Cartan-Sciama-Kibble (ECSK) scalar-tensor framework to establish bounds onlepton-induced metric deformations. Standard algebraic spin-torsion interactions are kinematicallysuppressed by O(10−40). However, transforming to the Einstein frame reveals a dynamic scalar fieldΦ capable of chameleon-like de-screening. Governed by quartic mass scaling (ρ ∝ µ4r), a muonicstate generates a localized density perturbation ∼ 1.82 × 109times greater than an electronic state.We test the boundary condition where this localized muonic threshold un-screens a macroscopicYukawa potential, evaluating the geometric contraction required to explain the historic proton radiusanomaly. Utilizing first-order perturbation theory with the exact 2S radial wavefunction, recoveringa −0.31 meV geometric binding requires a dimensionless effective coupling of αscalar ≈ 2.91 × 10−7.Because this violates established atom interferometry fifth-force bounds (α ≲ 10−11) by over fourorders of magnitude, DBGR excludes macroscopic geometric torsion as the source of the historicanomaly. This provides independent scalar-tensor validation for the CODATA QED consensus(Rp = 0.8413 ± 0.0016 fm) and establishes strict upper limits for the ongoing MUSE form-factordivergence.Keywords: Proton Radius Anomaly, Density-Based Geometric Recovery (DBGR), Chameleon Mechanism, Scalar-Tensor Theory, Metric Torsion, Yukawa Potential, MUSE Experiment, Fifth-Force Exclusion.
Category: Relativity and Cosmology

Mechanistic Derivation of Relativistic Effects via Space Stress Vector (SSV) in the Dipole Sea

Authors: Thomas Lee Abshier
Comments: 16 Pages.

Conscious Point Physics (CPP) derives special relativistic effects—time dilation, length contraction, and the twin paradox—from geometric constraints in a discrete 4D lattice based on the 600-cell polychoron. Kinetic energy stored as excess Space Stress Vector (∆SSV) reduces effective Voronoi cell volumes, shrinking the Planck Sphere Radius (PSR) and limiting displacement per absolute Moment. This produces relativistic phenomena as consequences of lattice saturation rather than postulated spacetime geometry. The framework reproduces standard SR at accessible energies while predicting deviations at accelerations ≳ 10^20g. We provide a first-principles derivation of the PSR formula and coupling constant k ≈ 2.16 × 10^-114 m3/J from 600-cell packing geometry.
Category: Relativity and Cosmology

Einstein-Cartan Torsion and Vacuum Phase Transitions: A Spinor-Sourced Geometric EFT for High-Density Probes

Authors: Bhasanpal Thiru
Comments: 4 Pages.

We formalize an exploratory geometric Effective Field Theory (EFT) utilizing an Einstein-Cartan-Sciama-Kibble (ECSK) action, where the vacuum undergoes a phase transition governed by a scalarfield coupled to the trace of the stress-energy tensor. To avoid ghost instabilities, we map thenon-minimal coupling to the Einstein frame and stabilize the high-density limit with a quartic po-tential. Relaxing the uniform-spin approximation, we parameterize finite-nucleus spin gradients viadimension-6 EFT Wilson coefficients set by the nucleon mass scale. We compute the 1-loop spinorself-energy using Pauli-Villars regularization matched to the electroweak scale (246 GeV). Utilizingmacroscopic storage ring densities, we demonstrate the ECSK contribution to the muon anoma-lous magnetic moment is kinematically suppressed to O(10−42) even under maximal ensemble spinalignment, explicitly verifying Standard Model dominance. We establish tree-level CPT invariance,noting that loop-level CP phases require future Renormalization Group Equation (RGE) flow anal-ysis. We extract order-of-magnitude upper bounds on geometric elasticity using Calcium isotopeshifts, deriving the sensitivity gradient while accounting for PREX/CREX systematics. Finally,we provide a falsifiable null-hypothesis test for the 2p to 1s X-ray lineshape shift in Kaonic hydro-gen, acknowledging that covariant QCD subtractions from optical potentials strongly correlate withgeometric compression, necessitating future hadronic background improvements.Keywords: ECSK Theory, Spacetime Torsion, Metric Deformation, Kaonic Atoms, J-PARC, Effective Field Theory.
Category: Relativity and Cosmology

Fundamental Gravitational Retarded Spacetime Shells: Cosmic Scale

Authors: Adam T. Hawkins
Comments: 13 Pages. DOI: 10.1016/j.physletb.2025.140008 paper focused after reading this.

