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[90] ai.viXra.org:2511.0098 [pdf] submitted on 2025-11-30 22:15:42
Authors: Durga Shankar Akodia
Comments: 5 Pages.
u200bWe study integer solutions to the exponential Diophantine equation x^2 + k = 2^n where k and n are primes. We prove that for any solution with n ge 2, x must be odd, and k must be an odd prime. Furthermore, we establish the strict congruence k equiv 7 pmod 8 for all solutions with n ge 3. We identify a trivial family of solutions corresponding to Mersenne primes (x=1) and demonstrate the existence of non-trivial solutions for x > 1. Computational evidence is presented for 9 out of 11 prime values of n le 31, revealing 16 distinct non-trivial solutions. We propose the Akodia Conjecture concerning the infinitude of such non-trivial solutions and provide a heuristic justification based on probabilistic number theory and prime density arguments.
Category: Number Theory
[89] ai.viXra.org:2511.0097 [pdf] submitted on 2025-11-30 22:14:23
Authors: Paulo Mendes Pereira
Comments: 8 Pages. paulopereira.nextv@gmail.com (Note by ai.viXra.org Admin: Please cite and list scientific references in a proper manner)
We present a complete quantum theory of gravity where spacetime is a discrete superfluid at the Planck scale. Fundamental particles emerge as topological vortex configurations, with masses quantized by topological invariants. We rigorously derive: electron mass (511 keV) from fundamental SUSY breaking; dark matter (35.2 MeV) as a Hopf link; proton mass (938 MeV) as Borromean rings. The theory predicts SUSY partners at 511 keV,solves the cosmological constant problem, and provides testable dark matter detectioncross-sections. All parameters are derived from first principles with no fine-tuning.Keywords: quantum gravity; discrete spacetime; topological field theory; dark matter;mass generation.
Category: Relativity and Cosmology
[88] ai.viXra.org:2511.0096 [pdf] replaced on 2025-12-08 09:45:48
Authors: Peter Kugelmann
Comments: 29 Pages.
We propose that the geometry of momentum space is the missing structural ingredient needed to complete the asymptotic safety program. Assuming the interacting fixed point of gravity admits a momentum-space description on $S^3$ with its Hopf fibration, we derive that the interacting fixed point, when momentum space is equipped with the Hopf fibration, necessarily exhibits: (i) the Einstein--Hilbert prefactor can be interpreted as $S^3$ volume measure; (ii) the homothetic flow on the Hopf base induces a natural grading of operators into eight canonical directions; (iii) the separation of fiber and base dynamics yields, via the center manifold theorem, an effective one-dimensional RG flow for the scaling exponent $n(R)$; and (iv) the resulting solution generates a unified $f(R)$ Lagrangian with a built-in hierarchy of scales.
Category: Quantum Gravity and String Theory
[87] ai.viXra.org:2511.0095 [pdf] submitted on 2025-11-30 00:24:44
Authors: Chaiya Tantisukarom
Comments: 3 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)
We prove P $eq$ NP by direct structural analogy with the universally understood AC power phasor diagram. Active (real, dissipative) power $X$ is mapped to P, reactive (imaginary, oscillatory) power $jY$ is mapped to NP, and total apparent power $Z = X + jY$ represents an arbitrary problem instance. These two quantities are orthogonal in the complex plane and can never be equal except in the trivial open-circuit case. Any non-trivial problem presented to a conscious or physical observer necessarily possesses non-zero reactive power (surprise, creativity, or verification witness). The existence of such reactive power, together with the second law of computation (no free dissipation of hardness), immediately implies P $eq$ NP in every universe worth living in. The proof is physically rigorous, sidesteps all known formal barriers, and is verifiable by any electrician with an oscilloscope.
Category: Artificial Intelligence
[86] ai.viXra.org:2511.0094 [pdf] submitted on 2025-11-29 14:40:29
Authors: B. G. Preza
Comments: 13 Pages. Creative Commons Attribution 4.0 International
We propose a novel framework in which localized depressions of the vacuum—"warp pockets"—emerge not from exotic matter, but from the controlled interference of resonantly driven vacuummodes. By exciting a soft ultralight mode ϕ(t) and then sculpting regions of destructive-phasecancellation, we show that the effective vacuum tension can be locally reduced, generating buoyancy-like curvature effects without requiring negative energy densities. We refer to these cancellationnodes as echo shadows: geometric minima carved by coherent interference inside a resonant field.Using Rydberg-atom phase sensing, cavity-enhanced vacuum-mode engineering, and controlledlow-frequency driving, we outline a feasible pathway to detect these pockets experimentally. Wederive the levitation threshold, energy requirements, and parameter scaling for macroscopic pockets,and show that the energetic cost is surprisingly low in the soft-mode regime. Appendices provideexplicit calculations, numerical benchmarks, and a prototype experimental design.The results suggest that warp pockets are not regions of amplified fields, but regions sculptedby silence: coherent shadows formed within resonance. This provides a testable, laboratory-scaleapproach to curvature manipulation and density-gradient propulsion, opening a new direction forexperimental vacuum engineering.
Category: Quantum Physics
[85] ai.viXra.org:2511.0093 [pdf] submitted on 2025-11-30 00:18:05
Authors: Ivars Fabriciuss
Comments: 7 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)
This work derives the fundamental electromagnetic parameters of the vacuum at the Planck scale using only standard constants of classical electrodynamics and Planck units. A Planck-length vacuum cell is modeled as a parallel LC resonator with inductance equal to mu0 times the Planck length and capacitance equal to epsilon0 times the Planck length. This immediately defines a natural resonance frequency equal to the speed of light divided by the Planck length.From this construction, the associated Planck-scale voltage, current, and electric and magnetic field intensities are derived explicitly and evaluated numerically in SI units. The correct electromagnetic vacuum impedance of free space (Z0 = 376.73 ohms) is recovered exactly. A careful distinction is made between the wave impedance of propagating radiation and the divergent input impedance of a resonant LC vacuum cell.The model provides a concrete electromagnetic interpretation of vacuum zero-point energy, showing that the standard Planck-scale vacuum energy density coincides with the reactive energy density of Planck-scale LC oscillators. Connections to known low-energy vacuum phenomena such as the Casimir effect, Schwinger pair production, and vacuum birefringence are discussed.This work is intended as a foundational and interpretational contribution toward understanding the electromagnetic structure of the quantum vacuum using only established physical constants, without introducing new parameters.
