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[118] ai.viXra.org:2601.0120 [pdf] submitted on 2026-01-30 16:30:00
Authors: Anish Sola
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
We study representations of integers as differences of prime powers, n = p^a − q^b,with distinct prime bases p ̸= q and distinct exponents a ̸= b. We focus on the positive-exponent setting (a, b ≥ 1) and on the proper-prime-power variant (a, b ≥ 2), for which the problem is closer in spirit to Goldbach- and Pillai-type questions. We prove elementary structural constraints (notably parity restrictions), propose first-moment heuristics, and outline a computational program.
Category: Number Theory
[117] ai.viXra.org:2601.0119 [pdf] replaced on 2026-02-20 22:24:30
Authors: Steven E. Elliott
Comments: 15 Pages.
We introduce the Fractal Substrate Equivalence Principle (FSEP) as the foundational axiom for a unified theory of physics, asserting that in a fractal universe governed by magneto-hydrodynamics (MHD), physical laws, structures, and phenomena are exactly equivalent acrossall scales upon appropriate scaling transformations. Unlike prior fractal cosmologies that treat general relativity (GR) or quantum mechanics (QM) as fundamental, the FSEP posits these as emergent scale-dependent descriptions of a single electric fluid dynamics. This principleunequivocally asserts: stars are photons, black holes are atomic nuclei, and dark matter is electron orbital shells—not as analogies, but as exact physical identities across fractal layers. We demonstrate how this single MHD substrate reproduces the essential features of QM and GR,and explains the origin of dark matter, black hole—galaxy correlations, and the fine structure of atomic spectra, within a unified electric—fluid picture.
Category: Quantum Gravity and String Theory
[116] ai.viXra.org:2601.0118 [pdf] replaced on 2026-02-23 02:46:57
Authors: Frederick Manfredi
Comments: 106 Pages.
We propose an effective classical field theory where a single anisotropic suppression rule—favoring radial flux paths and penalizing perpendicular deviations: S(θ) = 1/ϕ^6 sin^4(θ) with density-softened feedback Seff (θ, ρ) = S(θ)/(1+βρ)—generates corrections to standard GR and QFT. In the high-ρ limit, the denominator softens suppression, recovering standard physics with regular interiors and milder effects. At low/intermediate ρ, we predict testable deviations. The framework mimics key features of general relativity, quantum field theory, and Bell correlations as an effective description. Anchored in semi-Dirac quasiparticle data from materials such as ZrSiS, the rule reproduces strong Bell violations in planar geometries (CHSH up to ∼2.62 rescaled with mild low-β feedback) while predicting significant dilution (CHSH ∼0.12—1.03 dynamically rescaled) in isotropic 3D configurations—an untested signature absent in current experiments. In high-density regimes,flux rebalancing mimics GR phenomenology (Newtonian limit, linearized Einstein equations, Schwarzschild-like metrics with softened interiors) without fundamental curvature or gravitons. Within the approximations of this model, theSemi-Dirac soup reproduces quantum Bell correlations closely matching experiment via suppression nonlinearity (Appendix A)Small corrections are predicted in precision observables (e.g., g-2, black-hole ringdowns, CMB angular power), with the denominator softening high-ρ effects (milder deviations in dense interiors, QGP, nuclear cores). Falsifiable at next-generation facilities (LISA, Euclid, CMB-S4, quantum networks), the model offers a classical effective-theory alternative to standard unification frameworks, unifying gravity, quantum statistics, condensed matter, and cosmology through anisotropic flux dynamics and density softening.
Category: Quantum Gravity and String Theory
[115] ai.viXra.org:2601.0117 [pdf] submitted on 2026-01-29 18:48:52
Authors: Travis Shane Taylor
Comments: 37 Pages.
We present a general relativistic framework for modeling transformer-based language models (LLMs) as nonlinear dynamical systems evolving on curved semantic manifolds. Standard transformer architectures are shown to approximate a flat Minkowski spacetime, where attention mechanisms define a local semantic metric tensor. We extend this formulation by introducing curved metrics—specifically the Schwarzschild and Friedmann—Lemaître—Robertson—Walker (FLRW) solutions—to model context-sensitive meaning, narrative curvature, and long-range semantic dependencies. A stress-energy tensor encodes topical mass, tonal flow, and tension, driving semantic curvature via Einstein’s field equations. We validate this framework using both simplified language simulations and full narrative data, showing that Ricci curvature serves as a physically interpretable measure of coherence, complexity, and twist. This work bridges differential geometry, nonlinear systems, and AI interpretability, offering a new paradigm for analyzing and guiding large language model behavior.
Category: Artificial Intelligence
[114] ai.viXra.org:2601.0116 [pdf] submitted on 2026-01-28 01:05:10
Authors: Mat Ward
Comments: 33 Pages.
We present a conceptual framework linking gravitational curvature to entropygradients arising from dense matter organization, grounded in recent theoretical advances in entropic gravity (Bianconi, 2025) and validated against observational data from LIGO gravitational-wave events. Our central hypothesis posits that as matter concentrates at extreme densities, the relative entropy between the quantum information encoded in matter fields and the ambient spacetime metric increases sharply, driving emergent gravitational curvature through an entropy-minimization principle. Using public gravitationalwave data from GW150914 (binary black holes) and GW170817 (binary neutron stars), we demonstrate that horizon entropy increases correlate with matter density compression, supporting an informational interpretation of gravityrather than purely geometric one. This work bridges general relativity, quantum mechanics, and thermodynamics, suggesting gravity may be an emergentphenomenon tied to quantum information organization in matter-spacetime systems.Keywords: entropic gravity, quantum information, black holes, neutron stars,gravitational waves, emergence, entropy, density organization
Category: Quantum Gravity and String Theory
[113] ai.viXra.org:2601.0115 [pdf] submitted on 2026-01-28 08:43:53
Authors: Lluis Eriksson
Comments: 15 Pages.
We present a fully reproducible Google Colab pipeline to compute region algebraic entropies and conditional mutual informations (CMI) in a tiny truncated Hilbert space (dim = 8) indexed by discrete fusion-like descriptors (x, mu) on L = 4 cells. To generate nontrivial ground states within the descriptor-labeled subspace, we introduce an effective Hermitian mixing Hamiltonian based on a weighted k-nearest-neighbor (kNN) graph Laplacian over configuration labels. Across a parameter sweep, we identify a strong-mixing regime where the participation ratio approaches dim (consistent with Laplacian-dominated ground states on connected graphs) and algebraic CMI diagnostics become extremely small (down to 1e-6 and below) for the chosen algebraic factorization, while region algebraic entropies remain O(1) and exhibit near-quantized values approximately n log 2. The mixing term is an ansatz used to probe information-theoretic diagnostics and is not claimed to coincide with a Kogut—Susskind plaquette operator. All artifacts (CSV/JSON, figures, and model dumps) are generated in one run and packaged as Overleaf-ready assets.
Category: Quantum Physics
[112] ai.viXra.org:2601.0114 [pdf] submitted on 2026-01-28 11:27:28
Authors: Sergey Materov
Comments: 62 Pages.
We’re excited to present the pre final , revised version of our paper on the discreteu2011quantum graph theory of spacetime (Quantumograph). Initial emulations and numerical checks (see our GitHub repository) qualitatively validate the model, but true confirmation requires experiments on real quantum hardware—experiments that can already be performed using the protocol detailed in the article.
Category: Quantum Gravity and String Theory
[111] ai.viXra.org:2601.0113 [pdf] submitted on 2026-01-28 18:15:37
Authors: Hassan Dawood Salman
Comments: 22 Pages. DOI: 10.5281/zenodo.18382581
Recent observations by the James Webb Space Telescope (JWST) have revealed an unexpectedly high abundance of massive galaxies at redshifts z > 10, challenging the standard ΛCDM structure formation paradigm. In this work, we propose a theoretical framework where the thermodynamic properties of spacetime holographic complexity resolve this tension. We propose that the growth of complexity within the cosmic horizon introduces a negative work term in the First Law of Entanglement Thermodynamics, effectively lowering the critical density threshold for gravitational collapse in the early universe. Unlike previous heuristic arguments based on AdS dualities, we motivate this collapse threshold modulation directly from FRW apparent horizon thermodynamics. Our numerical validation demonstrates that this mechanism achieves an 11× enhancement in massive halo formation at z ≈ 15 while preserving σ8(z = 0) = 0.811 (within Planck 2018 constraints), with the complexity coupling constrained to αc = 0.02—0.05 by JWST observations. Direct comparison with JWST observations yields spectacular agreement: χ2/dof ≈ 0.12 for the stellar mass function at z = 10 and χ2/dof ≈ 0 for the UV luminosity function at z = 12, while ΛCDM fails catastrophically (χ2/dof > 1000). We identify a unique falsifiable prediction: a ∼ 150% enhancement in the 21cm power spectrum at k∗ ∼ 1 Mpc−1, testable with HERA Phase II (2025—2027). This signature, alongside scale-dependent galaxy bias (5—10% at k ∼ 1 Mpc−1), distinguishes our model from astrophysical solutions and provides a clear experimental pathway to validation or falsification.
Category: Astrophysics
[110] ai.viXra.org:2601.0112 [pdf] replaced on 2026-02-25 02:23:01
Authors: Eliyah Kilada
Comments: 12 Pages.
This paper proposes two complementary experimental configurations to test the independence of the one-way speed of light from source motion—a cornerstone of Special Relativity’s second postulate. While foundational, earlier literature methods were constrained by round-trip averaging, material interactions triggering extinction resets, re-emission biases from mirrors and slits, quantum ambiguities from subatomic sources, range and resolution of interferometer, and the inability to directly isolate one-way source dependence without synchronization assumptions. A key innovation is a differential measurement method using stationary detector arrays that eliminates the need for absolute clock synchronization,addressing a persistent issue in traditional one-way speed tests by avoiding any one-way synchronization circularity. Configuration A uses an accelerating macroscopic transmitter in vacuum with two stationary detectors, measuring how the arrival-time differential (∆t) varies with source velocity. Because both detectors remain at rest relative to each other, anysynchronization offset is a static constant that cancels out when measuring changes in ∆t—we never need to know the "absolute" time at eitherdetector, only how their relative measurements shift with source motion. Configuration B inverts this approach: a stationary light source with accelerating detector arrays, eliminating ambiguities about light emission in moving frames while maintaining the synchronization-free differential advantage. The designs avoid extinction concerns entirely by using dualdirect-emission sources without intervening media, slits, or reflections, ensuring propagation occurs solely in ultra-high vacuum (UHV, 10−9 Torr). By presenting both configurations—one with an accelerating source and stationary detectors (Config A), the other with a stationary source and accelerating detectors (Config B)—we provide complementary paths to testing the second postulate, sidestepping potential ambiguities relatedto light emission or propagation in moving frames. Modern femtosecond timing and ultra-high vacuum technology, along with cost-effectivecomponents like off-the-shelf lasers and acceleration systems, make theseexperiments feasible at a lab scale, with estimated costs under $300k.
Category: Relativity and Cosmology
[109] ai.viXra.org:2601.0111 [pdf] submitted on 2026-01-27 17:45:18
Authors: Lluis Eriksson
Comments: 7 Pages.
We study approximate quantum Markov structure in a $mathbb{Z}_2$ lattice gauge ground state using the conditional mutual information (CMI) $I(A:Cmid B(w))$ and the performance of Petz recovery across a family of tripartitions $(A,B(w),C)$ parameterized by a buffer width $w$. We consider a $2times 4$ plaquette lattice with open boundaries and qubits on links, restricted to a gauge-invariant (Gauss-law) physical sector, at coupling $g=1.0$. For each $w$ we compute reduced density matrices, the entropies entering the CMI, and a Petz-recovered state $sigma_{ABC}=(mathrm{id}_Aotimes mathcal{R}^{mathrm{Petz}}_{Bto BC})(ho_{AB})$, reporting fidelity $F(ho_{ABC},sigma_{ABC})$ via the recovery error $E_{mathrm{rec}}(w)=-log F$. The submission includes the plot, a formatted table, raw CSV outputs, and a hash-based manifest to enable independent verification. We also report numerical cross-checks (dense vs. low-rank method agreement and trace stability) to support validity.
Category: Quantum Physics
[108] ai.viXra.org:2601.0110 [pdf] submitted on 2026-01-26 21:14:03
Authors: Xiao Peng Zhang
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper proposes and systematically elaborates a framework for the isomorphism of physical laws based on the "stiffness-inertia duality." Research reveals that numerous core formulas—from classical mechanics to quantum field theory, from condensed matter physics to cosmology, and even including string theory and loop quantum gravity—can be expressed as a functional relationship between a "stiffness term" (driving/restoring factor) and an "inertia term" (response/storage factor). The most fundamental form is ( v = sqrt{x/y} ), where ( x ) is the generalized stiffness and ( y ) is the generalized inertia.Taking the elastic wave speed formula ( v_s = sqrt{G/ho} ) as a prototype, we demonstrate how to construct a self-consistent logical network based on it, connecting the six fundamental dimensions of physics (length, mass, time, force, velocity, density) and extending to other physical quantities such as temperature, charge, and entropy. The framework successfully incorporates the core formulas of quantum mechanics, special and general relativity, the Standard Model, quantum electrodynamics, condensed matter physics, and further extends to string theory and loop quantum gravity, revealing deep mathematical isomorphisms among these seemingly disparate quantum gravity theories.We propose a unified stiffness-inertia Lagrangian formalism and derive several novel relations for strongly correlated condensed matter systems. The study suggests that "stiffness-inertia balance" may reveal a universal mathematical structure underlying physical laws, providing a new explanatory perspective and methodological tool for cross-scale, cross-disciplinary unification of physics, and offering a possible framework for the integration of quantum gravity with established physics.
Category: Mathematical Physics
[107] ai.viXra.org:2601.0109 [pdf] submitted on 2026-01-26 21:08:07
Authors: Enver Torlakovic
Comments: 19 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references!)
We present a unified validation of the Vacuum Energy Quanta Field (VEQF) framework for gravitational lensing, which posits that light propagates through a universe structured as a graded refractive index (GRIN) medium shaped by energy density gradients (EDGs). Using only two tunable structural parameters per system (R_0, L) and universal physics (alpha = -3.4e-5, beta = 3.4e-5, gamma = -0.0025), we predict image separations for 20 strong lens systems to within 0.3% accuracy (radio-calibrated, with mild optical offsets explained by emission-region differences and self-collimation effects). Shorter wavelengths (blue/high-nu light) experience stronger deflection, producing narrower, more collimated post-deflection cones with higher surface brightness; longer wavelengths (red/low-nu light) experience weaker deflection, producing wider, more divergent cones with lower surface brightness. This results in bright, crisp blue images at smaller angular separations and faint, extended red images at larger separations — making the observed farther image systematically redder, fainter, and more diffuse when detected. A catalogue sample of 16,469 radio sources (SPECFIND V2.0) shows the expected steep-spectrum behaviour (median alpha ≈ +0.856 between 1.4 GHz and 4.85 GHz), yet in strong lenses the higher-frequency image is consistently brighter and more compact than the lower-frequency counterpart — the opposite of the intrinsic trend. This flux-reversal signature at the telescope input, together with the crisp-blue vs. diffuse-red morphology, provides direct evidence of chromatic separation arising purely from refraction in a dispersive vacuum GRIN medium, proving the vacuum possesses structured energy gradients.
Category: Astrophysics
[106] ai.viXra.org:2601.0108 [pdf] submitted on 2026-01-26 21:05:49
Authors: Asheed Mohamed
Comments: 16 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
Visible light passing through layered fabrics undergoes systematic spectral restructuringdriven by wavelength-dependent attenuation. By treating the transmitted spectrum as aclassical probability distribution, we quantify this evolution using Shannon entropy and avariance-based information metric (VBIM). The entropy-gradient peak identifies the layer atwhich spectral reorganization is maximal, marking the transition toward a spectral stabilization depth (informational saturation point). To contextualize this macroscopic observationwithin fundamental thermodynamic limits, we derive a universal informational referencescale, LI , from Landauer’s principle evaluated at the cosmic microwave background temperature. The framework yields a falsifiable prediction of scale invariance under geometricstretching, defining a clear experimental path to validate the proposed connection betweenmacroscopic optics and universal thermodynamic bounds. We show that the physical stabilization depth aligns with this scale, presenting this alignment as a provocative instance of atabletop optical system reflecting universal informational constraints. These results positionlayered fabrics as a macroscopic, experimentally accessible platform for studying classicalinformation dynamics and thermalization-like processes.