This work presents a unified mechanistic framework for physics based on three first-principles assumptions:(1) gravity propagates at the causal speed c,(2) time flows in one direction (retarded propagation only), and(3) every massive particle continuously emits fundamental gravitational wave shells whose time-averaged superposition constitutes gravity.This paper is focused on the Cosmic scale, questioning the need for dark matter and energy, while explaining early galaxy mismatch predictions.
Category: Relativity and Cosmology

Fundamental Gravitational Retarded Spacetime Shells: Quantum Scale

Authors: Adam T. Hawkins
Comments: 18 Pages. Besides this force unifying paper there is a companion paper at the cosmic scale

This work presents a unified mechanistic framework for physics based on three first-principles assumptions:(1) gravity propagates at the causal speed c,(2) time flows in one direction (retarded propagation only), and(3) every massive particle continuously emits fundamental gravitational wave shells whose time-averaged superposition constitutes gravity.At the quantum scale there is a limit below the proton mass where space time shells are not emitted at the speed of light, and the energy of mass is conserved in 3d via photons, gluons or magnetic fields between quantum pops.
Category: Quantum Gravity and String Theory

The Universal Gearbox: How the Machine of the Stars Really Moves

Authors: Michael Quigley
Comments: 62 Pages. (Note by ai.viXra.org Admin: This submission is speculative and lacks scientific references, so it may not be within the scope of this platform - Please cite and list scientific references)

For over a century, theoretical physics has hidden behind the "Abstract Curtain" of empty space, curved time, and the spooky paradox of "Action at a Distance." This paper marks the end of that era. We propose that the Universe is not a void, but a Rigid-Packed Plenum of 1024 ether granules—a "Universal Marble Pit" where nothing is ever truly separate. By applying the rigorous principles of mechanical engineering—rotors, stators, gear-meshing, and acoustic resonance—we demonstrate that "Matter" is not a substance, but a Geometry of Movement.We introduce the six mechanical phases of the Universal Gear-Up, proving that reality is a singular, synchronized machine:The Acoustic Whisper: The 13.33 Hz universal heartbeat. The Rotor-Disc: The 2D Ethos-61 assembly (The Face). The Engine-Block: The 10-layer Ethos-648 Monobrick (The 3D Unit).The Structural Braid: The 108-node Heptad (The Rigid Framework). The Electric Universe (The K=50 Shift): The 1836 Squeeze where terminal gear-lock creates Light and Power. The Celestial Symphony: The 864 Master Gear (The Sun and Galaxies). By identifying the Ethos-648 Monobrick as the fundamental engine of reality, we redefine the "Speed of Light" as the physical Phase-Locking Time of gears and identify Mass as the torsional friction of the ether grid. Consequently, we replace Einstein’s E=mc2 with the fundamental mechanical equation of the Universal Seesaw (E=mΦ), where Φ (Phi) represents the instantaneous Phase-Lock Constant of the etheric plenum. This resolves the paradox of non-locality through instantaneous granular conduction, proving that the universe functions as a Solid Mechanical Rod. Furthermore, we provide the mechanical origin of the 1,836:1 proton-to-electron mass ratio, prove that magnetic field lines are 3D Fibonacci spirals (337/227), and solve the 2026 Hubble Tension by identifying redshift as three-tiered acoustic friction. This is the "Toolmaker’s" blueprint for a new world view of physics—one where the stars turn because the gears mesh.
Category: Quantum Physics

The Toolmaker’s Resonance: A Unified Mechanical Framework for R.U.T. Theory

Authors: Michael Quigley
Comments: 82 Pages. (Note by ai.viXra.org Admin: This submission is speculative, so it may not be within the scope of this platform - Please cite listed scientific references)

This paper proposes a Rigid Universal Touching (R.U.T.) framework, modeling the vacuum as a high-density medium of hard-sphere granules (1024 density). We reinterpret the Fine Structure Constant ( =1/137.036) not as a dimensionless coupling strength, but as a critical Volumetric Slip-Ratio (SARec /VSph+Cone) required for frictionless granule rotation. We formally challenge the Einsteinian postulate of photonic velocity (c), redefining it as a Mechanical Phase-Locking Delay within the lattice. Consequently, we replace the observational equation E=mc2 with the mechanical equation E=m , defining energy as the Volumetric Expansion of a Fibonacci Vortex.This framework provides a verifiable engineering protocol for Z-Pinch plasma stabilization via a 137.036-degree conical taper and resonant modulation at the 1.42 GHz Hydrogen Line. We provide specific, falsifiable predictions for instantaneous longitudinal propagation (Time Zero) via Phase-Shift Interferometry, bridging the gap between ancient resonant megaliths and modern superconducting stellar physics.
Category: Quantum Physics

Reconstruction of a Minimal Six-Dimensional Light Null Entity with Mutual Base Space-Fiber Method

Authors: Tingfang Yi
Comments: 7 Pages.