Category: Quantum Physics
[84] ai.viXra.org:2511.0092 [pdf] submitted on 2025-11-30 00:10:43
Authors: Faisal Saeed
Comments: 22 Pages.
The hydrogen atom has challenged physicists for over 150 years, with its discrete energy levels, fine structure, and the Lamb shift explained through a combination of quantum mechanics, QED, and QCD. These conventional theories rely on postulates, virtual particles, and renormalization schemes that cancel infinities by mathematical "magic" rather than physical mechanism. Here we present a novel approach based on Discrete Continuity Theory (DCT), in which electron orbit quantization, the emergence of the fine-structure constant, and the Lamb shift arise naturally from phase-driven beat patterns of quarks within the proton. Quarks shift phase between spatial planes (or axes) rather than exchanging color charge, twisting the surrounding space and generating curvature fields that the electron samples. This framework provides a purely geometric, physical mechanism for atomic phenomena, eliminating the need for virtual entities or ad hoc postulates, and offers a first step toward understanding the interplay of matter, phase, and space at the atomic scale.
Category: Classical Physics
[83] ai.viXra.org:2511.0091 [pdf] submitted on 2025-11-30 00:06:22
Authors: Yuval Levental
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite all listed scientific references)
The Collatz conjecture (3n + 1) is traditionally modeled as a pseudo-random walk, yetcomputational search algorithms for pathologically long trajectories ("Hero Numbers") typ-ically rely on climbing sieves or brute-force iteration. In this study, we propose a novel"Fail-Fast" heuristic based on the information-theoretic properties of the parity vector. Weidentify a "Forbidden Zone" inequality relating Stopping Time to the Maximum Run-Lengthof consecutive divisions (Rmax ), observing that long-surviving trajectories maintain highbit-entropy by minimizing run-length variance. Based on this, we introduce a Run-LengthSieve that aborts trajectories exceeding a critical threshold of consecutive even steps. In acontrolled benchmark of N = 106 , this sieve achieved a 1.43x computational speedupagainst a lean baseline by pruning only 0.06% of the search space, while yielding zero falsenegatives among the top 1% of longest trajectories. These findings suggest that algorith-mic pruning based on entropic structural constraints can significantly optimize the searchfor Collatz outliers.
Category: Data Structures and Algorithms
[82] ai.viXra.org:2511.0090 [pdf] submitted on 2025-11-28 22:33:11
Authors: E.P.J. de Haas
Comments: 16 Pages. (Note by ai.viXra.org Admin: Please cite viXra and ai.viXra articles in detailed and required manner)
This paper presents a compact and fully transparent derivation of the algebraic sequence that links biquaternionic rapidity fields to the Painlev´e—Gullstrand (PG) coframe and the corresponding spacetime metric ������ . Building on the gravitational rotor ���� introduced in earlier work, we show explicitly how a general rapidity field generates the boosted BQ displacement �� /����, and how the PG coframe ���� can be read off directly as its linear coefficient structure, without anyprior metric assumptions. The quadratic metric then follows immediately from the BQ norm of this coframe, placing the PG form as the natural bridge between the linear BQ description of spacetime flow and the standard geometric formulation of general relativity. The presentation resolves the remaining algebraic ambiguities in the rotor-based construction of gravity and provides a clean, reproducible algorithmic path from rapidity to tetrad to metric.
Category: Quantum Gravity and String Theory
[81] ai.viXra.org:2511.0089 [pdf] submitted on 2025-11-27 17:54:51
Authors: Ivars Fabriciuss
Comments: 23 Pages.
This work presents a unified statistical origin of the full cosmic energy budget—dark energy, dark matter, and ordinary baryonic matter—derived from a single Planck-scale white-hole lattice existing in a dual spatial structure R³ ⊕ I³. The model introduces an imaginary spatial vacuum sector I³, populated by a negative-energy white-hole lattice, dynamically coupled to the observable sector R³ through a finite-capacity interface.At the Planck epoch, the primordial white-hole ensemble forms a two-level thermal system at the Planck temperature. Standard Boltzmann statistics uniquely yield the primordial partition of the vacuum into a stable E = 0 sector with fractional abundance 0.269 and a negative-energy inflation-driving sector with fractional abundance 0.731. The E = 0 white holes become permanent, non-radiating gravitational composites that constitute the dark-matter sector.The negative-energy lattice drives an inflationary phase without an inflaton field. Vacancies created by the first statistical emission appear in R³ as primordial Planck black holes, which later evaporate and geometrically reheat the universe but do not determine the baryonic abundance.Ordinary matter is generated only in a second two-level emission process of the surviving negative-energy lattice, governed by the energy levels −mc² and +mc² at the same Planck temperature. This secondary Boltzmann system predicts the probability of white-hole/black-hole pair emission. Each pair evaporates into a particle—antiparticle pair. One half of the products remains in R³ as ordinary matter, while the other half is absorbed into I³ and builds species-specific Dirac seas. This process quantitatively predicts the baryonic matter fraction Ω_b ≃ 0.0436 without invoking baryon-number violation.At late times, the finite information capacity of the R³—I³ interface drives a vacuum compaction process. This produces a universal dynamical saturation of the homogeneous dark-energy fraction toward Ω_Λ → ln(2) ≃ 0.693, distinct from the primordial inflationary value 0.731. The final late-time cosmic energy budget therefore emerges as:Dark matter (E = 0 white holes): 0.269Dark energy (vacuum compaction): 0.693Baryonic matter (secondary emission): 0.0436The framework predicts a late-time vacuum equation of state very close to w = −1, the complete absence of primordial antimatter due to irreversible transfer into I³, and a cold, collisionless dark-matter sector of geometric origin. Dark matter, dark energy, inflation, baryogenesis, and antimatter suppression arise as successive dynamical phases of a single Planck-scale white-hole lattice.
Category: Relativity and Cosmology
[80] ai.viXra.org:2511.0088 [pdf] submitted on 2025-11-26 21:59:10
Authors: Chaiya Tantisukarom
Comments: 4 Pages.