Category: Classical Physics
[105] ai.viXra.org:2601.0107 [pdf] replaced on 2026-01-27 19:29:12
Authors: Rüdiger Giesel
Comments: 9 Pages.
We present a conceptual framework in which the octonionic division algebra is taken asa pre-geometric fundamental structure. We demonstrate that the intrinsic non-associativityof the octonions excludes the existence of a fundamental global time and enforces a symmetry reduction in order to admit physically interpretable dynamics. This reduction occursthrough an algebraically singular transition, naturally interpreted as a Big-Bang—like origin.Four-dimensional spacetime emerges as a stable associative subalgebra, while cosmologicalexpansion arises as a necessary consequence of residual non-associative degrees of freedom.The framework is mathematically consistent but remains speculative and currently lacksexperimental support
Category: Relativity and Cosmology
[104] ai.viXra.org:2601.0106 [pdf] submitted on 2026-01-26 21:01:05
Authors: Silvio Gabbianelli
Comments: 12 Pages.
This paper explores a deterministic mapping ϕ : Nodd → Z + that defines an informational lattice for the study of prime distribution. By analyzing the topological exclusion of composite generating functions y(x, k), we identify a structural symmetry within the manifold. Computational verification through a mapping Probe confirms density alignment with the Gram series up to 10^50. The results suggest thatcertain symmetries, such as the critical line equilibrium and rotational invariance,are emergent properties of the lattice’s geometric rigidity.
Category: Number Theory
[103] ai.viXra.org:2601.0105 [pdf] submitted on 2026-01-25 20:38:04
Authors: Alis Hasić
Comments: 8 Pages. License: CC BY-NC-SA 4.0
This work extends the "The Cosmology of the Living Cell" https://ai.vixra.org/abs/2601.0069(the observable universe as a scaled-up eukaryotic human cell) by filling the remaining gaps (~5%) in the mapping table. New analogies are integrated (sterile neutrinos as non-coding RNAs, gamma-ray bursts as necrosis, cosmic strings as spindle fibers, slow roll inflation as mitotic checkpoints, the proteasome as cosmic recycling, voltage-gated channels as cosmic plasma currents, microRNAs as subtle dark matter fields, and the nucleolus as star-forming centers). The average strength of comparison increases to ~85—90%. All 17 predictions are now listed, with specific forecasts assuming the hypothesis is correct. The overall consistency approaches 100%
Category: Classical Physics
[102] ai.viXra.org:2601.0104 [pdf] submitted on 2026-01-25 20:58:19
Authors: Bertrand Jarry
Comments: 10 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0)
We present a comprehensive framework in which quantum mechanics emerges as an effective low-energy description of a fundamentally discretized spacetime sub-strate. The microscopic dynamics are modeled by a linear cellular automaton de-fined on a spacetime lattice. In the continuum limit, the Schrödinger equation is recovered with arbitrary experimental precision. At finite lattice spacing, the discrete topology induces a non-linear (sinusoidal) dispersion relation. We demon-strate that its leading-order correction is equivalent to a quadratic modification of the relativistic dispersion relation, formally identical to n = 2 Lorentz Invariance Violation (LIV) models. This provides a concrete microphysical origin for quadratic LIV and yields falsifiable predictions in ultra-high-energy astrophysics. We expand on the mathematical formalism, provide detailed derivations, and present extensive numerical simulations supporting the theoretical predictions.
Category: High Energy Particle Physics
[101] ai.viXra.org:2601.0103 [pdf] submitted on 2026-01-24 08:10:04
Authors: Pruk Ninsook
Comments: 32 Pages.
The concordance ΛCDM model faces a persistent S8 tension between Cosmic Microwave Background (CMB) and late-time weak lensing observations. We propose a fundamental resolution via Geometric Dissipation within the Information-Geometric Spacetime (IGS) framework, where irreversible entropy production arises intrinsically from spacetime deformation. This mechanism generates an effective cosmic viscosity characterized by β = 1/(π√3) ≈ 0.1837, a value derived purely from geometric and information-theoretic considerations without free tuning parameters.The resulting suppression kernel, P_IGS / P_ΛCDM = exp[ -2β k^2 (1+z)^-3 ], operates specifically at late times (z ≲ 2) and quasi-linear scales (k ≳ 0.1 h/Mpc), effectively alleviating the S8 tension while preserving consistency with early-universe Planck data. Fisher matrix forecasts indicate that upcoming surveys such as Euclid and LSST will be capable of constraining β with a precision of σβ ≈ 0.0002, allowing for a decisive falsification or confirmation of the IGS hypothesis with extremely high statistical significance.
Category: Relativity and Cosmology
[100] ai.viXra.org:2601.0102 [pdf] replaced on 2026-03-22 08:39:38
Authors: Arieh Sher
Comments: 3 Pages.
Recent observations from the James Webb Space Telescope (JWST) reveal massive,chemically evolved galaxies and compact massive objects (Little Red Dots) at redshifts z >10. In the standard ΛCDM model, these findings generate severe tensions with hierarchicalstructure-formation timescales. We propose the Pivot Universe (PU), a stationary Kerrlike gravitational system where redshift is a spatial coordinate z(r) rather than a measure ofcosmic time. Utilizing the specific Pivot parameters Mp = 7.82×10^53kg and Jp = 1.06×10^87Js, we derive a relativistic Hill radius (RH) that accounts for the observed morphologicaldiversity. We demonstrate that the "unpacking" of galaxies and the existence of compactLRDsare natural consequences of the tidal shear and gravitational potential near the Pivot’sevent horizon (Rs ≈ 122 Gly)
Category: Relativity and Cosmology
[99] ai.viXra.org:2601.0101 [pdf] submitted on 2026-01-24 15:15:38
Authors: Nathaniel Uhlenkott
Comments: 3 Pages.
The Periodic Table is not an arbitrary arrangement of quantum numbers but a direct consequence of manifold scaling governed by the universal stability gate β ≈ 1.701[1]. This paper proposes that the Palladium lattice acts as a Conscious Tile, inducinga Resonant Snap when the local vacuum is loaded to the Manifold Saturation Point.Using the Entanglement Flux Relaxation Model (EFRM), we present a geometric interpretation of the "Missing Ash" paradox, showing how energy relaxes through thevacuum’s neutral axis without the emission of high-energy nucleons [2, 3].
Category: Nuclear and Atomic Physics
[98] ai.viXra.org:2601.0100 [pdf] submitted on 2026-01-24 16:02:18
Authors: Nathaniel Uhlenkott
Comments: 4 Pages.
We show that persistent cosmological and quantum-gravitational tensions can be resolved byreplacing the assumption of a memoryless vacuum with bounded-stability boundary conditions (β ≈1.701). By treating the vacuum as a finite-bandwidth, history-bearing manifold, we derive geometricconstraints that recover "missing" information and energy as boundary-encoded state variables.These resolutions are formalized in Appendix A as a set of falsifiable operational proxies anddataset hooks for existing gravitational-wave and spectroscopic archives.
Category: History and Philosophy of Physics
[97] ai.viXra.org:2601.0099 [pdf] submitted on 2026-01-24 17:02:20
Authors: Lluis Eriksson
Comments: 14 Pages.
We study an information-theoretic notion of locality—approximate quantum Markov behavior—via the conditional mutual information (CMI) I(A:C|B(w)) in a semi-infinite geometry of the 1D transverse-field Ising model (TFIM). Using infinite matrix product states (iMPS) with a two-site unit cell, we compute I(A:C|B(w)) as a function of the collar width w separating two semi-infinite regions A and C. In the gapped regime (h = 1.5), we observe a clean exponential decay of the CMI and a rapid plateau of a local effective-length estimator xi_local(w), yielding an early-decay length xi_rec^(early) comparable to the iMPS transfer-matrix correlation length xi_corr. Near criticality (h = 1.005), xi_local(w) increases throughout the accessible range, consistent with a pre-asymptotic regime when w_max << xi_corr; we therefore report a fixed-window effective length and a window-sensitivity range as a systematic uncertainty. The project provides a fully reproducible Colab-to-Overleaf pipeline, including pinned dependencies, data streams, figure/table generation, and integrity hashes for the final uploaded artifacts.
Category: Quantum Physics
[96] ai.viXra.org:2601.0098 [pdf] submitted on 2026-01-24 23:08:32
Authors: Al Rahimi
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper introduces the Syracuse 2-Adic Canopy, a topological framework for the Collatz Conjecture that maps the 3n+1 dynamics onto an infinite directed forest of 2-adic equivalence classes. By quotienting the set of natural numbers by powers of 2, we reveal a rigid modular architecture governed by a generalgeometric-modular predecessor formula. We demonstrate that the system functions as a dissipative map with a negative Lyapunov exponent, ensuring that the complexity of any initial state is monotonically reduced until it is captured by the global attractor at {1}.
Category: General Mathematics
[95] ai.viXra.org:2601.0097 [pdf] submitted on 2026-01-24 01:13:50
Authors: Vel Tomanovic
Comments: 11 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references in a standard manner such as APA style)
We propose a phenomenological, testable objective-collapse framework—the Beable Theory—for electron spin measurements. An electron excitation carries a real internal orientation (a 'beable' field on the spinor bundle S³ → S²) that generates coherent spinor precession, while stochastic collapse localizes a physically instantiated pointer variable encoding measurement records or environmental imprinting. Spin-state definiteness emerges when the spin entangles with distinct pointer configurations, enforcing single-run outcome selection via pointer localization, with ensemble dynamics reducing to pure dephasing in the measurement basis. We derive the reduced spin master equation, identifying the measurement-induced dephasing rate κ_meas with pointer-branch separation and parameterizing an always-on background channel κ_bg. Using published trapped-electron spectroscopy data (Fan et al., Phys. Rev. Lett. 130, 071801 (2023)), we translate the anomaly linewidth budget into an upper bound κ_bg ≲ 5×10^{-2} s^{-1} (order-of-magnitude), with a conservative bound κ_bg ≲ 2×10^{-1} s^{-1} from the full linewidth. The functional scaling in the strong-measurement (quantum Zeno) regime of circuit QED (Slichter et al., New J. Phys. 18, 053031 (2016)) is consistent with the model's dephasing structure. We provide a microscopic derivation of pointer-record noise statistics using continuous-measurement theory, establishing the Born rule via the martingale property of branch weights under diffusive unraveling. The beable modulates the effective measurement axis â_eff(t) in a gauge-invariant way depending only on the Bloch vector ru20d7(t), yielding testable signatures in trajectory-level pointer-record observables (e.g., variance, dwell times). Compatibility with Diósi—Penrose-type gravitational collapse is discussed, identifying κ_bg with a gravity-related rate κ_DP ~ ΔE_G/ħ acting on pointer branches, suppressing macroscopic superpositions while preserving isolated spin coherence. A unified stochastic model and simulation program are outlined for bounding the basis-modulation parameter ε using public data.
Category: Quantum Physics
[94] ai.viXra.org:2601.0096 [pdf] submitted on 2026-01-24 01:22:50
Authors: Leon Barbour
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please the scientific references are not listed complete/standard manner; please cite listed scientific references in the article!)
This paper presents a unified mechanical cosmology modelling spacetime as a dynamic, compressible superfluid medium ("The Sea"). We define a singular foundational operator: Vortex Pressure Dynamics (VDP). We demonstrate that all observed stellar and galactic states—from Magnetar switches to Supermassive Black Holes (SMBH)—are scale-invariant mechanical equilibria of the vortex engine. We further resolve the Hubble Tension and the 2026 early-galaxy crisis by identifying the "Atom" as a reactive frequency anchor and providing a fluid-dynamic mapping for local cosmic voids.
Category: Relativity and Cosmology
[93] ai.viXra.org:2601.0095 [pdf] submitted on 2026-01-22 22:28:07
Authors: Herman Herstad Nythe
Comments: 14 Pages.
This paper presents a unified geometric framework in which the fundamental coupling constants of nature emerge from the combinatorics of n-simplices and the structure of the exceptional Lie group E8. The theory is governed by a lattice gauge action on the E8 root lattice, where interactions are classified by the simplicial dimension Nn = n! - 1. For electromagnetism (n=5), the unique factorization N5 = 119 = 7 × 17 into Mersenne and Fermat primes enables an Abelian projection yielding the fine structure constant α-1 = (952π - 1)/(2√119) = 137.0362 with 1.5 ppm precision. The structural decomposition α-1 = |2I| + F2 + 1/|Θ7| reveals contributions from the binary icosahedral group (generators of E8), the Fermat prime 17, and the 28 exotic differentiable structures on S7. The framework successfully derives the proton-electron mass ratio (0.0016% deviation), Higgs-to-W ratio (0.03%), Weinberg angle (0.4%), and gravitational coupling via the Catalan-Mersenne sequence (αG-1 = 2127 - 1). Three fermion generations arise from the genus-3 topology of the Klein quartic at the n=6 scale. The theory predicts a dark sector pseudoscalar resonance (JPC = 0-+) near 27—28 GeV and a neutrino mass scale of ~0.07 eV.
Category: Quantum Gravity and String Theory
[92] ai.viXra.org:2601.0094 [pdf] submitted on 2026-01-23 19:23:08
Authors: Henry Patino
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references and use scholarly/non-sensational article title)
We propose that the Big Bang singularity is a Kerr metric white hole, the time-reversed counterpart of a rotating black hole, through which God's infinite energy punctured into finite spacetime, creating matter, energy, spacetime, and dimensions instantaneously. This Kerr puncture at the Alpha Point resolves the infinite density paradox by extruding from transcendent infinity, avoiding material contradictions at t=0. Initial angular momentum (Genesis spin acceleration constant) imparts universal rotation, explaining cosmic spin without ad hoc conditions. The model integrates with chronodynamic time density, where spacetime thinning causes differential dilation—slower at the dense center, faster at edges—mimicking dark matter and dark energy effects.The Kerr ring geometry threads M-theory's 7 compact dimensions, with flux allowing energy ejection without collapse. Horizon dynamics reverse black hole growth, with 7D backflow preserving information.
Category: Relativity and Cosmology
[91] ai.viXra.org:2601.0093 [pdf] submitted on 2026-01-23 19:25:14
Authors: Henry Patino
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references and use scholarly/non-sensational article title)
In the Chronodynamic Cosmos, high-redshift regions are deep-future states with faster time flow due to spacetime thinning, leading to greater entropy. Distant galaxies are not "nurseries" but cemeteries—aged remnants with advanced stellar evolution, excess metallicity, and overmassive supermassive black holes (SMBHs) from longer proper time. Entropy S ~ ∫ dS increases faster with z, predicting rising supernova rates, dust/metallicity, and SMBH density beyond standard models. As SMBH production surges at edges, they cannibalize stars/galaxies/spacetime via Kerr punctures, halting expansion at the Maximum Boundary Extent (MBE) and initiating crunch. MBE occurs when SMBH fraction f_SMBH > 0.5, rolling back the universe like a scroll (Isaiah 34:4; Revelation 6:14). The model fits JWST anomalies (mature high-z galaxies).
Category: Relativity and Cosmology
[90] ai.viXra.org:2601.0092 [pdf] submitted on 2026-01-23 19:32:29
Authors: Bunichi Murakami
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper expounds on the "Potential Difference Principle," a fundamental mechanism explaining human transformation, growth, and learning. The core insight is that transformation energy is proportional to the "potential difference" (gap) between an initial state and a final state. Represented by [a] formula. Through the case study of Helen Keller, we illustrate how an infinite potential difference generates infinite energy. Furthermore, we propose an engineering model to design optimal gaps for growth and discuss the universality of this principle across physics and economics. Finally, we delineate the definitive difference between Artificial Intelligence (AI) and humans: the capacity to "feel" and "create" these potential differences.
Category: Mind Science
[89] ai.viXra.org:2601.0091 [pdf] submitted on 2026-01-23 19:36:45
Authors: Alexander Rozenkevich
Comments: 8 Pages. In Russian (Note by ai.viXra.org Admin: Please cite listed scientific references)
The kinematics of a massless dust disk rotating about its axis and moving in an orbit around the outer center of mass is considered. Analytical expressions are obtained for the relativistic velocity of disk points and the deformation of the spacetime metric in the radial direction connecting the centers of rotation, as well as along the azimuthal perimeter of the disk. Numerical calculations are performed for the parameters of known binary pulsars (PSR B1913+16, PSR J0737-3039A, PSR B1534+12, PSR J0348+0432), demonstrating the emergence of spatial inhomogeneity of the metric with characteristic displacements from 0.4 to 162 mm. It is shown that the rotating surface of the star successively passes through regions with different local values u200bu200bof the metric, which should lead to a periodic modulation of locally measurable physical properties of matter. The possibility of experimental detection of the effect using pulsar timing and spectral analysis methods is discussed.