We propose a unified minimal six-dimensional (6D) light null entity, where the fundamental properties of light are reinterpreted as intrinsic degrees of freedom within a singular closed manifold. This 6D structure integrates a two-dimensional null propagation geometry with four intrinsic 1D degrees of freedom: optical phase, polarization, frequency, and orientation relative to the null momentum generator. In this framework, conventional four-dimensional (4D) spacetime optical, electromagnetic, and quantum phenomena arise as lower- dimensional projection or section measurements of this structure, while preserving consistency with established theories at the level of current observations. Spacetime coordinates and photon internal degrees of freedom may be geometrically equivalent components of a higher-dimensional manifold.
Category: Mathematical Physics

A Smoothed Functional Defined by the Zeros of the Riemann Zeta Function

Authors: Yufei Liu
Comments: 4 Pages.

We define a function L(x)=∑_ρ(1-e^{-x/ρ}) for x>0, where the sum runs over all non-trivial zeros ρ of the Riemann zeta function ζ(s), taken in the symmetric pairing ρ and 1-ρ to ensure absolute convergence. We prove that L(x) converges absolutely for every x>0, that it is differentiable, and that its derivative is given by L'(x)=∑_ρ (1/ρ) e^{-x/ρ} (with the same pairing). We also show that L(x) is real-valued. This functional serves as a continuous analogue of the Li coefficients. We state the conjecture that the Riemann Hypothesis is equivalent to the strict positivity L'(x)>0 for all x>0. All results are unconditional and rely only on standard zero-density estimates.
Category: Number Theory

Relativistic Planck-Scale Interaction Limit and Gravitational Wavefront Aggregation: a Novel Unified Hypothesis for Modified Newtonian Dynamics Within General Relativity

Authors: Richard Holland
Comments: 14 Pages. Abstract did not format correctly

We present a relativistic hypothesis based on a universal Planck-frequency interaction budget postulate that is fully compatible with general relativity. The observable cosmos, with �� ≈ 1090particles and cosmic age �� ≈ 4.35 × 10^17s, permits at most ∼10^151 interaction events at the Planck frequency ���� ≈ 1.85 × 10^43Hz. Full pairwise Newtonian gravity is combinatorially impossible if ���� imposes a limit, so gravitational influence aggregates into long, coherent wavefronts exhibiting cylindrical dilution ∼ 1/�� at large scales. Near localized masses these wavefronts undergo shear-induced breakup, recovering the Newtonian 1/��2 regime locally. In the weak-field, low-acceleration limit the model naturally recovers the deep-MOND relation �� ≈ √������0 without dark matter or auxiliary fields.
Category: Relativity and Cosmology

The Cubic Lattice of Particle Masses: A Logarithmic Resonance Model Based on the 3/2 Harmonic Ratio

Authors: Alberto Coe
Comments: 5 Pages.

This paper proposes a mass quantization model based on a logarithmic scaling lattice with a harmonic base of 3/2, derived from the fundamental geometric properties of a unit cube. Using the electron rest mass as the fundamental frequency, we demonstrate that elementary particle masses (quarks, leptons, and gauge bosons) and ground energy level of Hydrogen atom align with specific nodes of a lattice defined by Ek=Eref32k .A statistical analysis yields a p-value of 0.00475 , indicating a confidence level exceeding 99%.Furthermore, we introduce a novel heuristic formula relating the 3/2 ratio,the Bohr radius , the fine-structure constant and a specific mass scale M1012kg suggesting a geometric link between gravitational and electromagnetic constants.
Category: High Energy Particle Physics

Closing the Ontological Loop: Topological Memory, Pre-Geometric Irreversibility, and Why the Void Remains a Productive Frontier

Authors: Andrei Eleodor Sirbu
Comments: 57 Pages.