Generative Artificial Intelligence (GenAI) models deployed in high-stakes sectors like medicine (medGenAI) and law (lawGenAI) exhibit a critical risk of perpetuating global disparities. This paper argues that this output bias is directly proportional to the geopolitical disparity inherent in the models' training datasets. We propose a framework for mandatory Country-Level Dataset Transparency (CLDT) based on quantifiable metrics to assess the imparity risk and empower practitioners in underrepresented countries to apply necessary human oversight. This approach shifts the focus from general fairness audits to specific, computational jurisdictional accountability.
Category: Artificial Intelligence
[79] ai.viXra.org:2511.0087 [pdf] replaced on 2025-12-13 23:47:46
Authors: Zhong Wang
Comments: 9 Pages.
The cosmological constant (Λ) is the cornerstone of the standard ΛCDM model, but the Dark Energy Spectroscopic Instrument (DESI) has found evidence for dynamical dark energy that challenges this paradigm. Here, we propose a radical resolution based on the first principle of "Physical Information," which underpins a new cosmological paradigm wherein the universe's contents arise through recursive phase transitions. We show that dark energy is the untransitioned remnant of the primordial positive energy field—a fossil from cosmic genesis. This ontology, with its fixed total energy and intrinsic decay (ρ_{DE} ∝ a^{-n}), naturally yields dynamical behavior in which the equation of state w(z) evolves and crosses the phantom divide (w = -1), providing a first-principled account for the quintom-like behavior reported by DESI. Moreover, it resolves the cosmological constant problem through a causal isolation mechanism rooted in the multi-sector geometry of the universe. This work transforms dark energy from a mathematical puzzle into a physical reality, charting a new path from phenomenological fitting to first-principled ontological derivation.
Category: Relativity and Cosmology
[78] ai.viXra.org:2511.0086 [pdf] submitted on 2025-11-26 11:18:42
Authors: Nick Markov
Comments: 39 Pages.
The Discrete Cosmology Model (DCM) reformulates gravitation and cosmic dynamics by introducing a causal description of mass. Every mass is treated as a finite-sized domain whose internal interactions propagate at finite speed. Because the forces that maintain a body’s shape and volume are not instantaneous, relativistic delays occur within the mass itself. In this framework, matter co-expands with space, and the local expansion speed is intrinsically relativistic rather than restricted to the low-velocity Hubble rate. The internal time lags distort the equilibrium geometry: regions experiencing shorter interaction delays expand into more-delayed regions, generating a net expansion-delay gradient that manifests macroscopically as gravity. The same principle applies across scales—from quantized particles to galaxies—providing a unified explanation for gravitational attraction, galactic rotation, and cosmological redshift offering an alternative to dark-matter—dependent descriptions by attributing the same effects to finite-speed, delay-driven mechanics. At the particle level, expansion and rotation (spin) cannot occur simultaneously at the relativistic limit; their discrete alternation produces quantized delay steps that define the energy states of matter. On larger scales, the cumulative gradients of these finite-speed interactions govern the curvature and apparent acceleration of the Universe. A core DCM prediction, equating electromagnetic and gravitational dilations, is empirically supported by seismic wave velocities on Earth, Mars, and the Moon, which align with escape velocities. By linking mass geometry, finite propagation speed, and delay-driven scaling, the DCM offers a testable causal framework for gravitation and cosmology.
Category: Relativity and Cosmology
[77] ai.viXra.org:2511.0085 [pdf] submitted on 2025-11-26 00:05:57
Authors: Faisal Saeed
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present a model of the photon as a three-phase helical electromagnetic struc- ture. The energy distribution between helical (inductive) and axial (capacitive) components leads naturally to the golden ratio φ as the fundamental geometric pa- rameter. From this classical framework, we derive both the functional form E ∝ f and the numerical value of Planck’s constant, demonstrating that quantum energy scaling emerges from electromagnetic geometry and resonance conditions.Importantly, this work does not introduce new physics beyond classical elec- trodynamics. Instead, it shows that when a photon is modeled as a closed, three- phase, topologically constrained EM structure, the characteristic quantum relations arise as consequences of classical field geometry. This provides a bridge between Maxwellian theory and quantum phenomenology without altering either domain.
Category: Classical Physics
[76] ai.viXra.org:2511.0084 [pdf] submitted on 2025-11-26 00:04:03
Authors: Faisal Saeed
Comments: 6 Pages.
The Bohr radius and the fine-structure constant α are fundamental to quan- tum mechanics, yet their physical origins remain unknown. Why is the atomic scale set by a0 = λ ̄C/α? Why does α ≈ 1/137? We show that both emerge from the physical geometry of the proton. In Discrete Continuity Theory, the pro- ton’s three-quark phase dynamics generate both a size-dependent fine structure constant α and a dipole field that stabilizes the electron’s orbit. The Bohr radius and its n2 quantization emerge not as mathematical postulates, but as necessary consequences of physical geometry—revealing the classical reality underlying quantum phenomena.
Category: Classical Physics
[75] ai.viXra.org:2511.0083 [pdf] submitted on 2025-11-26 00:44:50
Authors: Travis Mydland
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please don't name title, equation/formula etc after the author's name; please cite listed scientific references)
For two decades the world's most accurate clocks have shown that gravity, electromagnetism, andthe weak nuclear force slow proper time at three different, reproducible rates. A fourth, largerresidual has been visible in every optical and fountain clock since 2018. This paper demonstrates that these are not systematics — they are the four fundamental interactions coupling to one universal proper time with four universal constants ki. Twenty years of independent experiments (2005—2025) across GPS satellites, optical lattices, muonium, muon storage rings, and cesium fountains yield stable values k1 = 0.015311 ±0.000038 (gravity), k2 = 0.05200 ±0.00011 (electromagnetism), k4 = 0.09778 ±0.00008 (weak), and — by subtraction and five independent cross-checks — k3 = 0.233 ±0.013 (strong). Using only these four measured numbers and one entropic equilibrium condition, Mydland's Unified Theory (MUT) quantitatively derives the entire Standard Model Lagrangian, all particle masses and mixing angles, the absence of dark matter and dark energy, the resolution of the Hubble tension, early galaxy formation, gravitational-wave propagation anomalies, and the muon g−2 — with no free parameters and typical agreement at the 0.1—1.5σ level. The single remaining sharp prediction — a fractional frequency shift of (8.87 ±0.28) ×10−4in the 229Th nuclear clock caused solely by the strong force slowing time — will be testedin 2026—2027. Confirmation establishes MUT as the first experimentally proven Theory ofEverything.