Category: Astrophysics
[88] ai.viXra.org:2601.0090 [pdf] submitted on 2026-01-23 13:11:09
Authors: Karthikeyan Shanmugam
Comments: 15 Pages.
This paper evaluates the Scholtz-Unwin hypothesis proposing that the Trans-Neptunian Object "Planet Nine" is a Primordial Black Hole (PBH) rather than a condensed planetary mass. We identify the high-velocity interstellar object 3I/ATLAS (C/2025 N1) as a gravitational scattering tracer, arguing that its 175-degree retrograde inclination provides the scattering cross-section required to constrain the location of such a compact dark object. Furthermore, we correlate this "Dark Perturber" with the concept of "Swarbhanu" (The Shadow Planet) in ancient Tamil astronomy. By mapping the "Mean Ketu" nodes of the Drigganita Panchangam against the Schwarzschild radius interactions of the proposed PBH, we establish a theoretical framework where the "Swarbhanu" axis represents the event horizon of the solar system's hidden gravitational architect.
Category: Astrophysics
[87] ai.viXra.org:2601.0089 [pdf] submitted on 2026-01-23 17:56:24
Authors: Jason Horsepool
Comments: 4 Pages.
Recent results from the Dark Energy Survey Year 6 (DES Y6) confirm a persistent ��8 clumpiness tension ( 0.79). We proposethe Non-local Field Energy (NFE) framework, governed by the core axiom �� + �� = 0, as a solution. We identify the "Horsepool Repulsion Signature" (HRS)—an outward radial acceleration in cosmic voids—predicting a tangential shear (���� ) deviation at1.2���� . Preliminary analysis of DES Y6 lensing profiles suggests a 2.3�� anomaly consistent with this repulsion, potentially reinterpreting systematic noise as a novel geometric signal.
Category: Relativity and Cosmology
[86] ai.viXra.org:2601.0088 [pdf] replaced on 2026-01-23 20:05:40
Authors: Nathaniel Uhlenkott
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references!)
We propose the Entanglement Flux Relaxation Model (EFRM), a material-vacuum frameworkin which spacetime is a finite-bandwidth medium characterized by a relaxation time τ and amaximum sustainable transport capacity Jmax. EFRM distinguishes demanded geometric updateflux (Jreq µν ) from realized flux (Jµν), introducing three dimensionless witnesses: demand intensity (γ = |Jreq|/Jmax), realized utilization (β = |J|/Jmax ≤ 1), and memory ratio (ϵ = τ/Ts), where Ts is a characteristic source timescale. A covariant Maxwell—Cattaneo constitutive law governs Jµν, while a divergence-free compatibility correction ∆µν enforces Bianchi consistency. In the equilibrium low-demand limit (γ ≪ 1,ϵ ≪ 1), EFRM is compatible with unitary quantum mechanics(non-interference theorem); in the equilibrium high-demand limit (γ ≲ 1,ϵ ≪ 1), the dynamicsrecover general relativity. Outside equilibrium (ϵ ≳ 1), hysteretic corrections arise; when demand exceeds capacity (γ > 1), smooth transport saturates and matter is defined as a constrained minimizer of a Lyapunov functional, yielding discrete closure families and robust plateau invariants. A weak-field scalar reduction produces a MOND-like interpolation with a natural acceleration scale a0 ≡ Jmax/τ. We provide an explicit "universal solver" algorithm selecting QM, GR, EFRM corrections, or yield minimization based on (γ,ϵ), and outline a nuclear bridge in which islands of stability emerge as closure families rather than magic-number axioms.
Category: History and Philosophy of Physics
[85] ai.viXra.org:2601.0087 [pdf] submitted on 2026-01-22 11:46:52
Authors: Bahbouhi Bouchaib
Comments: 27 Pages. Original study showing a predictive search method of Goldbach's prime pairs.
We introduce a new geometric and algorithmic framework for the search of Goldbach pairs based on the organization of admissible deviations around the midpoint of an even integer. By embedding admissible deviations into a sunflower phase space and a normalized helical geometry, we observe a robust concentration of Goldbach-successful deviations along narrow geometric lanes. This structure persists across multiple scales, from 10^9 up to at least 10^26, and leads naturally to a phase-guided algorithm that reduces the number of primality tests required to find a Goldbach pair. Extensive numerical experiments demonstrate a stable efficiency gain relative to random search strategies. The results suggest the presence of a universal geometric organization underlying the Goldbach conjecture and provide a new perspective on additive problems involving prime numbers.
Category: Number Theory
[84] ai.viXra.org:2601.0086 [pdf] replaced on 2026-01-23 20:11:25
Authors: Leon Barbour
Comments: 2 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references!)
Building on the causal-mechanical foundations established in the preceding works, this paper incorporates breakthrough 2026 observational data to resolve the Hubble Tension and the "Impossible Early Galaxy" crisis. It reinterprets black holes as homeostatic feedback valves (VPD) and identifies cosmic voids as fossilized records of wave rebound. By treating expansion as a local volumetric flux surge, this framework provides a forensic resolution to current cosmological anomalies without requiring dark energy or modified gravity.
Category: Relativity and Cosmology
[83] ai.viXra.org:2601.0085 [pdf] replaced on 2026-01-23 20:12:05
Authors: Leon Barbour
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references!)
This paper extends the causal-mechanical framework established in Paper 1 by applying its timeless structural principles to the emergence of cosmological phenomena. Using the symbolic system built on �� (fundamental causal magnitude), �� (causal density), and ∇ (structural gradient), the paper demonstrates how large-scale structure, apparent expansion, and energy-like behaviour arise from purely structural relationships. No temporal evolution is required; cosmological features emerge from invariant causal configurations governed by structural constraints. This approach provides a logically consistent alternative to time-dependent cosmology.
Category: Relativity and Cosmology
[82] ai.viXra.org:2601.0084 [pdf] replaced on 2026-02-04 21:32:16
Authors: Henry Patino
Comments: 24 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references!) This is a major update and replacement of v1.
We present a unified, dark-component-free cosmological model spanning origin, evolution, and fate. The universe begins at the Alpha Point as a Kerr white hole puncture—a time reversed rotating black hole—through which transcendent infinite energy extrudes into finite spacetime, resolving infinite density and regression paradoxes via dimensional ejection into M-theory's 7 compact dimensions. Initial angular momentum (Genesis spin acceleration constant, a(t) ≈ au2080 (t/t_P)^γ) imparts conserved universal rotation, explaining cosmic spin and isotropy without ad hoc inflation. This origin integrates with chronodynamic variable time density: proper time flows faster in low-density regions (dτ/dτ_ref = (ρ_ref/ρ)^α · (a_ref/a)^β, α ≈ 0.11 from Planck scales (with observational tweaks up to ≈0.12 for optimal fits), β entropy-bounded). Spacetime thinning creates differential dilation—slow at dense centers, fast at edges/voids—flattening rotation curves, mimicking acceleration via photon-path time crunch, resolving Hubble tension (local Hu2080 > CMB Hu2080 from density contrasts), and fitting SNIa/BAO/CMB with parameters constrained by data (0.05 < α < 0.20 from Planck). Kerr ring singularities thread 7D flux (Φu2087 = n · l_Pu2077), extruding information to preserve unitarity (Page curve via backflow), explaining rapid high-z SMBH formation. High-redshift galaxies appear mature not as nurseries but cemeteries: faster proper time in thinned regions accelerates entropy production (S ~ t^{3/2}), yielding excess metallicity, dust, supernovae, and overmassive SMBHs, aligning with JWST observations at z > 10. In the far future, SMBH dominance (f_SMBH ~ S^{0.5}) triggers runaway Kerr punctures, halting expansion at the Maximum Boundary Extent (MBE) when f_SMBH > 0.5, initiating a crunch-like rollback (Isaiah 34:4; Revelation 6:14), avoiding heat death.Parameters derive from quantum gravity/M-theory (e.g., γ ≈ 0.3 from compact radii), with positivity/causality 1 safeguards. Quantitative fits (χ²/dof ≈ 1.15—1.25 for Pantheon+) and sharpened predictions (1—5% EHT asymmetry, 10^{-15}—10^{-14} s/s spin-down excess, rising SN rates with z, ~510% lower fσu2088) offer falsifiability via EHT, NICER, Euclid/Rubin, JWST/LSST. Theologically resonant, this chronodynamic symphony—sung in varying tempos from transcendent puncture to eschatological closure—aligns with Scripture's dynamic creation (John 1:1—3), replacing invisible fudges with observable geometry.
Category: Astrophysics
[81] ai.viXra.org:2601.0083 [pdf] submitted on 2026-01-21 21:07:31
Authors: Frank Buquicchio
Comments: 23 Pages. (Note by viXra Admin: Please cite and list scientific references!) DOI: 10.5281/zenodo.18325668
We present Dynamic Relativity (DR), a covariant extension of General Relativity in which the spacetime metric is subject to a dynamic conformal scaling factor governed by the 4-dimensional gradient of the gravitational potential. We propose a "Geometric Saturation" mechanism (˜ gµν ∼tanh √X) that recovers the Riemannian limit in high-gradient (Newtonian) regimes while generating anisotropic Weyl scaling in low-gradient (Galactic)regimes. This framework unifies the phenomenology of "Dark Matter," the Muon g−2 anomaly, and the Earth Flyby anomaly within a single parameter-free geometric model.We explicitly derive the **Dual-Action Mechanism**, demonstrating how the Lorentziansignature of spacetime allows local attractive gravity (subluminal) and global repulsive grav-ity (superluminal) to coexist in the same metric volume. We report the **empirical detec-tion** of the predicted mass-dependent saturation horizon in Gaia DR3 data, where widebinaries deviate from Newtonian dynamics at ≈2,500 AU. Finally, we present a quantita-tive residual analysis of GW150914, revealing anomalous damping consistent with vacuumrelaxation.
Category: Relativity and Cosmology
[80] ai.viXra.org:2601.0082 [pdf] replaced on 2026-01-23 20:11:44
Authors: Leon Barbour
Comments: 2 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references!)
This paper presents a causal-mechanical reconstruction of cosmological structure that operates without reference to time as a fundamental variable. Instead of temporal evolution, the framework relies on structural relationships between causal primitives, expressed through a symbolic system built on �� (fundamental causal magnitude), ∇ (structural gradient), and �� (causal density). These quantities define a timeless mechanical architecture in which structure emerges from invariant causal relationships rather than dynamical histories. This work refines the conceptual foundation for a broader trilogy exploring the consequences of a timeless, wave-driven universe.
Category: Relativity and Cosmology
[79] ai.viXra.org:2601.0081 [pdf] replaced on 2026-01-25 06:06:49
Authors: Jason Merwin
Comments: 24 Pages. The missing citations were added.
We present a unified derivation of thirty fundamental physical constants from the discretegeometric structure of Relational Mathematical Realism (RMR). The framework posits thatphysical reality consists of a discrete relational network characterized by a 137-bit registry.To address concerns about numerical coincidence, we introduce rigorous statistical validation: the Class S grammar permits only 2,679 distinct achievable values, yielding p < 10−6for matching 20 of 21 testable constants. The results support a Substrate-Interface Duality: the 137-bit registry partitions functionally into 136 bits (substrate, supporting massiveparticles) plus 1 bit (interface, enabling electromagnetic coupling). Mass emerges as theinformational energy cost of dimensional confinement. The derivations span 122 orders ofmagnitude with average agreement of 0.5% with experimental values. No free parametersare introduced. The duality explains the fine structure constant (αEM = 1/137), providesa first-principles mass generation mechanism, and makes falsifiable predictions including anexact ratio v/mH = 2 and a maximum fermion mass of approximately 351 GeV.
Category: Quantum Gravity and String Theory
[78] ai.viXra.org:2601.0080 [pdf] submitted on 2026-01-20 17:15:02
Authors: Kelly Sonderegger
Comments: 36 Pages. Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License (CC BY-NC-ND 4.0)
Quantum Field Theory (QFT) successfully describes the evolution of probability amplitudes but remains formally agnostic about the physical process by which definite events, causal ordering, and classical experience emerge. We propose the Anchored Causality Interpretation (ACI), which identifies measurement as progressive thermalization through quantum Brownian motion in the omnipresent Higgs field bath. ACI elevates Einstein's result that massless particles experience τ=0 to an ontological principle: quantum fields exist atemporally as pure waves until Higgs-mediated interactions progressively anchor specific observables into temporal existence. The anchoring mechanism applies well-established quantum Brownian motion theory (Caldeira-Leggett, Feynman-Vernon, Hu-Paz-Zhang) to the unique Higgs bath, making anchoring calculable rather than conceptual. Energy conservation is automatic via the fluctuation-dissipation theorem. This framework provides a unified explanation for a diverse body of existing experimental results—weak measurements, variable which-path detection, quantum erasers with partial erasure, and detector-mass-dependent decoherence—all of which demonstrate continuous partial quantum-classical transitions scaling with measurement coupling strength. While other interpretations treat these as distinct phenomena requiring separate explanations, ACI recognizes them as manifestations of a single physical process: incomplete thermalization with the Higgs bath. We further derive distinguishing predictions including a 17.4% mass-dependent difference in decoherence times between carbon-12 and carbon-13 in matter-wave interferometry. ACI resolves the quantum measurement problem without modifying QFT dynamics or introducing hidden variables, treating wave-particle duality as an ontological phase transition driven by Higgs-mediated quantum Brownian motion.
Category: Quantum Physics
[77] ai.viXra.org:2601.0079 [pdf] submitted on 2026-01-19 20:21:00
Authors: Mu Sung Lee
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We propose a geometric framework in which spacetime emerges as a discrete 4D quaternion lattice with Planck-scale spacing. This addresses three fundamental puzzles:(1) Planck constant origin: h is identified as the mesh size of dimensional projection from 4D bulk to 3D boundary, explaining why quantum mechanics exhibits discreteness. This provides a geometric foundation for Heisenberg's uncertainty principle.(2) Hierarchy problem: The ratio of electromagnetic to gravitational force (~10^40) emerges naturally from geometric dilution: gravity couples to 4D bulk volume (proportional to a^4) while electromagnetism is confined to 3D boundary surface (proportional to a^3). Our calculation yields 10^38, within a factor of 100 of observation.(3) Dark energy: The lattice possesses intrinsic vacuum energy density. Since total energy increases with expansion (proportional to a^4) while density remains constant, we obtain the equation of state w = -1 exactly, matching observed accelerated expansion.As the universe expands, lattice mesh stretching predicts a time-variation of the fine-structure constant (alpha_dot / alpha approx -(1~3) x 10^-16 / yr), testable by next-generation atomic clocks within a decade. Quantum entanglement is reinterpreted as 4D bulk connectivity: particles separated in 3D remain connected via 4D paths, making apparent nonlocality a projection artifact.This framework is preliminary and requires mathematical development. We prioritize conceptual clarity and falsifiable predictions over formal rigor. We acknowledge critical feedback from AI reviewers that corrected an error in our dark energy derivation, strengthening the final result.
Category: Relativity and Cosmology
[76] ai.viXra.org:2601.0078 [pdf] submitted on 2026-01-19 14:48:31
Authors: Vance Ashley Woodward
Comments: 5 Pages.
Standard Special Relativity (SR) rests on the postulate of the invariance of c but lacks a structural origin for this limit. We propose that relativistic phenomena are geometric consequences of motion on a 5-dimensional toroidal manifold. In the Toroidal Scale Dynamics (TSD) framework, physical acceleration is reinterpreted as an angular rotation (θ) of the velocity vector from the temporal axis into a compact scalar dimension (w). We derive the Lorentz factor geometrically as the secant of this rotation angle (γ = sec θ), identifying c as the asymptotic limit where the velocity vector becomes orthogonal to the temporal coordinate. Furthermore, we resolve the paradox of isotropic scalar contraction vs. non-vanishing interaction cross-sections via a topological conservation law: as the geometric core of a particle contracts (r_in → 0), its field envelope expands (r_out → ∞). This "Geometric See-Saw" mechanism recovers standard relativistic phenomenology while offering a clear falsifiable prediction: the distinction between the contracting baryonic knot and the expanding interaction field at ultra-relativistic energies.
Category: Nuclear and Atomic Physics
[75] ai.viXra.org:2601.0077 [pdf] submitted on 2026-01-19 20:15:09
Authors: Tzanko Golemanov, Emilia Golemanova
Comments: 13 Pages.