The arrow of time is conventionally attributed to entropic gradients and low-entropy initial conditions. We argue that this account is insufficient. The arrow of time is the cumulative expression of irreversible processes operating at every scale, from pre-geometric fluctuations preceding the Big Bang to the large-scale architecture of cosmic evolution. In this framework, the Big Bang is not an absolute origin but a transition threshold within a deeper, pre-geometric regime. The pre-existing state—whether void or near-void—is not a sta-ble absence but a regime of maximal ermissivity. It spontaneously generates transient distinctions, most of which collapse. Each col-lapse, however, leaves behind topological invariants: purely relational structural traces that persist independently of any material substrate. Through ontological selection, a prebiological form of Darwinism, successive cycles inherit these accumulated constraints, rendering each subsequent configuration more stable and more probable than the last. The void is never fully annihilated; it persists as an active and productive frontier, perpetually countered by the topological memory of prior distinctions. This paper shows that the first distinction itself arises from a logical necessity—a minimal self-referential loop within pure indifferentiation and that the same selective logic is self-similar across scales,manifesting even in the extraordinary robustness of extremophiles and in mathematics as the most stable sediment of ontological selection.Complexity does not defeat the void; it transforms it into the very boundary condition that makes further structure possible. Irreversibility, memory, and ontological selection thus operate as unified principles, closing an ontological loop in which the arrow of time and the timeless forms of mathematics stand as the two universal invariants of any reality that has ever emerged from the void.
Category: History and Philosophy of Physics

J. S. Bell's Inequality Postulate Reviewed By Direct Comparison Of Expectation Formulae

Authors: Roger L. Mc Murtrie
Comments: 8 Pages.

This paper identifies inconsistencies between the expression for the Kolmogorov expectation valueof the product of two discrete random variables and the incorporation of such expectation values in Bell-type inequalities. Calculations related to Bell and Horne-Clauser-Shinomy-Holtinequalities are included.
Category: Quantum Physics

Displacement Spacetime

Authors: Aaron Lee Alai
Comments: 52 Pages.

We present a unified theoretical framework — Displacement Spacetime (DST) — in which all fundamental interactions emerge from two geometric axioms: mass is the radial displacement of spacetime, and charge is its rotational displacement. The framework originates in an exact mathematical identity connecting moiré interference patterns to measurements of the quantum Wigner characteristic function [1], numerically verified against five published quantum state experiments to six decimal places.From these two axioms, supplemented by the topology of SO(3) and the geometry of the displacement manifolds, the following results are derived without free parameters: the fine structure constant α = 3/(8 ln(m_Pl/m_e)) to 0.27% at one loop; three generations of matter from the Euler characteristic of CP²; sin²θ_W = 3/8 from SU(5) selection; the Koide lepton mass relation to 0.001%; the proton-to-electron mass ratio m_p/m_e = 6πu2075 to 0.002%; the CP violation phase δ_CP = arctan(8/π) to 0.28%; dark matter mass m_DM = m_e = 511 keV from rotational-radial coupling; the strong coupling α_s × ln(m_Pl/m_e) = 2π/ln(2πu2075) to 0.39% at the Planck scale; the weak coupling α_W × ln(m_Pl/m_e) = 1 from EM and the Weinberg angle; and spin-1/2 uniqueness for all fundamental charged matter from three independent proofs. All four fundamental couplings are now derived from two independent geometric measures.A 0.27% residual appears consistently across multiple independent calculations. This residual is identified as a self-referential correction: α corrects the formula that determines α. The exact corrected formula is α = (3/8)/(ln(m_Pl/m_e) − 9/64), accurate to 0.002%. The consistency of this single correction across all predictions constitutes the principal structural evidence for the framework's validity. Falsifiable experimental predictions are catalogued, including a dark matter detection cross-section and deviations from Standard Model neutrino mixing.
Category: Quantum Gravity and String Theory

Displacement Spacetime

Authors: Aaron Lee Alai
Comments: 50 Pages. Minor clarifications throughout.