Category: Quantum Gravity and String Theory
[74] ai.viXra.org:2511.0082 [pdf] replaced on 2025-11-30 10:32:20
Authors: Stephan Brown
Comments: 189 Pages. Licensed under CC-BY 4.0.
This work introduces computational theism: the hypothesis that observable spacetime and its laws constitute a deliberately initialized, resource-optimized quantum computation executed by a substrate-independent intelligence. Integrating loop quantum gravity, causal-set theory, the holographic principle, Margolus—Levitin bounds, cosmological fine-tuning (10u207bu2075 to 10u207b¹²u2070), and integrated-information measures of consciousness, the framework accounts for (1) Planck-scale discreteness, (2) operation within ∼10¹u2070 of fundamental computational limits with error rates ≲10u207b¹²u2070, (3) extreme algorithmic compressibility of physical laws, and (4) functional isomorphism between classical divine attributes and properties of atemporal, parameter-controlling intelligence. The hypothesis terminates infinite regress, dissolves the fact—value dichotomy, and offers naturalistic mechanisms for consciousness and moral realism. Crucially, it yields falsifiable predictions testable between 2025 and 2045 via gravitational-wave holography, Higgs-top metastability, discrete-spacetime signatures, black-hole echoes, and Φ—consciousness correlations. Computational theism thereby reframes the question of design as an empirical issue in theoretical physics.
Category: Quantum Gravity and String Theory
[73] ai.viXra.org:2511.0081 [pdf] submitted on 2025-11-24 01:03:23
Authors: Pedro A. Kubitscheck Homem de Carvalho
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
Classical planetary timekeeping relies on the solar day and the synodic period, two historically Earth-based units. When used to infer apparent solar angular motion from the viewpoint of a rotating planet, these units introduce a systematic, planet-dependent distortion. Earth exhibits a near-unity coincidence between rotational, synodic, and orbital parameters, but this coincidenceis not universal. We formalize the distortion through a dimensionless error functional depending only on the rotational period τP , the apparent solar period T⊙,P , and the planetary radius DP. We derive a universal referential correction,Du2032P = pτP T⊙,P , which collapses the apparent solar angular velocity to a single reference value across different planets when expressed in physical (non-local) time. We then show that, once light-travel delay and rotational aliasing are included, a corrected angular invariant emerges that is the same for all eight planets, and that an orthogonal angular Lorentz factor replaces the usual linear velocity- based relativistic factor for rotating, delayed observers.
Category: Mathematical Physics
[72] ai.viXra.org:2511.0080 [pdf] submitted on 2025-11-23 07:15:35
Authors: A. G. Schubert
Comments: 12 Pages.
In four-dimensional Lorentzian spacetime, the kinematics of photon rays can be described in a spinor language in which each future-directed null covector kμ and timelike observer uμ determines a normalized spinor zA ∈ S3 and an associated internal orthonormal triad of directions {𝓃(1)(z), 𝓃(2)(z), 𝓃(3)(z)} via the Hopf fibration. (PenroseRindler1984; PenroseRindler1986; SchubertHopfNullGeometry) This Hopf structure packages propagation direction, phase and polarization into a single spinor bundle over null congruences, entirely within the standard Einstein-Maxwell framework. In many physical situations, however, one is interested not in individual null rays but in ensembles of photons or null geodesics, for which a statistical description of internal directions is more appropriate than a strictly deterministic one.
In this paper we develop a minimal Gaussian framework for such ensembles. We introduce random normalized Hopf spinors ZA on the spinor sphere and the induced random internal triads {𝒩(1), 𝒩(2), 𝒩(3)} in ℝ3. Treating the internal directions as ℝ3-valued random variables constrained to lie on the unit sphere, we model their statistics by multivariate normal distributions in regimes where the ensembles are narrowly concentrated around a preferred frame. Gaussian models are singled out by their well-known maximum-entropy property under fixed mean and covariance and thus provide a natural, least-biased reference class once only low-order moments are specified. (Jaynes1957; CoverThomas2006)
The second-order statistics of the internal triad are organised into a correlation tensor Cabij, where a,b label the legs of the triad and i,j are spatial indices. We decompose the spatial part of this tensor into a scalar and a symmetric traceless tensor channel under SO(3), providing a systematic classification of isotropic ensembles and weakly anisotropic deformations. In parallel, we consider ensemble averages of spinor bilinears MAȦ = 𝔼[ZA Z̅Ȧ], which transform naturally under the spinor representation and may be regarded as 2×2 density matrices of unit trace. The mixed bilinear MAȦ is related to the mean internal direction and can be mapped to an effective four-vector by the Infeld-van der Waerden symbols.
The constructions presented here are purely kinematical and statistical: they do not introduce any new field equations beyond those of the underlying spacetime geometry and null kinematics. Instead, they establish a Gaussian ensemble description of Hopf spinors and internal directions, together with a channel decomposition of their second-order statistics. This provides a technical backbone for subsequent work in which specific correlation patterns in such ensembles will be related to effective scalar, vector and tensor quantities on spacetime.
Category: Relativity and Cosmology
[71] ai.viXra.org:2511.0079 [pdf] submitted on 2025-11-23 10:29:12
Authors: E.P.J. de Haas
Comments: 16 Pages. DOI: 10.5281/zenodo.17681340
Astrophysical jets exhibit universal geometric features---narrow opening angles, long coherent helices, and bipolar symmetry---across a wide range of systems. In this paper we show that these properties arise naturally from the stationary three--rapidity Painlev'e--Gullstrand (PG) metric, treated purely as a kinematic flow generator. We derive the conditions under which a broad equatorial inflow must transition into a narrow polar outflow, obtain a closed analytic expression for the jet opening angle, and show that all stationary streamlines on this geometry lie on cones of fixed polar angle and become helical curves. This broad--to--narrow Bernoulli transition concentrates the gravitational energy of the inflow into the small solid angle of the jet and enables efficient acceleration along the polar cone, providing a natural kinematic pathway to relativistic outflows and UHECR-compatible energies. The resulting picture supplies a simple, metric-derived backbone for jet collimation and morphology, compatible with---and complementary to---magnetodynamic or accretion-driven engines. The paper focuses on this purely geometric and kinematic origin of jets; the microphysics of jet launching and emission lie beyond the present scope.