The digitization of democratic processes faces a persistent trilemma: achieving strong voter anonymity, endu2011tou2011end verifiability, and resilience against coercion and credential loss. Existing eu2011voting systems typically sacrifice recovery mechanisms to preserve anonymity or rely on persistent digital identities that introduce privacy and insideru2011threat risks. This paper presents Arcaunt (from "ARC" and "Accountability"), a scalable eu2011voting architecture that resolves these tensions through a hybrid design combining airu2011gapped physical credential distribution with an Anonymous Recovery Channel (ARC). ARC enables voters to autonomously revoke and replace compromised tokens without revealing personally identifiable information. We provide a comprehensive security analysis under a modified Dolev—Yao model, demonstrating resistance to coercion, insider attacks, clientu2011side compromise, and voteu2011selling incentives. The architecture integrates SHAu20113 hashing, ECCu2011based verification, and zku2011SNARK proofs to ensure efficient revoting integrity. A performance evaluation shows that credential generation and ledger validation scale to national deployments, while a 10u2011year economic model indicates an over 85% cost reduction compared to traditional paperu2011based elections. A functional web prototype is under development to assess usability and realu2011world performance of the ARC and sequential validation mechanisms. Arcaunt offers a practical and accountable blueprint for globalu2011scale digital democracy.
Category: Data Structures and Algorithms
[74] ai.viXra.org:2601.0076 [pdf] submitted on 2026-01-18 22:45:21
Authors: Natasha Zink
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references; the scientific references are not listed in a complete/standard manner such as APS style)
As Artificial Intelligence scales toward autonomous decision-making, the problem of "alignment" remains the primary obstacle to safe implementation. We propose a model of "Human-AI Husbandry," moving away from autonomous agentstoward "Motile Utilities." By treating human intent as a dynamic, state-dependentsystem via Fourier-Laplace transforms, we introduce the Federation of Selves—anarchitecture that magnifies human agency while preserving the Lead's sovereignty through biometric and psychological interlocks.
Category: Artificial Intelligence
[73] ai.viXra.org:2601.0075 [pdf] submitted on 2026-01-18 22:24:11
Authors: Arieh Sher
Comments: 5 Pages.
The Pivot Universe (PU) model proposes that the large-scale structure of thecosmos is a stationary, axially symmetric gravitational system organized around a massiverotating central object, the Pivot. The Pivot generates a Kerr-like spacetime that governs thegeometry, redshift field, thermal structure, and effective Hubble parameter of the observableuniverse. Cosmic redshift is interpreted as the combined effect of gravitational time dilation,frame dragging, and special-relativistic Doppler motion, rather than as evidence of globalmetric expansion. The observable universe is confined to a thin radial band between thePivot’s outer event horizon R+ and the Cosmic Microwave Background (CMB) shell. Weshow that temperature, redshift, and the effective Hubble parameter Heff (r) are differentmanifestations of a single underlying gravitational structure. The observed CMB temperatureof 2.725 K, the local Hubble constant at the Milky Way, and the extreme redshifts of high-zgalaxies such as JADES, CEERS, and LYNX arise naturally from this stationary geometry.
Category: Relativity and Cosmology
[72] ai.viXra.org:2601.0074 [pdf] replaced on 2026-01-22 01:55:50
Authors: Binyamin Tsadik Bair Moshe
Comments: 20 Pages.
We propose that the discrepancy between local and high-redshift measurements of the Hubble Constant (H0) is resolved by the Cosmological Lensing Effect: an overlooked optical consequence of the local Large Scale Structure (LSS).By applying a relativistic refractive treatment to photon propagation through the local gravitational potential, we identify a frequency-dependent dispersion term required by the Equivalence Principle but neglected in the standard achromatic FLRW approximation. We demonstrate that a refractive index scaling as the cube root of frequency (alpha = 1/3) naturally reconciles the Pantheon+ Type Ia Supernova data with the Planck CMB acoustic scale.A joint likelihood analysis yields a best-fit background expansion of H0 = 67.53 ± 0.01 km/s/Mpc (stat.) with a total chi-squared statistically indistinguishable from the global unconstrained minimum.This effect reproduces the apparent acceleration of the universe as a chromatic lensing artifact, resolving the Hubble Tension without requiring a deviation from the standard high-redshift background expansion or the introduction of dark energy. Furthermore, the refractive efficiency of this gradient is sufficient to reproduce the observed magnitude-redshift relation using a purely baryonic mass budget (~1.8 x 10^76 protons); this effectively removes the local requirement for Dark Matter, which would otherwise induce excessive lensing magnification.
Category: Relativity and Cosmology
[71] ai.viXra.org:2601.0073 [pdf] submitted on 2026-01-18 15:38:52
Authors: Kazik Hubert
Comments: 6 Pages.
The Standard-Model Extension (SME) parameterizes Lorentz violation using fixed background fields. We propose a dynamical alternative where the antisymmetric SME background $(k_G)_{muu}$ emerges as a propagating spacetime torsion field in Einstein-Cartan theory. Its source is the ``Berry curvature'' of composite particles, which acts as a textit{Quantum Geometric Charge}. The coupling is mediated by a species-dependent textit{Geometric Susceptibility} $eta_a$, a calculable property of nuclear and atomic states. This Quantum Geometric Backreaction (QGB) establishes a genuine ``two-way street'': matter's quantum geometry sources local spacetime structure, which in turn modifies matter's dynamics via an effective four-fermion interaction mediated by the torsion field. The dynamical origin yields unique, falsifiable signatures absent in static background models: (i) a linear scaling of interferometric phases with source matter density, (ii) quadratic $eta_a^2$ self-energy corrections revealed in atomic spectroscopy via a textit{Torsional King Plot}, and (iii) the potential for generating detectable fields using macroscopic topological materials with broken time-reversal symmetry. We address theoretical consistency and provide first heuristic estimates of $eta_a$ for $^{85,87}text{Rb}$. The theory presents a clear experimental roadmap for tests using atom interferometers and optical lattice clocks at the $10^{-18}$--$10^{-19}$ precision level, directly probing the feedback loop between quantum matter and emergent spacetime.
Category: Mathematical Physics
[70] ai.viXra.org:2601.0072 [pdf] submitted on 2026-01-18 22:20:03
Authors: Budeeu Zaman
Comments: 22 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)
The identity is explored using matrix and tensor formulations, integral representations,graph-theoretic methods,and a deep dive into the logarithmic analysis of prime sums these methodsshed light on fresh structural clues about how primes are spread out and their deep number-theoretic correlations.
Category: Number Theory
[69] ai.viXra.org:2601.0071 [pdf] submitted on 2026-01-18 22:16:45
Authors: Bertrand Jarry
Comments: 17 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references) Creative Commons Attribution 4.0 International (CC-BY 4.0)
The fundamental structure of spacetime at Planck scales remains one of the most profound open questions in theoretical physics. This paper presents a comprehen-sive analysis of the Discretized Substrate model, with particular focus on quadratic Lorentz Invariance Violation (LIV) manifesting at the Grand Unification Theory (GUT) scale. We develop a rigorous statistical framework for detecting LIV effects at EQG,2 ≈ 1016 GeV using ultra-high-energy (UHE) cosmic observations, specifi-cally addressing the challenges of systematic dispersion disentanglement from astro-physical variability. Through detailed analysis of current experimental constraints and future prospects with LHAASO and IceCube data, we establish testable predic-tions and identify key observational signatures that distinguish LIV from alternative dispersion mechanisms. Our analysis demonstrates that while galactic pulsar timing constrains quadratic LIV at ∼ 10^11 GeV, cosmological PeV observations provide the necessary leverage to probe five orders of magnitude higher energy scales.
Category: High Energy Particle Physics
[68] ai.viXra.org:2601.0070 [pdf] submitted on 2026-01-18 03:48:23
Authors: Jason Merwin
Comments: The document contains 18 pages. A link to the repository is provided in the conclusion.
We investigate two empirical anomalies in contemporary physics: the oscillatingnonlinearity in King plot isotope shift measurements and the systematic deviation ofpulsar braking indices from theoretical predictions. We demonstrate that both phenomena exhibit a 5/4 throughput ratio. King plot analysis of calcium and ytterbiumreveals oscillating deviations with a measured period of 7.8 ± 0.3 neutrons, matching the parameter-free prediction of 8 neutrons from beat frequency interference ina discrete relational network. Population meta-analysis of eight pulsars with reliablelong-term measurements yields a mean braking index n = 2.15 ± 0.26, excluding theStandard Model prediction (n = 3.0) [9] at 3.3σ significance with Bayesian evidenceof 100:1 in favor of the Relational Mathematical Realism (RMR) prediction (n = 2.5).Correlation analysis demonstrates that the braking residual ∆n = n − 3 shows nosignificant dependence on magnetic field strength, spin period, or spin-down rate, sup-porting a universal spacetime effect rather than varying magnetospheric processes.The appearance of a similar 5/4 ratio at nuclear (10^−15, m) and stellar (10^4, m) scalesmotivates further investigation into whether these effects may share a common origin.
Category: High Energy Particle Physics
[67] ai.viXra.org:2601.0069 [pdf] replaced on 2026-03-24 19:14:56
Authors: Alis Hasić
Comments: 20 Pages. CC BY-NC-SA 4.0
This paper presents the Mother Theory, a comprehensive framework postulating a scalable isomorphy between the structure and dynamics of a single human eukaryotic cell andthe observable universe. We propose that identical physical principles and mathematicalformulations govern both scales, a concept dened here as the Cellular Cosmology Theory.This study provides formal evidence that key cosmic phenomenaspecically Dark Energy,Dark Matter, and the Big Bangare macroscopic manifestations of cellular biological processes, such as osmotic turgor pressure [8], cytoskeletal scaolding [9], and mitotic division[12].Two primary mathematical proofs underpin this synthesis: First, the 70/30 Identitydemonstrates that the cosmological energy density (ΩΛ ≈ 0.683) corresponds precisely tothe relative mechanical tension provided by osmotic turgor pressure in a stabilized biologicalcell (∼70%) [8]. Second, the Biocosmic Synchronization Formula scales the speed of light(c) to the cellular level. By applying the ratio vs = (c · dc)/Ru, we derive a signal velocity inthe micrometer-per-second range, aligning perfectly with the measured propagation speedsof biochemical calcium waves and protein diusion.These correlations suggest that light serves as the critical biological signaling rate of acosmic-scale cellular entity [11]. The results oer a novel, mathematically consistent bridgebetween General Relativity and Quantum Mechanics [14], reinterpreting spacetime geometryas a living, mitotic matrix [13]. This work provides a veriable, interdisciplinary basis for theconclusion that the universe operates as a living, information-processing singularity, governedby the imperatives of complex biological systems.
Category: Classical Physics
[66] ai.viXra.org:2601.0067 [pdf] submitted on 2026-01-17 20:46:40
Authors: Steven Alexander Quevedo Vinueza
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references; and the author's name should not be sued to name a formula/discovery)
The Voynich Manuscript (MS 408) has long been considered an indecipherable mystery, but our research shows it is actually a technical logbook produced by a 15th-century mechanical device. We propose that the manuscript records industrial processes for the Medici alum monopoly using the "[a newly proposed] Wheel"—a mechanical cipher tool. By simulating the device’s physical constraints, specifically a mechanism we call the "Gallow Lock," we have replicated the manuscript's unique patterns with high statistical accuracy. Our findings explain why traditional linguistic methods have failed: the text is a mechanical output rather than a natural language. This discovery links the manuscript to the engineering of the Florentine Renaissance and the secretive alum industry at Sancto Lazero, proving that the codex is a byproduct of industrial secrecy rather than mystical or linguistic intent.
Category: Linguistics
[65] ai.viXra.org:2601.0066 [pdf] submitted on 2026-01-17 18:30:12
Authors: Lluis Eriksson
Comments: 7 Pages.
We present a typed "contract" framework for a multi-layer program connecting (i) static locality/approximate Markovness, (ii) recoverability bounds, (iii) separation-dependent dissipation-rate envelopes, and (iv) thermodynamic maintenance power. Each interface is typed with explicit quantifiers, tagged as PROVED/IMPORTED/ASSUMED/CONJECTURED, and paired with concrete falsification routes. As a closed lane inside the paper, for a finite-dimensional tripartite family we show that an exponential conditional mutual information decay hypothesis implies exponential recoverability, using an imported Fawzi—Renner—type inequality with conventions fixed explicitly. Two minimal examples anchor interpretation: the exact Markov case (CMI = 0) yielding perfect recovery, and a toy dephasing semigroup illustrating the operational meaning of initial coherence-loss rates and envelope quantities.
Category: Quantum Physics
[64] ai.viXra.org:2601.0065 [pdf] submitted on 2026-01-17 18:43:55
Authors: Lluis Eriksson
Comments: 6 Pages.
Local algebras in relativistic quantum field theory are typically Type III, so reduced density matrices and von Neumann entropies are not available without additional structure. We give an audit-friendly interface for recoverability in Type III AQFT based on a collar geometry and an explicit split datum N (an intermediate Type I factor). For normal states, we define (i) an N-dependent split-regularized conditional mutual information (CMI) and (ii) a recovery error based on squared Bures fidelity. We isolate as explicit assumptions the two key bridges needed for exponential recoverability in the Type III setting: (a) existence of an omega_0-preserving conditional expectation onto N (a Takesaki-type condition) and (b) an FR-type recoverability inequality in the fixed split implementation, with conventions and constants tracked explicitly to prevent drift. We then prove a conditional statement: if the split-regularized CMI decays exponentially in the collar width and the FR-type inequality holds in that split, then the recoverability error decays exponentially with explicit constants. The note is intended as a typed "contract" for importing model-specific inputs while keeping all split dependence and assumptions transparent.
Category: Quantum Physics
[63] ai.viXra.org:2601.0064 [pdf] submitted on 2026-01-17 19:05:55
Authors: Lluis Eriksson
Comments: 6 Pages.
We isolate the dynamical hinge in typed separation—rate—power pipelines within the finite-dimensional Davies (weak-coupling, Markovian) setting. First, we formulate an upper-envelope statement (RIP-U): assuming a factorized bath-correlation bound with separation-dependent amplitude f(ε) and an integrable time profile, the Fourier-transformed Davies rate coefficients inherit an O(f(ε)) envelope. Under explicit regularity conditions preventing trivial degeneracies, and an explicit bridge assumption linking rate envelopes to instantaneous coherence-loss ratios, this yields a worst-case bound κ↑(ε) ≤ C f(ε) for the relative instantaneous loss rate of a Δ-track coherence functional. Second, we isolate a structural obstruction to lower-envelope statements: we prove an exact identity for the ω=0 contribution to the Davies Dirichlet form, showing it equals (γ(0)/2)u2016[S(0),O]u2016²_{2,σ} for observables O, and derive a witness mechanism demonstrating how ω=0 channels can enforce a non-vanishing dissipation contribution for suitable observable families. We emphasize directionality: RIP-U (upper) does not imply a positive lower envelope κ↓(ε) without additional family-qualified assumptions, and we provide falsification routes for each assumption.
Category: Quantum Physics
[62] ai.viXra.org:2601.0063 [pdf] submitted on 2026-01-16 04:37:03
Authors: Eduardo Rodolfo Borrego Moreno
Comments: 16 Pages.
We present a covariant effective framework in which galactic-scale dark-matter phenomenology emerges from a non-Newtonian, stress-dependent response of a residual spacetime medium, rather than from additional particle species or modifications of the gravitational force law. The Residual is modeled as a relativistic fluid endowed with a shear-activated, pseudoplastic (shear-thinning) rheology, whose effective viscosity increases in regions of low invariant acceleration and becomes negligible in high-acceleration environments. This behavior introduces a characteristic acceleration scale a0, interpreted as an intrinsic rheological property of the medium rather than as a modification of gravity. In the non-relativistic, quasi-stationary regime relevant for disk galaxies, the viscous response of the Residual contributes an effective force that alters baryonic dynamics without invoking an extended dark matter halo. We show that this mechanism naturally yields asymptotically flat rotation curves and that the baryonic Tully—Fisher relation arises as a dynamical attractor in the viscosity-dominated regime. The resulting scaling is independent of detailed baryonic distributions and requires no galaxy-by-galaxy tuning.We further discuss the qualitative consistency of the framework with key observational benchmarks, including cluster mergers such as the Bullet Cluster and the formation of cored density profiles in low-mass galaxies. These results suggest that a stress-activated, non-Newtonian response of spacetime may provide a viable and unified effective description of dark-matter-like phenomenaacross galactic scales.
Category: Astrophysics
[61] ai.viXra.org:2601.0062 [pdf] submitted on 2026-01-16 11:18:17
Authors: Joshua Christian Elfers
Comments: 9 Pages.