We present a unified theoretical framework — Displacement Spacetime (DST) — in which all fundamental interactions emerge from two geometric axioms: mass is the radial displacement of spacetime, and charge is its rotational displacement. The framework originates in an exact mathematical identity connecting moiré interference patterns to measurements of the quantum Wigner characteristic function [1], numerically verified against five published quantum state experiments to six decimal places.From these two axioms, supplemented by the topology of SO(3) and the geometry of the displacement manifolds, the following results are derived without free parameters: the fine structure constant α = 3/(8 ln(m_Pl/m_e)) to 0.27% at one loop; three generations of matter from the Euler characteristic of CP²; sin²θ_W = 3/8 from SU(5) selection; the Koide lepton mass relation to 0.001%; the proton-to-electron mass ratio m_p/m_e = 6πu2075 to 0.002%; the CP violation phase δ_CP = arctan(8/π) to 0.28%; dark matter mass m_DM = m_e = 511 keV from rotational-radial coupling; the strong coupling α_s × ln(m_Pl/m_e) = 2π/ln(2πu2075) to 0.39% at the Planck scale; the weak coupling α_W × ln(m_Pl/m_e) = 1 from EM and the Weinberg angle; and spin-1/2 uniqueness for all fundamental charged matter from three independent proofs. All four fundamental couplings are now derived from two independent geometric measures.A 0.27% residual appears consistently across multiple independent calculations. This residual is identified as a self-referential correction: α corrects the formula that determines α. The exact corrected formula is α = (3/8)/(ln(m_Pl/m_e) − 9/64), accurate to 0.002%. The consistency of this single correction across all predictions constitutes the principal structural evidence for the framework's validity. Falsifiable experimental predictions are catalogued, including a dark matter detection cross-section and deviations from Standard Model neutrino mixing.
Category: Quantum Gravity and String Theory

Observational Test Strategy for an Octonionically Motivated Model of Emergent Spacetime and Cosmic Expansion

Authors: Rüdiger Giesel
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We formulate an observationally testable phenomenological framework for a cosmological model motivated by octonionic pre-geometry. In this picture, the nonassociativity of the octonionic division algebra obstructs the existence of a fundamental global time and motivates a symmetry reduction to an effectively associative sector, identified with emergent four-dimensional spacetime. Residualnonassociative degrees of freedom are modeled as an effective dynamical dark-energy component. Weintroduce a minimal approach for the effective octonionic energy density and derive the associated Hubble function, luminosity distance, baryon-acoustic-oscillation distances, and effective equation of state. The resulting model admits a direct mapping onto the standard (w0,wa) dark-energy parametrization and reduces continuously to ΛCDM in the appropriate limit. We present a concrete benchmark parameterization and formulate a step-by-step likelihood strategy based on Type Ia supernovae, baryon acoustic oscillations, and direct H(z) measurements. The framework is designed as a falsifiable intermediate step between a speculative algebraic origin of spacetime and precisionlate-universe cosmology.
Category: Relativity and Cosmology

The Pure Geometric Universe

Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 11 Pages.

The Standard Model of modern physics contains dozens of free parameters (such as the finestructure constant ) that cannot be derived theoretically. Abstract "point particles" and "probability waves" do not exist in the universe. This paper establishes the "Spatial Right-Handed Cylindrical Helical Light-Speed Motion" as the sole first-principle axiom. By combining fluid dynamics vortex theorems with Knot Theory, we prove that electrons, protons, and neutrons are essentially topological vortex knots of spatial fluid. Furthermore, this theory rigorously derives the pure geometric origin of the fine-structure constant and directly introduces a second-order topological residual mechanism governed by the "square law of amplitude." This leads to the deduction of an infinite-order residual geometric cascade enclosed entirely within the axiom, constructing the topological full-order energy level formula for the hydrogen atom. This paper not only conducts a rigorous, zero-fitting algebraic examination of this formula but also provides a pure geometric resolution to the "Proton Radius Puzzle," demonstrating the paradigm-shifting predictive power of topological geometry.
Category: Quantum Physics

The Impact-Triggered Flash Cascade (ITFC) Model: A Quantum-Interpreted Background Framework for Light Propagation