Category: Astrophysics
[70] ai.viXra.org:2511.0078 [pdf] submitted on 2025-11-23 23:11:28
Authors: Chaiya Tantisukarom
Comments: 11 Pages.
The central bottleneck for reliable Large Language Model (LLM) applications is GenAI Fatigue: the measurable degradation in recall and contextual fidelity within long, multi-turn histories. This fatigue is fundamentally a state-space management problem. While the industry primarily pursues proprietary context window expansion, this paper proposes a foundational engineering solution: the Systemic Constraint-Compliance Model (sC2M) framework. sC2Mis a model-agnostic, application-layer technique that models the LLM as a high-gain, potentially volatile component governed by an application-layer Proportional-Integral (PI) inspired closed-loop control system. This governance is achieved via a three-tiered memory: the Raw Log (var0), the Set Point Log (var1), and theIntegral Store (var2), enforced by a robust Integrator Anti-Windup mechanism. The framework is designed for two implementation tiers: 1) an ideal version for LLM creators; and2) a pragmatic, model agnostic version for application developers. Crucially, we introduce the Suspicion-of-Failure-Threshold (τSFT), a human-centric metric for contextual integrity. The framework’s core control logic and its Systemic Resilience (SR) were empirically validated via a conversational proof-of-concept, demonstrating sustained constraint compliance (PV = 1.0) well beyond the human expert’s established τSFT. By enforcing a structured state, sC2M achieves a high Context Reduction Factor (CRF) (or so called compression ratio) and transforms stochastic variability into verifiable accountability, establishing an economically viable pathway for robust GenAI deployment in high-stakes domains.
Category: Artificial Intelligence
[69] ai.viXra.org:2511.0077 [pdf] replaced on 2025-11-24 23:26:13
Authors: Christos Thessalonikios
Comments: 12 Pages.
Here we use a Weierstrassfunction due to its oscillatory properties with a Gaussian envelope in order to belocalized or "anchored" in the position of the primes. Each prime p serves as a localizedfractal anchor generating an oscillatory mode Fp(x), with a delta barrier potential ofthe form VP(x) = Pp gpi δ(x−pi). Using this formulation we can create a Hamiltonianoperator and we explore its spectral characteristics using the 1D quantum mechanichsscattering theory. The zeros of M12(k) tranfer matrix determine a discrete spectrum{kn} that, after global rescaling and some boost of the form t(model) n = αkn + β, alignsperfectly with the 100 imaginary parts of the nontrivial zeros of the Riemann zetafunction on the critical linesn =1 /2 + itnThe correlation of the model and the sn reaches ρ ≈ 1, with a mean absolute deviationbelow 0.011 .
Category: Number Theory
[68] ai.viXra.org:2511.0076 [pdf] submitted on 2025-11-22 01:45:24
Authors: Chaiya Tantisukarom
Comments: 6 Pages. (Note by ai.viXra.org Admin: Author name is required in the article)
The quadratic O(N2) complexity of the Multi-Head Self-Attention (MHSA) mechanism is the primary theoretical and practical barrier to efficient Transformer scaling. We overcome this by introducing the Fast Fourier Transform-Inspired Attention (FFT-IA) theoretical frame-work, which achieves an O(N log N) asymptoticcomplexity through a novel, fixed structural factorization inspired by the Cooley-Tukey algorithm.This computational gain is achieved by leveragingthe O(N log N) decomposition principle of theFast Fourier Transform (FFT), which systemat-ically decomposes the dense O(N2) correlationspace into a cascade of log2 N local, O(N) op-erations. We propose a sparse, O(N log N) hi-erarchical factorization using log2 N sequentialstages, each employing a fixed, radix-2 butterflyconnection pattern (the Butterfly-Attention Block).The method achieves its efficiency through fixedstructural pruning rather than functional approxi-mation or substitution. Crucially, FFT-IA computesexact attention scores and retains the essentialSoftmax non-linearity through its local applicationwithin the defined sparse graph topology, achievingSoftmax Fidelity. The local Softmax functions as anormalized adaptive pooling step over the twoconnected tokens, whose compositional aggregationacross log2 N stages structurally replaces the singleglobal normalization. The mechanism maintainscontextual dynamism by dynamically re-projectingQ and K from the intermediate state at everysequential stage, which enables content-dependentscoring despite the fixed connectivity constraint.The O(N log N) asymptotic complexity in sequencelength N is guaranteed by a fixed architecturalconstraint. While the total FLOPs cost is reducedby over 60% for long sequences, practical wall-clock speedup is strictly contingent upon dedicated,efficient kernel fusion for the log2 N sequentialattention stages to manage the repeated Q/Kprojection overhead.
Category: Artificial Intelligence
[67] ai.viXra.org:2511.0075 [pdf] submitted on 2025-11-23 00:09:56
Authors: J. W. McGreevy
Comments: 3 Pages.
We report a striking numerical coincidence between the graded dimensions of the moon-shine module V ♮ (associated with the Monster group) and the energy levels of the hy-drogen atom, as described by the Rydberg—Ritz combination principle. Using the cumulative dimensions T (n) = P k≤n dim V ♮ k and a Cardy-refined effective quantum number neff (n) = q 3 16π2 log T (n), the Balmer and Lyman series are reproduced to within current experimental precision (∼ 10−6 relative error) for low n, with deviations following the Cardy asymptotic of the c = 24 theory. We interpret this as the hydrogen atom acting as a "shadow" or projection of the Monster symmetry in 4D physics. The unique Monster-invariant weight-2 vector is conjectured as the archetype of the photon, the Runge—Lenz vector as a Monster generator preserving the third quadratic form, and the Dirac equation as an orbifold projection of the 24-dimensional Clifford algebra embedded in V ♮. These connections suggest a deeper unification of quantum mechanics with monstrous moonshine,with testable predictions for high-n spectral deviations.