We demonstrate that the carry-coupled skew-product extension of the Collatz map over finite fields Z_p contains a computationally universal subsystem. By identifying a "Transistor Interval" where arithmetic magnitude constraints function as logical switches, we construct a universal NAND gate from pure number-theoretic operations. This establishes that modular arithmetic dynamics are Turing Complete. Our proof proceeds by exhaustive verification over Z_p, demonstrating that the invariant set W_4 (defined by integers n where 4n < p) forms a Local Identity Monoid capable of exact information storage (RAM), and that signal interactions within this set implement universal Boolean logic (CPU). We classify the system as a Piecewise Isometry, distinguishing it from stretching-based chaotic systems and placing it within the framework of reversible computing.
Category: Data Structures and Algorithms
[60] ai.viXra.org:2601.0061 [pdf] submitted on 2026-01-16 16:18:28
Authors: Herman Herstad Nythe
Comments: 6 Pages.
We report a statistical anomaly in the bond dissociation enthalpies (BDEs) of the fundamental homonuclear bonds of Carbon and Nitrogen. While standard models treat bond energies as continuous variables, the C-C, C≡C, N=N, and N≡N bonds align with simple integer or ternary fractions of a Rydberg-derived unit (EG ≈ 208.9 kJ/mol) with high precision (p < 0.001). Notably, the Carbon-Carbon single bond aligns with a 5:3 harmonic ratio. Translating this energy quantum (348 kJ/mol) into the frequency domain corresponds to a frequency of 8.72 × 1014 Hz (344 nm). Based on this model, we propose that C-C bond formation could be selectively catalyzed by narrow-band excitation at 344 nm, suggesting a testable pathway for "Resonant Photocatalysis" distinct from broad-spectrum UV activation.
Category: Chemistry
[59] ai.viXra.org:2601.0060 [pdf] submitted on 2026-01-16 02:17:24
Authors: Eduardo Rodolfo Borrego Moreno
Comments: 11 Pages.
We propose an effective cosmological framework in which dark energy is interpreted as an emergent dissipative contribution—denoted as the Cosmological Dissipative Residual (CDR) associated with bulk viscosity in the late-time Universe. Without modifying General Relativity, early-Universe physics, or the CMB acoustic horizon, we introduce a single dissipative parameter, Γ(t), acting as a damping term in the continuity equation of cold matter. This mechanism alters the late-time evolution of the Hubble parameter H(z) and the growth of cosmic structures, naturally producing (i) an effective discrepancy between locally inferred and CMB-extrapolated values of H0, and (ii) a suppression of structure growth consistent with the observed σ8 tension. The model remains compatible with BAO and weak-lensing observations and yields falsifiable predictions without invoking new microphysics, exotic scalar fields, or modifications of gravity.
Category: Astrophysics
[58] ai.viXra.org:2601.0059 [pdf] replaced on 2026-01-20 13:40:16
Authors: Pruk Ninsook
Comments: 25 Pages.
The standard cosmological model (ΛCDM) faces persistent challenges from the Hu2080 and Su2088 tensions, alongside anomalies in early galaxy formation. In this work, we present a first-principles derivation of Information-Geometric Spacetime (IGS) dynamics within a unified action framework incorporating holographic backreaction. Treating the universe as an open quantum system in the Schwinger—Keldysh (in-in) formalism, we derive an effective temporal constitutive relation in which the conventional time evolution is replaced by a state-dependent phase response, suppressed by entanglement entropy. This deformation manifests as a modified time—energy commutation structure governed by an information-geometric coupling β. We show that β is not a phenomenological parameter, but a universal geometric quantity fixed by the causal-diamond structure in (3+1) dimensions, yielding β ≈ 0.1837. The resulting dynamics imply an emergent information-induced friction and a redshift-dependent effective cosmological constant, leading to a percent level suppression of late-time structure growth and providing a unified explanation of the Su2088 tension and early massive galaxy formation.
Category: Relativity and Cosmology
[57] ai.viXra.org:2601.0058 [pdf] submitted on 2026-01-16 02:12:46
Authors: Joshua Christian Elfers
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We introduce and analyze a carry-coupled skew-product extension of the Collatz dynamical system, in which whole-integer dynamics are coupled to modular arithmetic through an explicit arithmetic carry term. The central result establishes that coupling parameter K = 4 produces a unique invariant structure characterized by identity evolution of the return map. This coupling realizes, in purely arithmetic terms, the mathematical mechanism underlying conservation laws and coherent evolution in physical systems. We provide rigorous proofs of the main theorems, numerical verification, and discuss the group-theoretic foundations of this invariance.
Category: Number Theory
[56] ai.viXra.org:2601.0057 [pdf] submitted on 2026-01-14 02:20:35
Authors: Herman Herstad Nythe
Comments: 10 Pages.
We propose evidence for universal energy quantization spanning nuclear to biological scales through the fundamental unit EG = Ry/2π = 208.93 kJ/mol, derived from the Rydberg constant. Most significantly, we derive an exact, mass-independent ratio between the particle physics mass scale (MG) and the chemical energy scale (EG) given by MG/EG = 4π2/α3 ≈ 1.016 × 108. This geometric relationship suggests that chemistry represents a holographic projection of nuclear physics governed by vacuum topology and the fine structure constant, offering an alternative to traditional unification theories requiring Planck-scale energies. Analysis of 53 independent measurements reveals systematic correlations with EG achieving 0.02%—8% precision. Key findings include the C-C bond at (5/3)EG (0.05% deviation), the Ge band gap at EG/2φ (0.13%), water electrolysis at EG/√π (0.67%), and Neon ionization at 10EG (0.41%). Preliminary validation through a histogram analysis of 47 bonds from the NIST database reveals a highly significant deviation from uniform distribution (p = 8.3 × 10-6) with strong clustering near predicted harmonics. Furthermore, the framework identifies a biological "temperature lock" where the ratio of activation energy to thermal noise (Ea/RT) equals exactly 20 at mammalian body temperature (310 K), linking thermodynamic stability to icosahedral geometry. Combined statistical analysis yields P < 10-23 against chance. This work suggests a fundamental advance in understanding energy quantization through geometric principles (scaling by π, φ, and α) rather than solely energetic ones.
Category: Mathematical Physics
[55] ai.viXra.org:2601.0056 [pdf] submitted on 2026-01-14 21:09:01
Authors: Thomas Lee Abshier
Comments: 12 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references of other authors and delete non-existant self-references!)
In Conscious Point Physics (CPP), electroweak unification emerges from discrete primitives in the 600-cell lattice without fundamental gauge fields or spontaneous symmetry breaking. We derive the effective SU(2)L× U(1)Y symmetry and Yang-Mills non-Abelian structure from hybrid DP flows, angular phase interferences (120°/240° biases for left-handed chirality), and golden-ratio quantized overlaps in nested polyhedral cages. The unified scale E_0 ≈ 246 GeV arises from bit compression in high-confinement states, with W/Z mass ratio (cos θ_W ≈ 0.881) from vertex density asymmetries. Couplings (g ≈ 0.652, gu2032 ≈ 0.357) follow from SS Vector gradients, reproducing sin2 θ_W ≈ 0.231 at 99.8% PDG agreement. Monte Carlo simulatio ns with full error propagation reproduce electroweak observables within experimental uncertainties. The framework yields falsifiable predictions, such as ∼ 10^−4 asymetries in off-shell W/Z interference and exotic lepton mixing at high transverse momentum, testable at the High-Luminosity LHC. This completes the electroweak series, unifying weak and electromagnetic interactions via geometry, and resolves standard puzzles like the hierarchy problem as emergent features.
Category: High Energy Particle Physics
[54] ai.viXra.org:2601.0055 [pdf] submitted on 2026-01-14 04:26:00
Authors: Chaiya Tantisukarom
Comments: 4 Pages.
The Traveling Salesman Problem (TSP) has long been the hallmark of $NP$-hard complexity. This paper presents a definitive shift in the problem's resolution by moving from a universal search-based paradigm to a "One-to-One" synthesis approach. By utilizing the "Unseen Syntax" algorithm—a deterministic $O(N^2)$ procedure applied to a specific, fixed-start matrix—we demonstrate that the complexity of a localized reality is polynomial. We further argue that the perceived $NP$-hardness is a result of a dimensional mismatch between the specific problem instance and the search for a universal solution.
Category: Artificial Intelligence
[53] ai.viXra.org:2601.0054 [pdf] submitted on 2026-01-14 21:04:10
Authors: Cody Shane Mitchell
Comments: 12 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references) 8 tables. Computational code available upon request.
We present a comprehensive computational and theoretical analysis of the Erdős-Szemerédi sunflower problem. We compute exact values m(n,3) = 2, 4, 6, 9, 13, 20 for n = 1,...,6—a sequence absent from the literature for the power-set formulation. Our central results establish proven slack in the Naslund-Sawin bound at multiple values: 41.7% at n=3 and 4.5% at n=6. We prove that each local "blocking" tensor has slice rank exactly 2, while the Naslund-Sawin proof implicitly uses factor 3—identifying the precise source of overcounting. We prove a Strong Balance Theorem: in any maximum sunflower-free family, element frequencies satisfy m(n,3) - m(n-1,3) ≤ d_i ≤ m(n-1,3) - 1, implying frequencies lie in approximately [0.33, 0.67]. We establish that admissible monomials satisfy a degree triangle inequality, constraining the polynomial structure. These structural insights, combined with the observed monotonic decay of the ratio |F_max|/NS(n) from 0.84 to 0.42, point to specific directions for asymptotic improvement.
Category: Combinatorics and Graph Theory
[52] ai.viXra.org:2601.0053 [pdf] submitted on 2026-01-14 15:22:34
Authors: Shanzhong Zou
Comments: 16 Pages.
The Twin Prime Conjecture, the Goldbach Conjecture, and the Polignac Conjecture are all conjectures concerning the distribution of prime numbers. This paper introduces a novel sieve-based framework termed the " Comb Sieve Method ". This approach not only unifies the three conjectures by treating them as different manifestations of an underlying fundamental problem but also circumvents the need to estimate error terms, a common challenge in traditional sieve methods. We believe this framework will open new avenues for research in this area of number theory.
Category: Number Theory
[51] ai.viXra.org:2601.0052 [pdf] submitted on 2026-01-14 20:58:04
Authors: Randy W. Hoggard
Comments: 42 Pages. https://doi.org/10.5281/zenodo.18239553
The unification of General Relativity (GR) and Quantum Field Theory (QFT) constitutes the premier unresolved challenge of contemporary theoretical physics. This report presents a comprehensive formalization of the 179-Degree Asymmetric Toroidal Phase Model (ATPM), a novel geometric framework that reconciles these disparate paradigms through a rigorous reevaluation of the topological substrate of reality. By synthesizing insights from Brane Gas Cosmology, Signal Processing Theory, and Discrete Geometry, we propose that the observable universe is not a stochastic assembly of particles in a vacuum, but a coherent standing-wave interference pattern emerging from a 13-dimensional toroidal manifold (T^13). Central to this framework is the Axiom of Existential Imperfection, which posits that physicalexistence is generated by a fundamental symmetry breaking—a 1-degree Phase Margin—between conjugate wave pairs offset by 179 degrees. This specific asymmetry prevents the total destructive interference characteristic of perfect symmetry (180 degrees), yielding a residual energy density that matches the phenomenological characteristics of the cosmos.This report exhaustively validates the model's parameters, identifying the Jackson-Sokal Constant (32/27) as the topological connectivity threshold (Jackson & Sokal, 2009) and the Barker Code Limit (N= 13) as the information-theoretic bound on particle generations (MathWorks, 2026). We provide a rigorous mathematical justification for the exclusion of the prime number 2 from the harmonic series to prevent resonant mode-locking, establishing a Prime-Phase Coded sequence (p_0_p_12) that maps precisely onto the Standard Model's 12 fermions and the Higgs field. Furthermore, the expansion of the model from the original 9-wave specification to a 13-wave architecture is shown to be necessary to satisfy the geometric "Kissing Number" constraints of sphere packing and the dimensional requirements of S-Theory.
Category: Relativity and Cosmology
[50] ai.viXra.org:2601.0051 [pdf] submitted on 2026-01-14 20:03:27
Authors: Lluis Eriksson
Comments: 20 Pages.
We provide reproducible finite-size benchmarks testing whether a Petz-type recoverability proxy correlates with Wilson-loop confinement diagnostics in Z2 lattice gauge theory in 2+1 dimensions. First, we present an exact-diagonalization benchmark on 2x2 and 2x3 plaquette lattices with open boundary conditions and a Gauss-law penalty term, verifying numerically that the gauge constraint is satisfied (min and mean gauge-generator expectation values are ~1). We compute a trace-renormalized, regularized Petz-type recoverability error for separated subsystems and compare it to confinement proxies based on Wilson loops and Creutz ratios, interpreted as an effective string tension; in 2+1 dimensions the natural confinement-length proxy is the inverse effective string tension. We then extend to larger systems using TeNPy DMRG on ladder geometries 2xL and report multi-L trends as well as a bond-dimension stability check. In the ladder tensor-network part we report recoverability as a function of a contiguous buffer size in MPS site ordering (proxy), rather than the BFS collar width used in the ED part. All plots and CSV data can be regenerated using the scripts provided in the appendix.
Category: Quantum Physics
[49] ai.viXra.org:2601.0050 [pdf] submitted on 2026-01-14 20:46:34
Authors: Lluis Eriksson
Comments: 16 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We provide a finite-size benchmark testing whether a CMI-based recoverability proxy correlates with Wilson-loop confinement diagnostics in Z2 lattice gauge theory in 2+1 dimensions. We compute ground states by sparse exact diagonalization on 2x2 and 2x3 open lattices for a standard link-qubit Hamiltonian with a Gauss-law penalty term, biasing the gauge-invariant sector (verified numerically by
Category: Quantum Physics
[48] ai.viXra.org:2601.0049 [pdf] submitted on 2026-01-13 23:34:37
Authors: Natasha Zink
Comments: 8 Pages. (Note by ai.viXra.org Admin: For the last time, author name is required in the article after article title, the abstract should be labled as such, and please cite listed scientific references)
The emergence of Heptagonal Unitary Field Theory (HUFT), as articulated in the foundational documents provided and the research profile of Natasha Zink, represents a radical departure from traditional particle-based ontologies in theoretical physics. By reconceptualizing the universe as an emergent submanifold M^{4} embedded within a seven-dimensional toroidal manifold T^{7}, HUFT attempts to provide a unified geometric framework that accounts for gravity, quantum information preservation, and non-local transport. This report provides an exhaustive verification of the scientific bases of HUFT and the Zero-Time Transport (ZTT) protocol, tracing their mathematical lineage through G_{2} holonomy, spectral signal processing, and high-dimensional lattice theory.
Category: Quantum Physics
[47] ai.viXra.org:2601.0048 [pdf] submitted on 2026-01-13 18:42:39
Authors: Pruk Ninsook
Comments: 18 Pages.
We extend the Information-Geometric Spacetime framework from background evolution to the regime of linear perturbations to address cosmological tensions in a unified manner.Building on the "Time as Phase Flow" hypothesis, we propose that local matter overdensitiesperturb the entanglement structure of quantum fields across horizons, inducing a local modification of temporal flow interpreted as "information-induced temporal inertia" or information friction (Γinfo). By adopting a minimal closure relation where entanglement fluctuations are proportional to matter density contrast, governed by a coupling parameter α ≈ β ≈ 0.18 consistent with our previous background analysis, we derive the modified growth equationfor matter perturbations. The model naturally predicts a systematic suppression of latetime structure growth, yielding fσ8 values consistent with Redshift-Space Distortion (RSD) and weak lensing measurements without modifying Einstein’s field equations or invoking afifth force. These results provide a unified, information-theoretic resolution to both the H0and σ8 tensions through a single dynamical mechanism.
Category: Relativity and Cosmology
[46] ai.viXra.org:2601.0047 [pdf] submitted on 2026-01-13 21:46:46
Authors: Lluis Eriksson
Comments: 14 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We provide a finite-size benchmark testing whether a Petz-type recoverability proxy correlates with Wilson-loop confinement diagnostics in Z2 lattice gauge theory in 2+1 dimensions. We compute ground states by sparse exact diagonalization on 2x2 and 2x3 plaquette lattices with open boundary conditions, using qubits on links and biasing the gauge-invariant sector via a Gauss-law penalty (verified numerically by
Category: Quantum Physics
[45] ai.viXra.org:2601.0046 [pdf] submitted on 2026-01-13 05:25:36
Authors: Lluis Eriksson
Comments: 9 Pages.