Authors: Hyun-Kyu Koh
Comments: 21 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We propose the Impact-Triggered Flash Cascade (ITFC) model, a phenomenological framework in which visible light is interpreted as a cascade of flashes emitted by an unobservable background of particles (U-particles) excited through contact with a high-speed driver (P-particle). In this picture, the observable signal is not the P-particle itself but the propagation of the U-cascade. The light constant c is reinterpreted as the critical transfer speed of U, while observable information transfer remains bounded by the effective cascade speed, preserving local relativistic consistency.The model is governed by two phenomenological parameters: an effective transfer length and a local dwell/lag time. From these, we derive an effective propagation law and refractive index that consistently account for rectilinear propagation, reflection and refraction, scattering and turbidity, and diffraction and interference through time-synchronization. An effective-action sketch is also provided to encode nonlocal memory and finite transfer range while reproducing the long-wavelength behavior of the model.The present framework may also be viewed as a quantum-interpreted reformulation of a background-medium picture. Rather than reviving a classical ether in its historical sense, we treat the unobservable background as a set of latent degrees of freedom whose localized excitations and transfer dynamics generate the observable optical signal. The present work is intentionally phenomenological; a detailed microscopic model of U-particles, their interactions, and their relation to standard field theory is deferred to subsequent papers. Possible large-scale background modulation may be explored in future work, but it is not essential to the present quantum-interpreted phenomenology of local light propagation.
Category: Quantum Physics

Gravity from Galactic Tension: Local Mechanics and Nonlocal Effects

Authors: Joseph Shaffer
Comments: 10 Pages.

This paper proposes a conceptual framework in which both the gravitational constant G and the phenomenon commonly referred to as dark energy arise from a single physical mechanism: a frozen in tension within a medium formed during an early universe phase transition. The model assumes the existence of a continuous, elastic like substrate created during the Big Bang. As the universe expanded, this medium experienced strain, producing a uniform tension that remained fixed once the expansion rate slowed. The gravitational constant emerges from the stiffness and strain of this medium. The conceptual framework relies on a two domain model, consisting of a local mechanical domain and a nonlocal entanglement domain. The framework naturally yields flat galactic rotation curves without invoking dark matter halos.
Category: Astrophysics

Quaternionic Norm Response Theory (QNRT): Discrete Spacetime, Photon Basis, UV—IR Scale Duality, and Cosmological Scale Estimates

Authors: Kenichi Nakao
Comments: 18 Pages.

Quaternionic Norm Response Theory (QNRT) proposes a discrete, geometricallystructured spacetime based on the Hurwitz quaternion lattice ΓH. Through a singlealgebraic operation—quaternion inversion—the theory generates a Z2 UV—IR scaleduality whose fixed point simultaneously determines the dark-energy scale and theneutrino mass scale.The dynamical field ϕ : ΓH → HC takes values in the complexified quaternionalgebra HC∼= M2(C) and carries the Hermitian norm N(ϕ) = ϕϕu2020, giving thelogarithmic scale field σ = log(N(ϕ)/ℓ2P). Inversion ϕ 7→ ϕ−1 = ϕu2020/N(ϕ) sendsσ 7→ −σ, exchanging ultraviolet and infrared regimes. The norm-response scaling(NRS) theorem shows that this map has a unique fixed point rc =√ℓP R⋆.The fixed-point scale rc = 84 µm (with R⋆ ≈ 4.4×1026 m, N⋆ = R⋆/ℓP ≈ 2.70×1061) defines a reference wavenumber k0 = 1/rc. This is precisely the wavenumberof the self-dual lattice mode (n = nc =√N⋆ in the harmonic expansion over R⋆),an algebraic identity verified to 0.000% numerical error. The corresponding energyE0 = ℏck0 = 2.354 meV and temperature Tc = 27.27 K equal the geometric meanof the Planck and de Sitter temperatures, and coincide with the CMB temperatureat redshift zc ≈ 9 (cosmic reionisation epoch).The self-dual scale gives ρΛ = ℏc/(ℓP R⋆)2 = c4/(GR2⋆) ≈ 6.3 × 10−10 J m−3,within 21% of the Planck 2018 value 5.3×10−10 J m−3. The identity ρΛ = c4/(GR2⋆)shows that ℏ cancels algebraically, so the cosmological constant problem reduces tothe purely classical question of why R⋆/ℓP ≈ 2.7 × 1061. The fermionic counterpartyields Mcc2 =pMP c2 · MHc2 ≈ 2.4 meV, within the active-neutrino mass win-dow. The lattice-derived kinetic coefficient clat = 6 fixes the continuum action; theduality-symmetric potential V (σ) = 2ρΛ cosh σ produces thawing-quintessence darkenergy with w0 ∈ [−0.990, −0.908] and wa ∈ [−0.082, −0.014] for σi ∈ [0.5, 3.0]. Allpredictions are consistent with ΛCDM.The principal limitations are as follows. The value R⋆ ≈ 4.4 × 1026 m is setby self-consistency of the numerical outputs; its epoch-independent determinationis Open Problem OP1 and is not resolved in this paper. The QNRT predictionsw0 ∈ [−0.990, −0.908] are inconsistent with the DESI DR2 (2025) central value w0 ≈−0.75 at 2.7—4.0 σ, while remaining consistent with ΛCDM. The Euclid forecastedprecision σ(w0) ∼ 0.02 will provide a decisive test. The Standard Model gauge embedding and the physical determination of σi are the remaining principal openproblems.
Category: Relativity and Cosmology