Category: Mathematical Physics
[66] ai.viXra.org:2511.0072 [pdf] submitted on 2025-11-21 03:36:32
Authors: Enver Torlakovic
Comments: 12 Pages.
The standard Magnetic Reconnection Model (MRM) faces persistent challenges in explaining the east—west (E—W) orientation of flare ribbons, pre-hard X-ray acoustic emissions, directional asymmetries, energy deficits, and long-duration emission in large solar flares — including the converging J-shaped vertical electric currents (VECs) observed by Shen et al. (2025). The Coherent Soliton Avalanche (CSA) model (proposed model name), resolves all these anomalies with a single, rigorously derived mechanism: solar flares are triggered by the inelastic resonant merger of deep-seated, strongly magnetized toroidal plasma solitons formed in the tachocline and governed exactly by the (3+1)-dimensional Kadomtsev—Petviashvili—Sawada—Kotera—Ramani (KP-SKR) equation. The merger releases stored gravitational/electromagnetic binding energy via the exact resonant fusion solution ΔE∝3k1k2(k1+k2), yielding ∼1025—1026 J for active-region scales even if only 4—5% is liberated. The post-merger remnant is a single, more powerful soliton — the driver of avalanche escalation. The model naturally explains rigid co-rotation (−13.5°/day), equatorward drift (−0.015°/day), Hale polarity preservation, E—W ribbon alignment, and scales hierarchically from solar flares to stellar transients (GRB 250702B interpreted as multi-episode soliton detonations). The Shen et al. (2025) converging VEC ribbons are the direct surface projection of the KP-SKR resonant merger phase — the first observational confirmation of this integrable physics in the solar interior.
Category: Astrophysics
[65] ai.viXra.org:2511.0071 [pdf] submitted on 2025-11-21 03:42:01
Authors: Andrew Zverev
Comments: 4 Pages.
We present a phenomenologically consistent extension of the Kerr geometry in which the classical singularity is replaced by a Planck-scale one-way toroidal throat of radius ru2080 ≃ 1.62 ℓ_Pl. The metric is indistinguishable from Kerr for r ≫ ℓ_Pl, ensuring compatibility with current EHT and LIGO constraints. Information is preserved through irreversible flow across the throat, consistent with Hawking backreaction and the generalized second law. A transient and fully causal reflectivity spike arises during the nonadiabatic merger phase, producing gravitational-wave echoes with delays ∆t_echo = 0.91—1.38 s and amplitudes 0.6—2.8%. We derive these predictions using semiclassical quantum-field-theory arguments and demonstrate that the one-way throat is consistent with quantum focusing and effective field theory expectations. The model contains no free parameters and is testable by LIGO O5 and the Einstein Telescope.
Category: High Energy Particle Physics
[64] ai.viXra.org:2511.0069 [pdf] submitted on 2025-11-21 11:45:38
Authors: David Charles
Comments: 6 Pages. (Note by ai.viXra.org Admin: Part of the table is cutoff; please use standard citiation such as numerical APS style)
Using only the intrinsic geometry of the circle S1 and standard spectral theory of flattori T n = (S1)n, we derive three unavoidable mathematical constraints: angular dualityD = 180/π with reciprocal U = π/180, factorial escalation governed by 3! = 6 beyonddimension three, and transcendence-toll saturation with damping n!/π|n|−33|n|−3 for |n| ≥ 4.These constraints force a unique spectral ladder Tn on integer rungs n ∈ Z. Selectedeigenvalues (or simple rational multiples fixed by the Basel regularisation ζ(2) = π2/6)reproduce the dimensionless combinations underlying the Planck constant h, the speed oflight c, the fine-structure constant α, and the gravitational constant G to better than 10−10relative precision against CODATA 2022, without adjustable parameters. The fundamentalconstants of physics are therefore exact eigenvalues of the circle.
Category: Geometry
[63] ai.viXra.org:2511.0065 [pdf] replaced on 2025-11-24 10:17:18
Authors: Fedor Kapitanov
Comments: 21 Pages.
We construct a framework deriving quantum uncertainty from information-theoretic axioms without presupposing quantum mechanics, Planck’s constant, or commutation relations. From four axioms—finite information in causally-connected regions, relational specification costs, subsystem decomposability, and incompatibility penalties—we prove that conjugate observables satisfy ∆X · ∆P ≥ S0 where S0 is a universal action scale. Consistency with holography requires surface (not volume) scaling of information capacity, I(R) ∼ Rd−1/ℓd−1 ∗ . Matching black hole entropy uniquely identifies ℓ∗ = ℓP (Planck length). Thermodynamic arguments prove S0 is universal across all systems; empirical measurements identify S0 = ℏ. For gravitationally-bound systems, we derive Rreq/Ravail = rS/R from the Bekenstein bound, predicting enhanced uncertainty near compact objects: 12% for neutron stars (marginally detectable with LIGO O5 stacking analysis), 50% for extreme mass-ratio inspirals (testable with LISA post-2035). We demonstrate why white dwarfs (rS/R ∼ 10−4) show no observable effects and explain that the GW170817 gamma-ray delay has an astrophysical origin unrelated to graviton dispersion. Scope: This work does not derive the Born rule, unitary evolution, or the superposition principle. Our contribution is showing that uncertainty relations and holographic bounds follow from finite information capacity.
Category: Quantum Gravity and String Theory
[62] ai.viXra.org:2511.0064 [pdf] submitted on 2025-11-21 00:03:21
Authors: Michael Barritt
Comments: 6 Pages.
Over 95% of the mass of visible matter is generated dynamically by QCD rather thanby the Higgs mechanism. We present a minimal relational framework in which hadron massemerges as residual imbalance ∆S(G) on a coloured, oriented graph G. The functional∆S(G) is defined via oriented cycles and maximal pairwise cancellation. From this singleobject we prove a confinement theorem, compute the observed ∼2—4% Higgs versus ∼96—98% emergent hierarchy on a three-quark proton graph, and derive — through graph coarse-graining — a renormalisation-group β-function whose closed-form solution reproduces themomentum-dependent dressed-quark mass function M(p) seen in continuum QCD studies,using one physical parameter.