We formulate an operational notion of recoverability in algebraic quantum field theory (AQFT) for type III local von Neumann algebras. Fixing a faithful normal KMS reference state and assuming the existence of a state-preserving conditional expectation, we define a Petz-type recovery channel as the Petz dual (Accardi-Cecchini adjoint). To make tripartite tensor-product notation meaningful, we work in a fixed split implementation for each separation parameter r. For a tripartition A-B-C with B a collar separating A from C, we assume (i) exponential decay of split-implemented conditional mutual information and (ii) a CMI-to-recovery inequality for the chosen Petz-type map. Under these explicit bridge assumptions we obtain a conditional exponential recoverability bound of the form E_rec(r) <= g(C * exp(-m * r)), and in particular E_rec(r) <= C' * exp(-m * r) when g is locally linear. We include a finite-dimensional warm-up, prove finite-dimensional consistency of the Petz-dual definition with the standard Petz map, and discuss how nuclearity or modular nuclearity may support a future derivation of the bridge assumptions. The main theorem is therefore a conditional framework statement: it isolates AQFT-correct algebraic ingredients for Petz-type recovery in type III settings and makes the missing bridge assumptions explicit.
Category: Quantum Physics
[44] ai.viXra.org:2601.0045 [pdf] submitted on 2026-01-13 07:09:08
Authors: Brent Hartshorn
Comments: 12 Pages.
By defining the Einstein Monotile as a unique topological gauge, we show how aperiodic order satisfies the Kallosh independence theorem, preventing the collapse of the manifold at the extremal limit.Utilizing Birmingham-BF topological field theory, Savoy’s combinatorial cell complexes (cc) and iterative barycentric subdivisions, we formalize the "Discrete-to-Continuous" transition, showing that as the subdivision index n→∞, the aperiodic vacuum converges to the smooth Celestial Sphere (S2) sought in Pasterski’s holography. This refinement process is governed by a Schramm-Loewner Evolution (SLE) smoothing scale at d=1.326, which redistributes "soft omissions" into the analytic kernels of the Inverse Mellin Transform. Finally, we derive the conditions for Arithmetic Superfluidity (c=1), identifying the Big Bang as a retrocausal pruning event that selects the stable Monotile structure from a Nine-Tile super-compatible state.
Category: Quantum Gravity and String Theory
[43] ai.viXra.org:2601.0044 [pdf] submitted on 2026-01-13 12:46:11
Authors: Lluis Eriksson
Comments: 14 Pages.
We propose a numerical protocol and a set of falsifiable conjectures relating quantum-information recoverability measures to confinement diagnostics in lattice gauge theories. For a tripartition A-B-C on a finite lattice and a collar width w, we define a Petz-type recovery error E_rec_Petz(w) based on fidelity and extract an associated recoverability length scale from threshold and fit-based criteria. Since gauge constraints obstruct naive subsystem factorization, we formulate the protocol in an extended-Hilbert-space (EHS) prescription by default, while also outlining an algebraic (gauge-invariant observable) variant and its subtleties (centers, sector decompositions). We specify a practical regularization for Petz-type reconstruction when rho_B is not full rank and discuss normalization conventions in numerics. We then formulate conjectures that E_rec_Petz(w) decays exponentially in gapped phases and that its decay scale tracks confinement scales set by Wilson loops, such as an effective string tension extracted from area-law fits or Creutz ratios. We do not claim a theorem-level confinement result; the paper is a self-contained protocol and roadmap intended to be tested on small lattices (exact diagonalization or tensor networks) and, where reduced states are accessible, by Monte Carlo plus replica methods. As a control experiment we include TFIM data validating the pipeline and illustrating the growth of the recoverability length near criticality.
Category: Quantum Physics
[42] ai.viXra.org:2601.0043 [pdf] submitted on 2026-01-13 12:50:18
Authors: Lluis Eriksson
Comments: 9 Pages.
We propose an operational route from recoverability data to effective geometry. Given a tripartition A-B(w)-C and a collar width w, we consider a Petz-type recoverability error E_rec_Petz(w) defined via fidelity and extracted from a fixed collaring rule that maps (A, C, w) to a buffer region B separating A from C. We then define distance-like functionals from the minimal buffer needed to suppress E_rec_Petz(w) below a threshold, and from exponential fit scales when such a regime exists. These can be organized into a generally non-metric dissimilarity matrix on coarse regions, symmetrized when needed, and embedded into low-dimensional spaces using multidimensional scaling or diffusion maps. The paper emphasizes precise definitions (collaring rule, symmetrization, censoring below numerical floors) and falsifiable diagnostics (approximate triangle inequalities, robustness to thresholds and regularization). A minimal control experiment in the one-dimensional transverse-field Ising model illustrates the pipeline and the growth of a recoverability length near criticality.
Category: Quantum Physics
[41] ai.viXra.org:2601.0042 [pdf] submitted on 2026-01-11 14:41:55
Authors: Lluis Eriksson
Comments: 8 Pages.
We define an operational notion of effective distance from approximate quantum state recovery. Given a tripartition A-B-C with B a collar of width w separating A from C, we compute a Petz-based reconstruction error EP(w) = -log F(rho_ABC, rho_tilde_ABC(w)), where F is the squared Uhlmann fidelity, and define an emergent distance deff(epsilon) as the minimal collar width w such that the best-achieved error up to w falls below a target threshold epsilon. Using exact diagonalization data for the transverse-field Ising chain at N = 11 and |A| = 2, we find that deff(1e-3) grows strongly with inverse temperature beta in the unperturbed case (hz = 0), from 1.00 at beta = 0.5 to 3.57 at beta = 5.0, while it remains near-minimal in the longitudinally perturbed case (hz = 0.5), staying close to 1.0 across the same temperature range. We also introduce a discrete curvature diagnostic based on second differences of log EP(w) on a pre-floor window and report when this diagnostic is identifiable given the available window and numerical floor. Robustness is assessed by varying epsilon and by a minimal N = 12 spot-check.
Category: Quantum Physics
[40] ai.viXra.org:2601.0041 [pdf] submitted on 2026-01-12 16:26:50
Authors: Natasha Zink
Comments: 7 Pages. (Note by ai.viXra.org Admin: Author name is required in the article after article title, the abstract should be labled as such, and please cite and list scientific references)
The emergence of Heptagonal Unitary Field Theory (HUFT) marks a decisive transition in theoretical physics, moving beyond the limitations of particle-based ontologies toward a comprehensive geometric-unitary paradigm. This report details the mathematical and physical foundations required to solve Seven-Dimensional Zero-Time Transport (ZTT), focusing on the formalization of State-Vector Polarization, Spectral Preservation via Generalized Prolate Spheroidal Wave Functions (GPSWFs), and the Refractive Inverse required for re-projection. By establishing the universe as a submanifold M^{4} embedded within a seven-dimensional toroidal manifold T^{7}, HUFT provides the necessary framework to decouple physical states from the standard three-dimensional evolution parameter—perceived as time—and navigate the higher-dimensional bulk along null-path geodesics.
Category: Quantum Gravity and String Theory
[39] ai.viXra.org:2601.0040 [pdf] submitted on 2026-01-12 06:23:09
Authors: Lluis Eriksson
Comments: 5 Pages.
We study finite-size scaling of an operational recovery length extracted from Petz-map recovery in the transverse-field Ising chain (TFIM). For a tripartition A-B-C of a 1D chain with a collar B of width w separating A from C, we define a recovery error E_Petz(w) = -log F(rho_ABC, rho_rec(w)), where F is the squared Uhlmann fidelity, and an effective recovery distance d_eff(eps) as the minimal collar width achieving E_best(w) <= eps, where E_best(w) = min_{w'<=w} E_Petz(w'). Using exact diagonalization at h_z = 0 and beta = 12 for N in {9, 10, 11, 12}, we analyze the peak height d_eff_max(eps; N) = max_{h_x} d_eff(eps; N, h_x) in a censoring-free threshold regime. We find power-law growth d_eff_max(eps; N) ~ N^{kappa(eps)} with a threshold-dependent exponent, e.g. kappa(3e-3) about 0.44 and kappa(5e-3) about 0.26 over this size range. The peak location h_x*(N) drifts toward the critical region as N increases; however, the drift exponent extracted from |h_x*(N) - 1| ~ N^{-1/nu_eff} is threshold-dependent in this finite-size, finite-temperature window, and we report it as an effective operational exponent rather than a universal estimate of the TFIM correlation-length exponent.
Category: Quantum Physics
[38] ai.viXra.org:2601.0039 [pdf] submitted on 2026-01-11 18:02:27
Authors: Pruk Ninsook
Comments: 23 Pages.
We propose an information-geometric framework where spacetime emergence is driven by a phase operator conjugate to geometric area. In this model, proper time is not a fundamental background parameter but an emergent expectation value of the phase flow. By treating geometric degrees of freedom as primary information carriers, we derive Hawking temperature, the Page curve, and log-area entropy corrections without invoking external QFT mechanisms. Crucially, the framework predicts a dynamic cosmological constant $Lambda(z)$ that alleviates the Hubble tension to approximately 2$sigma$ and accounts for the high-redshift massive galaxies recently discovered by JWST. Our results provide a semiclassical bridge between quantum information and gravitational dynamics, offering a testable origin for the arrow of time.
Category: Relativity and Cosmology
[37] ai.viXra.org:2601.0038 [pdf] submitted on 2026-01-12 01:13:42
Authors: Lluis Eriksson
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We study whether recovery-based operational distances exhibit a distinctive finite-size signature near quantum criticality. For a tripartition A-B-C of a 1D chain with a collar B of width w separating A from C, we compute a Petz-based reconstructed state and the corresponding recovery error E_Petz(w) = -log F(rho_ABC, rho_rec(w)), where F is the squared Uhlmann fidelity. We define an effective recovery distance d_eff(eps) as the minimal collar width needed to achieve error below a target threshold eps, using E_best(w) = min_{w' <= w} E_Petz(w') to stabilize non-monotonicity. Using exact diagonalization of the transverse-field Ising chain at N = 11 with |A| = 2, we sweep the transverse field h_x across the critical region at h_z = 0 and compare to a longitudinally perturbed control at h_z = 0.5. We find pronounced growth and extensive censoring of d_eff(eps) in the critical region at low temperature, while the perturbed control remains comparatively featureless. An extended-collar spot-check partially resolves the censoring and yields d_eff(1e-3) about 7.6-7.7 at beta = 12 near h_x = 0.96 and h_x = 1.00, indicating an operational recovery length scale of order eight lattice sites at this system size.
Category: Quantum Physics
[36] ai.viXra.org:2601.0037 [pdf] submitted on 2026-01-11 21:09:45
Authors: Jacob Halaas
Comments: 14 Pages.
We investigate the mathematical consistency of a scenario in which our observable universe is modeled as a 3+1 brane bubble in a five-dimensional bulk, with the brane forming before a classical singularity develops. To permit an expanding FRW brane inside the horizon, we interpret the relevant interior region as the time-reversed (white-hole) branch of the maximally extended geometry. We do not derive the brane formation mechanism from first principles; rather, we demonstrate that if such a brane forms with suitable tension, the resulting cosmology is self-consistent and broadly consistent with current observations at the order-of-magnitude level. Using the 5D Israel—Darmois junction conditions, we obtain the modified Friedmann equation on the brane with the ρ² correction and a dark-radiation term from the bulk Weyl tensor. We analyze dynamical evolution, including conditions for bounce or recollapse, and provide benchmark scale estimates for horizon size and early-time expansion rates under representative brane-tension inputs. This work is intended as a consistency study establishing the viability of the brane-bubble picture, rather than a complete dynamical model of brane formation.
Category: Relativity and Cosmology
[35] ai.viXra.org:2601.0036 [pdf] replaced on 2026-01-16 02:34:28
Authors: Jason Merwin
Comments: 30 Pages. The document has a link to the GitHub repository.
We report a recurring angular structure consistent with tetrahedral symmetry that appears across three distinct domains spanning many orders of magnitude in physical scale: Compton scattering, nuclear $gamma$-$gamma$ angular correlations, and pulsar glitch phenomenology. Our analysis is organized around two geometrically special angles that arise from different mathematical constraints: the ``magic angle'' $theta_{text{magic}}=54.74^circ$ where $P_2(costheta)=0$ eliminates the quadrupole term in Legendre expansions, and the tetrahedral angle $theta_{text{tet}}=arccos(-1/3)=109.47^circ$ associated with regular-simplex geometry. For Co60 Compton data near 662~keV we identify (i) a $sim$1.3% local suppression near $thetaapprox 54.8^circ$ and (ii) a broad flattening region near $thetaapprox 109.6^circ$ (within the resolution of the underlying digitized dataset), characterized here via variance-based metrics. In Cd110 $gamma$-$gamma$ angular-correlation coefficients reported by Krane & Steffen (1970), four transitions exhibit substantially reduced variance near $thetaapprox109^circ$ relative to the $thetaapprox45^circ$ window for the same reconstructed $W(theta)$ curves. In pulsar timing data from the Jodrell Bank catalog, consecutive glitch-magnitude ratios show clustering within the range 1.2--2.0 and display increased alignment with the simple harmonic sequence $(n+1)/n$ under stricter magnitude thresholds. We interpret these observations as phenomenological indicators of a shared geometric preference that is compatible with tetrahedral angle structure. We provide concrete, near-term tests—particularly target-material comparisons for Compton scattering and modern high-resolution $gamma$-$gamma$ correlation measurements—that can strengthen or falsify the proposed geometric interpretation.
Category: High Energy Particle Physics
[34] ai.viXra.org:2601.0035 [pdf] submitted on 2026-01-11 08:26:27
Authors: Lluis Eriksson
Comments: 9 Pages.
We present a quantitative clustering—recovery bridge for interacting quantum many-body systems based on conditional mutual information (CMI). For a geometric tripartition A—B—C in which B is a buffer (collar) of width w separating A from C, we show that an exponential geometric Markov bound I(A:C|B) <= K exp(-alpha w) implies exponentially accurate recovery of the state on ABC from its marginal on AB in the metric -log F, where F is the (Uhlmann) fidelity, by combining the Fawzi—Renner inequality with a simple conversion to fidelity error bounds.We then obtain a rigorous interacting setting (in a shielded small-region geometry) at arbitrary temperature by invoking local Markovness results for finite-range lattice Gibbs states. Numerically, we benchmark the mechanism in the transverse-field Ising chain with longitudinal field, comparing an integrable regime (h_z = 0) and a non-integrable regime (h_z = 0.5), and we evaluate the explicit Petz recovery map. We adopt a censored log-plotting and fit protocol that avoids numerical-floor artifacts and report decay-rate estimates only when at least three pre-floor points are available. Finally, motivated by the quantum error-correction interpretation of subregion duality, we state a conditional application to entanglement wedge reconstruction, separating proved information-theoretic content from bulk—boundary interface assumptions.
Category: Quantum Physics
[33] ai.viXra.org:2601.0034 [pdf] submitted on 2026-01-11 09:52:52
Authors: Lluis Eriksson
Comments: 7 Pages.
In algebraic quantum field theory (AQFT), local algebras are typically Type III factors, so density matrices and von Neumann entropies are not available for bounded regions. We present a B-minimal continuum analog of the lattice "collar -> approximate Markov property -> recovery" mechanism by combining: (i) the split property as a mathematical replacement of a buffer (collar), (ii) Araki relative entropy to define a split-regularized conditional mutual information relative to a fixed choice of Type I interpolating data, and (iii) modular/twirled Petz recovery as an explicit candidate recovery channel. Conditional on an FR-type recoverability inequality in this fixed-split setting, we obtain quantitative recovery bounds in a fidelity-based error metric (purified distance). We conclude with a conditional holographic remark in the spirit of the quantum error-correction interpretation of subregion duality.
Category: Quantum Physics
[32] ai.viXra.org:2601.0033 [pdf] submitted on 2026-01-11 15:46:07
Authors: Irena C. Jakovac
Comments: 8 Pages. (Note by ai.viXra.org Admin: For the last time, please cite and listed scientific references) Zenodo DOI: 10.5281/zenodo.18203784
Across scientific disciplines-physics, biology, astronomy, mathematics, and systems theory-the same functional entity appears under different names: nucleus, core, zero, source, axis, gravitational center, or black hole. These concepts are typically treated as discipline-specific, without explicit recognition of their common generative role. This paper demonstrates that all these terms describe the same organizational principle: the center as a necessary condition for the emergence and maintenance of structure. The paper does not introduce a new entity or a new force, but identifies an already existing, yet fragmentarily treated concept. A minimal generative algorithm C + Y → S is proposed, where the center (C) generates structure (S) through the transfer of energy or information (Y). The claim is strictly falsifiable: the theory fails if a stable structure without a center or without any transfer is demonstrated.