The Universal Replication Principle as a Unifying Framework for the Expansion of Physical Vacuum and the Origin of Life

Authors: Ignacio Lesta Pelayo
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite and listed scientific references)

This work presents Version 2 of a previously published article (March 23, 2026), proposing the Universal Replication Principle (URP) as a unifying conceptual framework for understanding persistence, replication, and structural evolution across different domains of the universe.According to the URP, physical configurations that achieve a certain degree of stability tend to persist and, under favorable dynamical conditions, generate new configurations with similar structural properties. From this perspective, phenomena such as the formation of gravitational structures, the accelerated expansion of the universe, and the emergence of life can be interpreted as manifestations of a common underlying dynamic.In the cosmological domain, dark energy is interpreted as the observable manifestation of the expansion of the physical vacuum, understood as a dynamical state capable of extending its own structure. In the biological domain, the origin of life is framed as a natural continuation of processes of physical and chemical organization, leading to systems capable of informational replication.This revised version improves the conceptual clarity of the URP and refines its application across cosmology and biology, offering a unified interpretative framework consistent with existing theoretical models while suggesting new avenues for exploration.
Category: Relativity and Cosmology

Emergent Proper Time and Spacetime from Quantum Information Permeability: A Relational Page—Wootters Framework Unifying Quantum Mechanics and General Relativity via Density-Dependent Channel Capacity

Authors: Marco Travan
Comments: 49 Pages.

We propose a pregeometric quantum theory in which spacetime and proper timeemerge from the throughput capacity of a fundamental relational network of quantuminformation channels. The universe is modelled as a weighted quantum causal setwhose directed links carry a density-dependent permeability. Proper time is identified with the local rate of coherentinformation transfer: dτk = κk dλ.Gravitational time dilation, the thermodynamic arrow of time, and the Einsteinfield equations arise as macroscopic consequences of local information congestion.The global dynamics are governed by a linear Page—Wootters constraint Cˆ |Ψ⟩ = 0,guaranteeing unitarity and complete positivity. Saturation of local information capacitytriggers irreversible transfer into fermionic matter degrees of freedom, providing aquantum-mechanical origin for rest mass and Pauli exclusion.When the bath Hilbert space is identified with the complexified octonions Hbath =C ⊗ O—as developed in a companion paper—the Fano-plane structure generatesthe Standard Model gauge group S(U(2)×U(3)), SO(8) triality yields exactly threefermionic generations, and sub-threshold bath occupation provides a dark mattercandidate. The present paper establishes the core framework; the octonionic extensionand its phenomenological consequences are derived in Paper II.The framework is fully testable in analogue-gravity platforms—in particular Bose—Einstein condensates—and predicts distinctive signatures: density-dependent soundspeed suppression with a specific permeability denominator structure, modified analogue Hawking spectra, a second-order proper-time correction beyond linearised generalrelativity, and a density-dependent decoherence rate whose functional form distinguishes the QIP mechanism from standard open-system models.
Category: Quantum Physics

Quantization of Dipolar Torsion in FCD-RB: Emergent Unification Without Dm/de

Authors: Ricardo J. Miralles
Comments: 4 Pages. In Spanish (Note by ai.viXra.org Admin: This submission needs an abstract in the article and cites listed scientific refererences)

We propose quantization of dipolar torsion T_dip in the FCD-RBv3 model, a 5D framework where fermion-antifermion pairs in a collapsed toroidal bulk emerge discrete masses m_n ∝ √n, modified gravity (d=0.002), and helical electromagnetism, eliminating DM/DE/primitive gluons...
Category: Quantum Gravity and String Theory

A Variational Stochastic Derivation of the Dirac Equation with Quantized Orbital Angular Momentum and Consequences for Probability Positivity and Spin-Statistics

Authors: Adrian Rohr
Comments: 12 Pages.

