All Submission Categories

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

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

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

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

Authors: Federico Quinteros
Comments: 10 Pages.

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

Tangent Roots Structuralization and Geometric Symmetry of Cubic Curves

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

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

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

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

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

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

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

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

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

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

Λ_IR = χ L_max⁻²,

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

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

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

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

Authors: Kin Peng Chan
Comments: 17 Pages.

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

Dynamical Threshold Theory of Sleep

Authors: Keiji Yoshimura
Comments: 8 Pages.

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

Quantum Linearity from Gravitational Record Erasure

Authors: Hong Zhang
Comments: 52 Pages.

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

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

Authors: Keiji Yoshimura
Comments: 8 Pages.

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

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

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

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

Knowledge Elicitation Through Conversational AI

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

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

Fundamental NT-Theorem

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

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

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

Authors: Vidipt Vashist
Comments: 7 Pages.

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

Geometric Approximation of π

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

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

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

Authors: Rudolph Elliot Willis
Comments: 25 Pages.

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

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

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

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

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

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

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

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

Authors: Lichani Belkacem
Comments: 4 Pages. Intéressant

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

Fundamental Fermion and Boson "Strandwiches"

Authors: Michael Santell
Comments: 12 Pages. References added

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

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

Authors: Michael Quigley
Comments: 116 Pages.

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

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

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

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

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

Authors: Pruk Ninsook
Comments: 42 Pages.

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

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

Authors: Stephen Allan Bishop
Comments: 19 Pages.

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

Phonetic Adaptation of English Loanwords in Five Target Languages

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

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

The Standard Model and Dark Matter in a Timeless Euclidean Model

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

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

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

Authors: Hacı Soğukpınar
Comments: 21 Pages.

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

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

Authors: Joseph Shaffer
Comments: 11 Pages.

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

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

Authors: Jyun-Yuan Jheng
Comments: 18 Pages.

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

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

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

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

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

Authors: Keiji Yoshimura
Comments: 10 Pages.

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

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

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

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

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

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

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

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

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

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

Triple Point Protocol: A Unified Geometric Hypothesis

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

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

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

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

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

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

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

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

Authors: Alberto Coe
Comments: 15 Pages.

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

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

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

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

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

Authors: Steven E. Elliott
Comments: 7 Pages.

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

s(X) = 1/|X|,     S(X) = 1/|P(X)|.

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

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

Statistical Emergence of Lorentz Symmetry in Stochastic Nonlocal Causal Networks

Authors: Hamza Akyüz
Comments: 5 Pages.

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

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

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

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

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

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

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

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

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

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

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

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

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

Infinite Ontology & Temporal Single-Manifestation Parallel Universe Theory

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

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

LLMs Are Neither Mere Statistics Nor True Minds

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

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

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

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

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

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

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

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

Peekaboo: Why You May Never Find Dark Matter

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

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

Gauge Structure from Group Algebras: The Example of D_4

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

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

Exceptional Topology and Generalized Roots in Hypercomplex Cayley—Dickson Algebras

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

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

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

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

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

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

Authors: Koichi Yano
Comments: 11 Pages.

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

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

Authors: Ezadiin Redwaan
Comments: 16 Pages.

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

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

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

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

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

Authors: Hengxin Zhao
Comments: 9 Pages.

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

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

Authors: Paul Robert Mesler
Comments: 13 Pages.

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

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

Authors: Brent Hartshorn
Comments: 8 Pages.

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

A Bohmian Reformulation of the Gravitational Collapse Model of Hossenfelder

Authors: Brian Scannell
Comments: 10 Pages.

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

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

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

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

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

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

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

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

Authors: Alberto Coe
Comments: 6 Pages.

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

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

Authors: Przemysław Cieszyński
Comments: 4 Pages.

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

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

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

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

Positivity of L'(x) Implies the Riemann Hypothesis

Authors: Yufei Liu
Comments: 5 Pages.

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

In Search for a Deeper Reality

Authors: Velislav Tsvetanov
Comments: 7 Pages.

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

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

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

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

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

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

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

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

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

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

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

Authors: Giovanni Ferraiuolo
Comments: 6 Pages.

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

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

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

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

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

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

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

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

Authors: Shreyka Mishra
Comments: 41 Pages.

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