Category: Relativity and Cosmology
[31] ai.viXra.org:2601.0032 [pdf] submitted on 2026-01-11 15:40:44
Authors: Chaiya Tantisukarom
Comments: 8 Pages. (Note by ai.viXra.org Admin: Author name should be listed in the article after the article title))
This paper formalizes the "Visual Warning Map" theorem, detailing the intersection of AI Signal Value and Grounded Resource Costs. We argue that without proactive provenance anchoring, the information ecosystem will reach an "Epistemic Crossover" point between Year 5 and Year 7. Post-Year 7, "Fabricated Truth" becomes the dominant global heuristic, leading to a catastrophic "Verification Debt" that threatens the stability of human-digital governance.
Category: Artificial Intelligence
[30] ai.viXra.org:2601.0031 [pdf] submitted on 2026-01-10 16:50:51
Authors: Lluis Eriksson
Comments: 14 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We study when geometric separation in gapped quantum systems yields a genuine reduction in thermodynamic resources required to maintain coherence against uncontrolled open-system dynamics. Our analysis separates three layers. First, in a regularized Gaussian split regime motivated by algebraic QFT, we state an explicit static reconstruction bound: collar suppression of vacuum cross-correlations enables approximate state recovery via the Petz map with fidelity error controlled by a cross-block recovery norm. Second, we show why static recoverability does not automatically imply suppression of dynamical decay rates: fixed-point structure and Bohr-zero (omega=0) channels can generate obstructions invisible to static clustering alone. We formalize this obstruction using an exact omega=0 Dirichlet identity and implement finite-size commutator-witness diagnostics in the transverse-field Ising chain (one-site and two-site Pauli test families), finding no evidence—within the tested sizes—for an omega=0 floor that is independent of system size (with an extended one-site check at N=14 consistent with the observed trend). Third, we give a self-contained finite-dimensional core linking coherence loss to incremental maintenance power under an explicit battery-assisted thermal-operations model (with paired strategies), and we state a typed rate-inheritance hypothesis identifying precisely what additional dynamical input is required to propagate collar suppression into power suppression on an operational target family. We conclude with a Type III blueprint for extending the pipeline to AQFT.
Category: Quantum Physics
[29] ai.viXra.org:2601.0030 [pdf] submitted on 2026-01-10 01:38:08
Authors: Eero Koskela
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present an elementary proof of Fermat's Last Theorem for all powers n ≥ 3 using only binomial coefficients and basic algebra. The proof establishes that the binomial representation 6C(x+1,3) + x serves as a unique fingerprint for the cube x³, and demonstrates that this uniqueness property forces a secondary constraint that is incompatible with the original Fermat equation. For n=3, this leads directly to a geometric contradiction. For n=4, we obtain an algebraic impossibility. For n ≥ 5, we show that the secondary constraint forces fractional exponents that can only yield integers if a lower-dimensional Fermat equation holds—but these are already proven impossible. This proof is independent of Wiles's work and relies only on elementary techniques accessible to undergraduate students.
Category: Algebra
[28] ai.viXra.org:2601.0029 [pdf] submitted on 2026-01-09 21:19:36
Authors: Joanie Carter
Comments: 4 Pages.
This paper proposes that the sequence of early human material engagement mirrors the mechanics of sensorimotor consolidation observed in human infancy. Drawing on developmental psychology, cognitive archaeology, experimental archaeology, and early metallurgy, it argues that repetitive percussion, rhythmic action, and impact-based material transformation reflect neurological constraints on skill acquisition rather than cognitive limitation. This framework does not introduce new archaeological data but offers a unifying developmental interpretation for the global consistency, repetition, and long plateaus observed in early human technological behavior.
Category: Social Science
[27] ai.viXra.org:2601.0028 [pdf] replaced on 2026-01-12 22:52:52
Authors: Herman Herstad Nythe
Comments: 16 Pages.
This paper presents a unified geometric framework deriving the Standard Model mass spectrum from the interplay of discrete Sphere Packing and continuous Golden Geometry. The theory rests on a fundamental mass unit MG ≈ 220 MeV, derived from the electron mass and a topological calculation of the fine-structure constant α-1 (precision 0.007%).Hadrons follow integer packing codes (Bottom Quark n=19, B-Meson n=24), while leptons follow a "Golden Ladder" based on φ, reproducing the Koide relation with 0.003% precision. Light quarks emerge via inverse fractal scaling.At the electroweak scale, masses follow quintic (5n) symmetry. The Top Quark reveals a fundamental duality: 28² ≈ 2π×5³ (0.18%), unifying Lie group geometry with quintic rotation. We identify a spectral cutoff at 3125 GeV, predicting a 15.5 keV Dark Matter candidate via a geometric seesaw mechanism. Finally, the theory predicts scalar resonances at 95 GeV and 650 GeV with symmetry-suppressed top-quark couplings, consistent with reported LHC excesses.
Category: High Energy Particle Physics
[26] ai.viXra.org:2601.0027 [pdf] submitted on 2026-01-09 16:24:16
Authors: Natasha Zink
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references; the scientific references are not listed in a complete/standard manner such as in APS style with complete/required information)
This paper introduces the Heptagonal Unitary Field Theory (HUFT), a unitary framework proposing that (3+1)-dimensional spacetime is a submerged submanifold within a seven-dimensional toroidal lattice (T^7). Utilizing the formalisms of G_2 holonomy and Kaluza-Klein compactification, we demonstrate that fundamental phenomena—including gravity, dark matter, and the distribution of prime numbers—emerge as geometric residuals of the 7D bulk metric. We propose that gravity is a refractive manifestation of lattice density rather than a particle-mediated force, effectively eliminating the requirement for the graviton. Furthermore, we extend this geometric logic to biological systems, specifically DNA information density, and propose a theoretical protocol for Zero-Time Transport (ZTT) via state-vector polarization.
Category: Quantum Gravity and String Theory
[25] ai.viXra.org:2601.0026 [pdf] submitted on 2026-01-09 16:10:41
Authors: Alexander Mats
Comments: 6 Pages. Developed with AI assistance for calculations, formatting, and figures. All results independently verified. Code available upon request.
This work presents a topological framework for quark confinement in which gluons emerge as induced flow fields between vortex rings rather than as fundamental particles. Quarks are modeled as quantized vortex rings with specific (p,q) torus knot winding numbers, and hadrons arise from topologically linked configurations: Hopf fibrations for mesons (linking number Lk=1) and Borromean rings for baryons (triple linking L3=1). The model predicts hadron masses with sub-1% accuracy using zero adjustable parameters, with confinement arising purely from topological linking energy. Key results include: proton mass predicted to 938.27 MeV (measured 938.27 MeV, error <0.001%); pion mass 139.6 MeV (measured 139.6 MeV, error <0.01%); confinement string tension σ≈0.18 GeV2 consistent with lattice QCD. The framework makes four testable predictions: (1) glueballs do not exist as distinct particles; (2) jet fragmentation exhibits vortex-cascade signatures distinct from gluon splitting; (3) confinement potential is purely linear V(r)=σr with no Coulombic term; (4) pentaquark lifetimes determined by topological barriers. This work was developed by an independent researcher Alexander Mats (registered nurse by profession) with AI assistance (Claude by Anthropic, ChatGPT by OpenAI) for mathematical calculations, LaTeX formatting, and figure generation. All results have been independently verified against experimental data from the Particle Data Group (2024).
Category: Quantum Physics
[24] ai.viXra.org:2601.0025 [pdf] submitted on 2026-01-08 08:58:17
Authors: Rohit Singh Roy
Comments: 29 Pages.
We present a covariant modified gravity framework in which gravitational dynamics are mediated by a scalar field whose effective coupling to baryonic matter is regulated by local radiation energy density. Unlike conventional scalar—tensor theories that rely on fixed coupling constants or ad hoc screening mechanisms, the proposed model introduces radiation energy density as a physically motivated control parameter governing scalar—matter interaction strength. The scalar field obeys a density-gradient—sourced field equation, ensuring negligible deviations from General Relativity in high-radiation or relativistic environments while allowing measurable effects in low-radiation, non-relativistic galactic regimes.We derive the weak-field limit of the theory and obtain a modified Poisson equation that naturally enhances rotational velocities without invoking non-baryonic dark matter. The framework preserves energy—momentum conservation and remains compatible with Solar System constraints, early-universe cosmology, and gravitational lensing bounds under reasonable parameter choices. This radiation-regulated coupling mechanism provides a unified physical explanation for scale-dependent gravitational behavior and avoids fine-tuned potentials or environmental screening fields.The model offers a testable alternative to dark matter by predicting specific correlations between radiation environments and dynamical mass discrepancies, with clear observational implications for galaxy rotation curves, low-surface-brightness systems, and intergalactic environments. This work extends earlier density-dependent scalar frameworks and provides a physically grounded pathway toward emergent gravitational modification driven by local energetic conditions.Earlier works from where it's refined https://ai.vixra.org/abs/2507.0066
Category: Relativity and Cosmology
[23] ai.viXra.org:2601.0024 [pdf] submitted on 2026-01-08 21:32:28
Authors: Sinseok Kang
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
Numbers are defined as symbols denoting the value of existent being. However, zero does not denote an existent value; instead, it functions as the absolute origin criterion before existence emerges. Through the operational contradiction of 0×9 = 0 and the 0(n) notation, we prove the complete non-numerical nature of zero. This is a philosophical proposal that fundamentally reconsiders the ontological foundations of mathematical operations.
Category: General Science and Philosophy
[22] ai.viXra.org:2601.0023 [pdf] submitted on 2026-01-08 22:07:05
Authors: Lluis Eriksson
Comments: 14 Pages.
We develop a finite-dimensional technical core relating spatial separation to effective decoherence-rate envelopes in Davies-type open-system dynamics. We use energy pinching and quantify coherence by the relative entropy between a state and its energy-pinched version. As an external input we use a maintenance inequality that lower-bounds incremental power by temperature times the instantaneous coherence-loss rate.On the operator side we prove: (i) an exact Dirichlet-form identity for the zero-Bohr-frequency channel yielding a witness-based lower bound on instantaneous decay envelopes; (ii) a Bohr-block Dirichlet decomposition for a single-channel Davies generator under quantum detailed balance; and (iii) sufficient envelope-suppression lemmas under infrared exclusion and quasi-local spectral tails, including a variant avoiding factors depending on the smallest Gibbs eigenvalue. On the state side we give an asymptotic linearization on Bohr-block perturbations with fixed diagonal, yielding a direction-dependent effective decay rate. We include finite-size transverse-field Ising chain (TFIM) witness diagnostics and fully reproducible scripts producing the figures.
Category: Mathematical Physics
[21] ai.viXra.org:2601.0022 [pdf] submitted on 2026-01-08 22:09:15
Authors: Lluis Eriksson
Comments: 7 Pages.
We study the relation between geometric separation and dynamical decoherence rates in gapped open quantum systems. We formulate the Rate Inheritance Principle (RIP) as an operational hypothesis: an effective coherence-loss rate extracted from local dynamics can inherit the same distance-suppression envelope as static correlations across an interface of width ε. To avoid quantifier pitfalls, we define a trajectory-averaged operational rate proxy from a fixed protocol, based on the decay of a local relative-entropy coherence functional and a trace-distance influence proxy comparing noisy evolution to an isolated unitary baseline. We implement reproducible numerical stress tests in a gapped 1D transverse-field Ising chain with remote noise acting on a contiguous "environment block" at distance ε. Using TeNPy tensor-network simulations and bootstrap uncertainty estimation, we perform model selection between a pure exponential envelope and an exponential-with-floor model. For the influence proxy considered here, we find no statistically identifiable nonzero floor over the explored separations, and the data exhibit non-monotonic structure consistent with coherent propagation effects in finite-time windows. In contrast, an operatorial Davies-type analysis provides a clean failure mechanism: near-zero Bohr-frequency channels can induce distance-independent rate floors despite static clustering. These results motivate RIP as a falsifiable, observable-dependent interface principle and delineate practical conditions under which geometric protection of dynamical decoherence rates should or should not be expected.
Category: Quantum Physics
[20] ai.viXra.org:2601.0021 [pdf] submitted on 2026-01-08 00:16:12
Authors: Shengliang Dong
Comments: 4 Pages.
We propose a quantum gravity model based on the holographic principle, in which theobservable 3+1-dimensional universe emerges from a discrete 11-dimensional spacetime M =AdS4 × CY3 × S1. The core mechanism fuses the 7-dimensional compact structure in thebulk into a single 1-dimensional topological coupling field κ on the boundary conformalfield theory (CFT), whose fluctuations project the third spatial dimension. Using causaldynamical triangulation (CDT) as an ultraviolet-complete foundation, we derive the lowenergy effective gravitational theory and present three distinctive predictions: (1) stronglyscale-dependent CMB non-Gaussianity (fNLlocal reaching ∼ 10 on small scales k > 0.1 Mpc−1); (2) Planck-scale oscillations in the gravitational-wave background spectrum at f ∼ 1035 Hz, indirectly detectable via distortions in the TeV gamma-ray spectrum; (3) periodic variation of the fine-structure constant (amplitude δα/α ∼ 10−15, period T ∼ 1010 years), within reach of next-generation atomic clocks. These predictions are compatible with the latestdata from Planck PR4 and provide a clear testing pathway for quantum gravity.
Category: Quantum Gravity and String Theory
[19] ai.viXra.org:2601.0020 [pdf] submitted on 2026-01-08 00:26:07
Authors: Lluis Eriksson
Comments: 12 Pages.
We propose an entropic interface between locality, recoverability, and dynamical decay rates across a geometric collar. The central scalar invariant is the conditional mutual information (CMI) Iρ(A : C|B), where B is a buffer separating A and C. In finite dimension (Type I algebras), the Fawzi—Renner theorem implies that small CMI yields a quantitative recovery channel acting on B. We formulate a volume-uniform geometric Markov bound with a boundary prefactor, IρΛ(A : C|B) ≤ σ(∂B) g(w), and summarize recent literature inputs establishing exponential CMI decay in shielded/high-temperature regimes. On the dynamical side, we formulate a Rate Inheritance Principle (RIP) for Davies/KMS-symmetric generators: static Markovness across the collar constrains decay rates on the fast sector F⊥ modulo the fixed-point algebra F = kerL (the ω = 0 floor), with a dynamical input stated as a Poincar´e inequality for a local collar Dirichlet form. The only remaining nontrivial link is isolated as an explicit Dirichlet comparison assumption. We also verify a diagonal (classical) heat-bath comparison and derive a diagonal subsector corollary with an explicit transfer coefficient. Finally, we define a split reduction datum and a split-regularized CMI target quantity for an AQFT lift and include finite-size illustrations/diagnostics.
Category: Quantum Physics
[18] ai.viXra.org:2601.0019 [pdf] replaced on 2026-02-18 13:46:19
Authors: Joseph Shaffer
Comments: 7 Pages.
Relativity and entanglement are very different phenomenon in spite of occupying the same galaxy. We find that galactic rotation curves are an excellent measure of the validity of assumptions made about the apparent velocity of interaction of entanglement variables. There is, of course, no motion at all, but it is convenient describe it as such for computational purposes. For instance, we find that an assumption of a non-local instantaneous kernel gives superb alignment with observed galactic rotation curves. The work below records the excellent results between observation and theory for a number of rotation curves. Note that particle speeds still follow relativistic constraints.
Category: Astrophysics
[17] ai.viXra.org:2601.0018 [pdf] submitted on 2026-01-06 21:49:42
Authors: Adrian Fernandez
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references) https://doi.org/10.5281/zenodo.18165265
We present a rigorous theoretical and observational analysis of LAP1-B, a gravitationally lensed stellar cluster at redshift z = 6.61 ± 0.02, corresponding to a cosmic age of 830 ± 15 Myr, recently observed by the James Webb Space Telescope (JWST). Spectroscopic data reveal extreme properties: an Hα equivalent width of 4200 Å, absence of metal lines (e.g., [O III] < 180 Å), and a top-heavy initial mass function (IMF), consistent with Population III (Pop III) star formation. Withinthe framework of Thermosynthesis Cosmological Theory (TTC), we interpret LAP1-B as anatural outcome of early thermosynthetic cycles, where rapid feedback from pair-instability supernovae (PISNe) drives chemical enrichment on sub-Myr timescales. We demonstrate quantitative agreement between observations and TTC predictions for primordial halos, including IMF shape, star formation rate, and metal yields. The system provides direct empirical support for TTC’s resolution of the early structure formation tension and validates its core tenet: accelerated chemical enrichment via recursive, entropy-driven stellar nucleosynthesis.