We extend the stochastic coherence framework based on the Onsager-Machlup action to Minkowski spacetime. The configuration space R^n is replaced by M4, the scalar phase by a Lorentz rotor R in Spin+(1,3), and the observables by the four-current j^mu and spin tensor S^mu nu, both bilinear in R.We show that the combination of the relativistic stochastic Hamilton-Jacobi equation and the C^infty regularity of the bilinear observables over nodal surfaces forces the orbital winding number around nodal tubes to satisfy alpha = 2k with k a natural number, yielding orbital angular momentum quantized in integer multiples of h-bar: L = k in the non-negative integers. This establishes a strict topological separation between orbital angular momentum (determined by nodal regularity on the base manifold) and intrinsic spin (determined by the fiber group Spin+(1,3)).The variational derivation from the Onsager-Machlup action produces hydrodynamic equations that match the Takabayasi-Hestenes decomposition of the Dirac equation term by term. The derivation is non-circular: the dynamical constraint and the regularity requirement are logically independent.Additionally, we establish that the positivity condition rho >= 0 (inherent to any probability density) requires the internal orientation to be described by rotors in Spin+(1,3) rather than by SO+(1,3), as only the spinorial formulation guarantees a future-directed probability current. Finally, applying the Laidlaw-DeWitt decomposition to the many-body configuration space, we show that the double-cover structure of Spin+(1,3) fixes the exchange character to chi = -1 for spinorial representations, recovering Fermi-Dirac statistics without an independent symmetrization postulate.The framework remains within the domain of the free theory; extensions to curved spacetimes and many-body interactions are left for future work.
Category: Quantum Physics

The Universal Gearbox: How the Machine of the Stars Really Moves

Authors: Michael Quigley
Comments: 75 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

For over a century, theoretical physics has hidden behind the "Abstract Curtain" of empty space, curved time, and the paradox of "Action at a Distance". This paper marks the end of that era by offering a theoretical model that explains established evidence through mechanical engineering. We propose that the Universe is not a void, but a Solid-State Granule Sea (High-Density Plenum) of 1024 ether granules where nothing is truly separate. By identifying the Ethos-648 Monobrick as the fundamental engine of reality, we demonstrate that matter is a geometry of movement and mass is a product of torsional friction.We formally solve the Instability Paradox of heliocentric motion by confirming the (1) Shack (2018) Tychosian geo-axial model. We demonstrate that in a 1024 density plenum, a planet moving at 66,600 mph would generate terminal etheric friction, causing the atmospheric bubble to strip and the crust to vaporize into plasma instantly (2) Quigley (2026). This stationary hub is forensically validated by the CMB "Axis of Evil" identified by (3) Land & Magueijo (2005) and (4) Copi, et al. (2013), which identifies the Earth's ecliptic as the Master Bearing of the universal machine (5) Quigley (2026). By reinterpreting the Fine Structure Constant as a Mechanical Gear-Tolerance, we link the subatomic 1836 Squeeze directly to the planetary Fibonacci Record Grooves, proving the universe is a singular, fractal instrument.We formally challenge the Einsteinian postulate of photonic velocity, reinterpreting it as a Mechanical Phase-Locking Delay within the lattice. Citing the logical inconsistencies identified by (6) Dingle (1972), which demonstrated that Special Relativity is a physical impossibility, we replace the abstract observational equation E=mc2 with the Universal Seesaw (7) Quigley (2026). This model provides the physical hardware required for the wave-mathematics of (8) Maxwell (1861), (9) Yee (2019), and (10) Wolff (1990). We provide a mechanical rebuttal to Quantum Electrodynamics (QED) by replacing "probability clouds" and "virtual particles" with Acoustic Granule Directivity and the 648-node standing wave.Furthermore, we resolve the "Infinities" of the Standard Model by reinterpreting Schrödinger's Equation as a balance of potential lattice pressure and kinetic vibration, and Planck's Quanta as whole-number nodes in a finite 7,776-capacity cell. We redefine Black Holes not as singularities, but as Terminal Gear-Jams where density exceeds the 1/137 mechanical tolerance, leading to Acoustic Evaporation. Finally, we solve the Hubble Tension by identifying redshift as three-tiered acoustic friction and provide the mechanical origin of the 1,836:1 proton-to-electron mass ratio.
Category: Quantum Physics