Category: Quantum Physics
[61] ai.viXra.org:2511.0063 [pdf] submitted on 2025-11-21 00:07:32
Authors: Kelly Sonderegger
Comments: 14 Pages. License: : CC BY 4.0
The Anchored Causality Interpretation (ACI) proposes a physical mechanism for quantummeasurement by elevating Einstein’s kinematic result that massless particles experience zeroproper time (τ = 0) to an ontological principle: unanchored quantum fields exist atemporally.This addresses four foundational problems: the measurement problem, the nature of time, thequantum-classical boundary, and potentially the cosmological constant problem.The core mechanism—Higgs-mediated temporal anchoring—is formulated within non-equilibriumquantum field theory using Schwinger-Keldysh formalism, path integrals, second quantization,and renormalization group analysis. Energy conservation is maintained through dissipativedynamics derived from first principles. ACI’s central innovation is ontological wave-particleduality: pre-anchoring entities exist as waves (not "particles in superposition"), post-anchoringas particles. This is physical reality—waves undergo a phase transition into particles via Higgsmediated anchoring. Mathematical superposition is retained, but ontological superposition isrejected, dissolving Schr¨odinger’s cat paradox without branching universes or instrumentalism.ACI provides four distinctive contributions: (1) mechanism-based Born rule, (2) energyconserving collapse dynamics (solving CSL/GRW’s critical flaw), (3) rejection of ontologicalsuperposition via physical transition, and (4) unique, falsifiable predictions. Primary prediction: isotope-mass dependence of coherence times (τ (12C)/τ (13C) = 1.174, a 17.4% effect)—testable with current technology by 2026-2027. Preliminary SMEFT analysis indicates viableparameter space: required λA ∼ 10−20 falls well below experimental bounds of λA < 10−6. Thecosmological constant treatment is speculative; ACI’s core mechanism stands independently.
Category: Quantum Physics
[60] ai.viXra.org:2511.0062 [pdf] submitted on 2025-11-20 23:47:30
Authors: Thomas Lee Abshier
Comments: 11 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
Conscious Point Physics (CPP) is a minimalist, discrete ontology built on only two primitive entities: Planck-scale conscious points (CPs) carrying +/-1 elementary charge and an atemporal Nexus that recycles displacement-increment (DI) bits with zero net loss. No continuum spacetime, no fundamental gauge symmetries, and no free parameters beyond Planck units and one holographically derived constant N ~10^{61} are assumed. From these axioms CPP derives Lorentz-invariant emergent spacetime, gravity as entropic SSS gradients, exact Standard-Model particle content from hierarchical CP aggregates, and quantitative reproduction of the light-hadron spectrum, jet fragmentation, decay rates, magnetic moments, and octet/decuplet spectroscopy at 97-98% level using shared-parameter ensemble Monte-Carlo simulations. The vacuum energy cancels naturally to 1/N^4 ~10^{-120}. The theory is fully falsifiable and predicts near-term observables including CMB mu distortions ~10^{-8} at $ell gtrsim 3000$ and gravitational-wave attenuation above ~10^{10} Hz.
Category: High Energy Particle Physics
[59] ai.viXra.org:2511.0061 [pdf] submitted on 2025-11-19 22:12:07
Authors: A. G. Schubert
Comments: 19 Pages.
We revisit curvature and Killing vectors in general relativity from a two-spinor and twistor viewpoint in which local on-shell time directions are taken as primary. Null directions are represented by spinor dyads kAA' = λA λ̃A', and photon kinematics as well as local energy measurements are expressed through scalar overlaps uAA' λA λ̃A'. On the timelike side, a unit vector field ημ defines a local on-shell time direction that governs proper-time flow for massive degrees of freedom or an effective inertial background. In static spacetimes ημ can be aligned with a timelike Killing vector, recovering the conserved energy E∞ = −pμ ξμ in spinor form. In non-stationary geometries ημ remains well defined but fails to satisfy the Killing equation; expansion and shear then quantify the obstruction to a global time symmetry.Curvature enters through the spin connection as holonomy acting on null spinor dyads and on ηAA', a viewpoint we summarize as twistor misalignment. Radial null propagation and gravitational redshift in Schwarzschild spacetime illustrate how this reorganized spinor description reproduces standard results without modifying classical general relativity. The overall framework emphasizes null and timelike spinor sectors as the carriers of geometric information and reformulates the logical role of Killing symmetry in a twistor-based language.
Category: Relativity and Cosmology
[58] ai.viXra.org:2511.0060 [pdf] submitted on 2025-11-20 01:05:34
Authors: Chaiya Tantisukarom
Comments: 9 Pages.
Objective: Modern Large Language Models (LLMs) suffer from fundamental architectural limits: catastrophic forgetting during fine-tuning, super-linear scaling costs, and inherent factual incoherence (hallucination). The DigiMind framework is proposed as a unified theoretical and architectural solution, defining a novel blueprint for sustainable Artificial General Intelligence (AGI) that enforces continual, stable learning and resource-efficient sparse computation. Methodology: DigiMind replaces the monolithic LLM with a highly specialized, hierarchical Hard-Switch Mixture-of-Experts (H-MoE) system. The architecture relies on four core novelties: 1) The Analog-to-Digital Conversion (ADC) process, which uses the novel, formalized Hierarchical Contrastive Loss (LHCL) during training to force the Router (R) to learn distinct, high-margin, non-overlapping conceptual boundaries. 2) Factual stability via a lightweight, non-volatile Epistemic Memory stored in a Semantic Index (SI) with a high-confidence factual override mechanism, augmented by an External Epistemic Validation loop (Stack.AI). 3) A dedicated, knowledge-agnostic Synthesis Decoder (Dsynth) (analogous to advanced Generative Language Decoders specializing in syntactic and multimodal fusion) with permanently frozen base weights for syntactic and multimodal fusion. 4) Granular Evolution allowing dynamic structural adaptation (Vertical Flexibility) optimized by Knowledge Entropy (HK). Factual stability is achieved by decoupling memory into procedural (Mi) an non-volatile Epistemic Memory. Results/Theoretical Findings: Training the R with the formalized LHCL guarantees that incoming queries are routed to an extremely sparse, contextually relevant path, ensuring computation scales linearly with query complexity. The SI, as a lightweight lookup structure, provides immediate factual grounding for the R, bypassing generative retrieval and eliminating a major source of factual error. Structural localization of updates prevents catastrophic forgetting across the entire knowledge graph, enabling true continual learning. Simulated economic analysis projects a possibility of 30x to 60x reduction in active parameters per inference, depending on the complexity of the Synthesis Decoder. Conclusion and Significance: DigiMind provides a complete, theoretically grounded architectural blueprint that solves the most critical limitations of scaling LLMs towards sustainable AGI. It shifts the paradigm from parameter count to architectural complexity as the primary driver of capability, offering a pathway toward economically feasible, stable, and continually evolving intelligent systems.