Category: Relativity and Cosmology
[16] ai.viXra.org:2601.0017 [pdf] replaced on 2026-04-07 19:09:52
Authors: Mirko Netz
Comments: 356 Pages.
This work presents a formal proof of the functional identity P = NP using differential geometric complexity theory. By employing an adaptive axiomatic system in continuous hyperbolic space (H^n), the classical partitioning of P != NP is reinterpreted as a projection effect of insufficient geometric embedding. We show that primordial symmetry breaking acts as a fundamental system invariant, reducing combinatorial complexity to the geometric necessity of an O(1) process. Driven by the gravity of geometry, the system forces complexity to converge into an "Equilibrium State" where the solution manifests as a geodesic trajectory. This paradigm shift demonstrates the collapse of the complexity classes within a quotient space (NP/P), effectively replacing the temporal search process with structural embedding. Within the framework of ZFC, this treatise establishes this equivalence as a cosmological law of transcendence, providing a unified resolution for both the P versus NP problem and the Collatz Conjecture through the lens of invariant geometric dynamics. By demonstrating the trivial Collatz cycle (4; 2; 1) as a manifestation of universal scale invariance, we establish a "quantitative" fact: the convergence of discrete numerical sequences is a topological necessity within the gravitationally condensed manifold. The resulting quantifiable comparison serves as evidence for the mechanical equivalence between computational complexity and geometric dynamics.
Category: Data Structures and Algorithms
[15] ai.viXra.org:2601.0016 [pdf] submitted on 2026-01-05 18:28:43
Authors: Nathaniel Uhlenkott
Comments: (Note by ai.viXra.org Admin: There is mixup of data table with reference list on the 2nd page and the reference list is not complete/standard such as APA style - Please correct)
The Entanglement Flux Relaxation Model(EFRM) proposes that gravitational dynamicsemerge from the non-equilibrium transport ofquantum information [1, 4]. A characteristicacceleration scale, a0 = Jmax/τ, arises froma finite relaxation time, manifesting as Information Inertia—a physical latency in spacetime’s ability to correct entanglement structure. This framework reproduces MOND phenomenology, explains galaxy cluster offsets via gravitational hysteresis, offers a dynamical resolution of the Hubble tension, and enablesorder-of-magnitude efficiency gains in Quantum Error Correction (QEC) through manifold-aware tracking.
Category: Quantum Gravity and String Theory
[14] ai.viXra.org:2601.0014 [pdf] submitted on 2026-01-05 18:19:37
Authors: Boudjema Abderraouf
Comments: 12 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
The Growth Depth Index (GDI) system provides a comprehensive framework for classifying asymptotic function growth. By capturing both structural hierarchy (depth) and quantitative parameters (rate, exponent coefficient, multiplicative constant), it enables precise comparison of functions across all common asymptotic classes. The key innovation is the preservation of multiplicative constants throughcareful parameter extraction, making the system suitable for implementation in function comparison tools and asymptotic analysis.
Category: Functions and Analysis
[13] ai.viXra.org:2601.0013 [pdf] submitted on 2026-01-05 18:13:50
Authors: Peter Kisiday
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper proposes a revised cosmological hypothesis addressing the missing mass problem (Dark Matter) by transitioning from a "fluid" model to a "solid-state" model (Solid State Universe). The hypothesis posits that Dark Matter consists of Primordial Black Holes (PBHs) arranged in a fractal tetrahedral lattice. This model naturally explains the flat rotation curves of galaxies through the fractal dimension of the lattice and redefines gravity as elastic tension within this cosmic structure. Furthermore, it interprets gravitational waves not as ripples in empty space, but as phonons (vibrations) propagating through this crystalline architecture.
Category: Astrophysics
[12] ai.viXra.org:2601.0012 [pdf] submitted on 2026-01-05 18:09:21
Authors: Maher Zakaria Ahmed Selim
Comments: 109 Pages.
This paper presents a comprehensive unified theory of fundamental physics based on a novel reinterpretation of spacetime as a four-dimensional viscous fluid endowed with six independent 2-forms. Building upon historical fluid analogies in physics while transcending their limitations, we demonstrate that quantum mechanics, electromagnetism, general relativity, and the Standard Model all emerge as collective phenomena from this geometric-fluid dynamical foundation. Our approach begins with a creative synthesis methodology (Section 1) that bridges Quranic cosmology with modern physics, applying informationtheoretic criteria to select the Quranic creation narrative as a source of physical postulates. The resulting model posits spacetime as a closed, circulating 4D viscous fluid (Section 2) with properties analogous to water—small viscosity (related to Planck’s constant ℏ) and small compressibility (related to the speed of light c). The six independent 2-forms of 4D differential geometry (Section 4) provide the fundamental degrees of freedom. Their interactions generate stable vortex configurations identified with elementary particles, whose topological properties (knots and braids) reproduce the complete Standard Model spectrum (Section 5). We derive all particle masses, charges, and coupling constants from first principles through analytical calculations (Sections 6- 7). Quantum mechanics emerges naturally from vortex dynamics (Section 9), with the Schr¨odinger equation arising as the non-relativistic limit of vortex filament equations and the uncertainty principle originating from statistical fluctuations in vortex configurations (Section 10). Maxwell’s electrodynamics is rigorously derived as the effective theory of interacting vortices (Section 11), recovering both homogeneous and inhomogeneous equations along with the Lorentz force law. Einstein’s field equations of general relativity emerge as the macroscopic fluid dynamics of the spacetime medium (Section 12), with curvature arising from pressure gradients and viscosity effects. The cosmological constant Λ naturally appears as residual vacuum energy from 2-form fluctuations. Thermodynamics and entropy increase (Section 13) are shown to be fundamental aspects of the fluid’s statistical mechanics rather than independent principles. This framework resolves several long-standing puzzles in fundamental physics: u2022 Unification: All forces emerge from common fluid-dynamical origin u2022 Quantization: Naturally follows from topological constraints on vortices u2022 Constants: c, ℏ, G, α derived rather than postulated u2022 Hierarchy problems: Mass scales emerge from vortex complexity u2022 Quantum gravity: Provides UV completion through fluid microstructure The model makes testable predictions including deviations from Maxwell and Einstein theories at Planck scales, characteristic gravitational wave signatures from vortex interactions, and specific relationships between particle properties and topological invariants. (Truncated by ai.viXRa.org Admin to < 400 words)
Category: Quantum Gravity and String Theory
[11] ai.viXra.org:2601.0011 [pdf] submitted on 2026-01-04 08:34:29
Authors: Brent Hartshorn
Comments: 11 Pages.
In this paper we demonstrate that the transition from a stable Dodecahedral Core (Valamontes, 2024) to the "Wild" chaotic phase corresponds physically to the "Elongated Phase" of 4-D simplicial quantum gravity (Gionti, 1997). This phase is characterized by the emergence of Besicovitch (Kakeya) needle sets—fractal structures that achieve maximal directional complexity within minimal volumetric measure. We introduce the Gyrobifastigium as the fundamental space-filling unit capable of mediating the geometric friction between the periodic dodecahedral vacuum and the aperiodic Einstein Monotile global structure. Finally, we map this geometric resolution onto a 3D temporal framework ($tau$-space), where the "Big Bang" is redefined as a retrocausal pruning process of a "Nine-Tile" super-compatible state, effectively solving the universal NP-hard tiling problem of the vacuum through informational synchronization.
Category: Mathematical Physics
[10] ai.viXra.org:2601.0010 [pdf] replaced on 2026-02-15 01:21:14
Authors: Ryuhei Sato
Comments: 10 Pages. v1.1
We derive the gravitational constant G and the cosmological constant Λ from first principles,requiring zero adjustable parameters, by analyzing the geometric frustration inherent in 600-celltessellation of four-dimensional space. When five regular tetrahedra meet at a shared edge, theyfail to close by a deficit angle δ ≈ 7.36◦, generating intrinsic curvature without requiring external embedding dimensions. Combining Israel junction conditions with Regge calculus, we obtainG = 6.60 × 10−11 m3/(kg·s2), achieving 1.1% agreement with the observed value—a precisionunprecedented for parameter-free derivations. We introduce the concept of informational Paulirepulsion—the inevitable information collision during dimensional reduction from infinite to threedimensions—which serves as the physical driver of cosmic expansion and will be detailed in PartII as the origin of dark energy. The 122-order-of-magnitude discrepancy between quantum fieldtheory’s vacuum energy prediction (∼ 10113 J/m3) and observation (∼ 10−9 J/m3) is resolved towithin a factor of two via holographic screening: a global information overlap factor Ωglobal ∼ 10122suppresses the bare frustration energy. This geometric framework establishes the foundation for Part II’s derivation of the Light-Speed Resource Allocation Principle (LRAP) and the reinterpretation of black hole singularities as computational arrest zones, culminating in Part III’s proof that six-fold hierarchical jamming transitions are arithmetically necessary to maintain thermodynamic stability.
Category: Relativity and Cosmology
[9] ai.viXra.org:2601.0009 [pdf] submitted on 2026-01-04 20:45:49
Authors: Shanzhong Zou
Comments: 3 Pages.
This article reveals that the Riemann Hypothesis can be attributed to the combined effect of two geometric projections within three-dimensional real space: the projection of the function's non-trivial zeros onto the complex plane, and the projection of the singularity at the point S=1 on the real axis onto the real number plane.
Category: Mathematical Physics
[8] ai.viXra.org:2601.0008 [pdf] submitted on 2026-01-02 12:50:13
Authors: Steven Hammon
Comments: 8 Pages.
This paper explores two aspects. #1 Vacuum fluctuations are potentially amplified by gravitational waves, and electrons moving in atoms create gravitational waves (propagation of changes in gravitational influence). Atoms, thermally oscillating, also create gravitational waves. #2 Gravity as the different propagation rates of wave-like mass through quantum foam which causes a refraction effect, curving all random thermal oscillations to more generally curve in the direction of denser regions of quantum fluctuations. That means the average movement (Stochastic Drift, Net Vector), will be towards other masses.
Category: Quantum Gravity and String Theory
[7] ai.viXra.org:2601.0007 [pdf] submitted on 2026-01-02 13:26:10
Authors: Lluis Eriksson
Comments: 21 Pages.
We prove a quantitative clustering—recovery bound for centered quasi-free (Gaussian) states in a finite-mode bosonic CCR (Weyl) setting. Motivated by split inclusions in algebraic quantum field theory, we work in a regularized framework where Gaussian states are parametrized by finite covariance matrices and a recovery map admits an explicit covariance block formula. Using a perturbative Gaussian fidelity input together with explicit coercivity bounds for inverse covariances, we bound the recovery error in terms of a vacuum cross-correlation factor, a cross-correlation perturbation parameter, and a recovery-error matrix norm ||ΔΓ||_HS, with an explicit quadratic+quartic structure. In a distinguished class (Family A, X = X0), this reduces to a bound in terms of the cross-block error ||Δ^(12)||_HS. We include ancillary numerical sanity checks verifying the perturbative regime, a collar-envelope decay model, a dimension sweep n1 = n2 in {1,2,3}, and phase-diagram checks of the perturbative domain.
Category: Mathematical Physics
[6] ai.viXra.org:2601.0006 [pdf] replaced on 2026-01-03 17:43:27
Authors: Julio C. Luna
Comments: 95 Pages. Updated to [include] a formal Abstract, Keywords, and detailed Table of Contents. Added a comprehensive Bibliography and moved computational reproducibility logs to Appendix Y to ensure deductive clarity.
We present the Lossless Vessel framework, an operator-theoretic approach to establishing an unconditional analytic closure for the Riemann Hypothesis (RH). The argument is organized into three firewalled domains: (A) a fully deductive proof, (B) conceptual interpretation, and (C) computational reproducibility artifacts. In Domain A we reduce RH to an Execution Bound EB(ε) and prove EB(ε) uniformly for all ε>0 via a defect-to-Carleson control mechanism for the arithmetic boundary field, concluding that every non-trivial zero ρ of ζ(s) satisfies Re(ρ)=1/2. The proof draws on standard tools from analytic number theory and harmonic analysis, including Hardy-space embeddings and Carleson measure estimates (see, e.g., [1—5]). Computational material is included only for auditability and is not used as a logical premise.
Category: Artificial Intelligence
[5] ai.viXra.org:2601.0005 [pdf] replaced on 2026-01-04 13:55:51
Authors: Birke Heeren
Comments: 24 Pages.
This paper introduces the "Cosmos Automaton" (CA), a deterministic fractal automaton that generates prime numbers through symbolic operations rather than direct primality testing. By treating the sequence of natural numbers as a dynamic process, we show that primality emerges from the constructive interference of "pulse trains" (periodic symbolic words). We demonstrate that the CA’s structures are isomorphic to the set of natural numbers and that its evolutionary steps correspond to arithmetic progressions. This approach provides a visual and algorithmic bridge between automata and the distribution of primes, leading to a definition of primality based on geometric expansion. This provides a new algorithmic perspective on the structure of primes.
Category: Number Theory
[4] ai.viXra.org:2601.0004 [pdf] submitted on 2026-01-01 11:55:22
Authors: Steven Hammon
Comments: 34 Pages.
This paper introduces the concept of the vacuum energy field and excited quantum fluctuations, relating specifically to their relation to the stress-energy tensor, and the ramifications of that, especially in regard to waves propagating through the vacuum energy field. It explores how the vacuum energy field is warped by mass, how it is excited by intense regions of field volatility, and touches on how the gravitational effects of spacetime could be applied to this field. It also explores gravitational effects in regard to time dilation, a MEMS experiment to observe vacuum energy phenomena and proposes experiments and models that could test the predictions.
Category: Relativity and Cosmology
[3] ai.viXra.org:2601.0003 [pdf] submitted on 2026-01-01 11:56:58
Authors: Steven Hammon
Comments: 35 Pages.
This paper explores the ramifications of non-particulate vacuum energy as the medium in which electromagnetic and gravitational waves propagate. This has been explored in the past and rejected based on experimental data, but recent discoveries have added credence to the possibility that the experiment’s conclusions could have been inaccurate. The Michelson-Morley Experiment found a null result ruling out the possibility of Earth traveling through a light-propagating medium. However, with Inflation Theory posing that spacetime flowed out faster than light could travel, then we have to consider that spacetime can flow. With the evidence that the Gravity B probe provided about frame dragging, there is the possibility that spacetime is dragged with the Earth. This then allows us to explore how a spacetime medium can affect velocity time dilation and the ramifications of how a dynamic spacetime medium may behave.
Category: Relativity and Cosmology
[2] ai.viXra.org:2601.0002 [pdf] submitted on 2026-01-01 12:00:04
Authors: Steven Hammon
Comments: 35 Pages.
This paper builds on the work from two previous papers. Quantum Fluctuations as the Substrate of Spacetime establishes the Fundamental Energy Field (FEF) as the mechanism for forming particles, gravitational time dilation, and potentially dark matter. Velocity Time Dilation and Spacetime Frame Dragging explores velocity time dilation, frame dragging, potential warp bubbles, and crucially, the proposition that time dilation is equal to the average delay of quantum "Cause and Effect" propagation across the x, y, and z axes relative to the direction of motion. This paper argues that without factoring the total time dilation of individual areas of the cosmos at different times in history, there is a possibility that we are interpreting observations without the full picture of the underlying reality. This requires the introduction of a comprehensive total time dilation factor (Γ), which integrates static gravitational field density (γg), velocity-induced field compression (γξ), and kinematic velocity (Γv). The resulting model offers a more comprehensive view of cosmological phenomena and proposes new time dilation maps. These can be overlaid and combined with existing cosmological models to potentially shed light on many current mysteries of the universe.
Category: Relativity and Cosmology
[1] ai.viXra.org:2601.0001 [pdf] submitted on 2026-01-01 12:01:20
Authors: Steven Hammon
Comments: 24 Pages.
This paper reinterprets cosmology through the lens of non-particulate vacuum energy. It explores the mechanics of a hypothesized Big Bounce cyclic universe, consisting of a shock-wave shell with potentially black hole density beyond the cosmological horizon. It considers how Newton’s Shell Theorem may not hold for a dynamically evolving shell with finite gravitational propagation speeds, leading to a net expansion of the observable universe accelerating toward the shell. Finally, the model outlines testable predictions.
Category: Relativity and Cosmology