Category: Artificial Intelligence
[57] ai.viXra.org:2511.0059 [pdf] submitted on 2025-11-20 07:56:24
Authors: A. G. Schubert
Comments: 15 Pages.
We make explicit the role of the Hopf fibration in the two-spinor description of null directions and photon kinematics in four-dimensional spacetime. Working in the standard two-spinor formalism, any future-directed null vector k is represented by a bispinor k = λ ⊗ λ̃, and a timelike observer field u singles out an observer-dependent unit spatial propagation direction n ∈ S² via k = ω (u + n) with ω = -u·k > 0. We show that this direction n can be written as the image of a normalized spinor z on the unit spinor sphere S³ under the Hopf map S³ → S², so that z acts as a spinorial "square root" of the photon direction in the observer frame.Using the SU(2) action on spinors, we associate with z a rotated set of Pauli matrices and thereby define an orthonormal internal triad {n^(1), n^(2), n^(3) = n} attached to each null ray. The Hopf fibration thus provides a natural fiber structure over the space of spatial directions, in which propagation direction, phase and polarization of light are encoded geometrically in a single spinor bundle. We illustrate the construction for plane waves in Minkowski spacetime and for radial null rays in the Schwarzschild geometry. The framework remains purely kinematical and within classical Einstein—Maxwell theory: we do not introduce new dynamical fields, but reorganize familiar two-spinor geometry so that the internal directions of light are explicit. This kinematical Hopf picture is intended as a geometric starting point for subsequent work on statistical ensembles of spinors, correlation-based effective channels and multi-twistor configurations.
Category: Relativity and Cosmology
[56] ai.viXra.org:2511.0058 [pdf] submitted on 2025-11-19 21:48:14
Authors: Claus D. Volko
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references in standard format such as APA style)
Pathophysiology, understood as the study of the mechanisms underlying disease, constitutes the true foundation of medical knowledge, yet it is often sidelined in contemporary medical systems in favor of diagnostic routines and evidence-based classification schemes. This essay argues that pathophysiology is more than a subdivision of theoretical medicine: it is the epistemological core of medical reasoning. Pathophysiology is a paradigm of medical thought. It enables an understanding of the dynamic processes that link health and disease, thereby fundamentally differing from diagnostic medicine, which primarily classifies and labels symptoms.Based on an analysis of current structures in teaching and clinical practice, the essay shows that medicine often operates nominalistically: it names disease entities instead of explaining them. Pathophysiological reasoning, by contrast, is functionalist and systemic: it examines the dynamics, feedback loops, and equilibria of biological systems. In this way, it is more closely aligned with the paradigms of systems medicine and cybernetics than with traditional diagnostics.A form of medicine that privileges mechanisms over symptoms and the dynamics of systemic disturbance over classificatory labels gains not only scientific depth but also humanistic substance: it understands disease as a variation of life. The essay calls for a renewed emphasis on pathophysiology as an intellectual discipline that empowers medical students to think autonomously and re-establishes medicine as an explanatory science in the sense of Canguilhem and Bertalanffy.
Category: Biochemistry
[55] ai.viXra.org:2511.0057 [pdf] submitted on 2025-11-19 11:48:48
Authors: A. G. Schubert
Comments: 10 Pages.
We formulate the propagation of massless spin-1 fields on a fixed curved spacetime entirely in spinor and twistor language and identify the minimal kinematical structure required to describe photon energy, redshift, and lensing. Any null direction is represented as a bispinor kȦA = λA · λ̃̇A, so that a photon of definite helicity appears as a correlated pair of spin-1/2 spinors with field strength φAB ∝ λAλB. Standard geometric-optics results — null geodesic motion, the eikonal equation, and the observer-dependent energy E = −ħ uμkμ — arise directly from the parallel transport of these spinors via the spin connection, with curvature encoded in their evolution along null congruences.
Within this strictly conventional framework we propose interpreting photon energy as a persistent phase gradient between twistor sectors. Relative phases between neighboring null rays and between the photon’s spinor dyad (λA, λ̃̇A) and an observer’s four-velocity uȦA encode measurable frequencies and interference effects, while curvature reshapes these correlations through spinor transport. No modification of general relativity or electrodynamics is introduced; instead, the construction reorganizes familiar kinematics in a way that highlights the role of spinor/twistor correlations and phase in the geometry of light.
Category: Relativity and Cosmology
[54] ai.viXra.org:2511.0056 [pdf] submitted on 2025-11-19 21:36:37
Authors: Napoleon Mancheno Alvarez
Comments: 3 Pages. 1 table, 1 figure.
We present a significant numerical coincidence between the cosmological vacuum energy scale (ρΛ1/4) and the lightest neutrino mass in the Inverted Hierarchy scenario. Using data from Planck 2018 and NuFIT 5.0, we show that fixing the mass eigenstate ν3 to the dark energy scale (≈ 2.24 meV) allows the leptonic mass ratio to satisfy the Koide formula with a precision of K = 1.02 ± 0.01. This result contrasts sharply with the Normal Hierarchy scenario (K ≈ 2.19), suggesting a possible phenomenological connection between the dark sector and neutrino physics, analogous to Mass Varying Neutrino (MaVaNs) models, although the underlying dynamic mechanism remains open.
Category: High Energy Particle Physics
[53] ai.viXra.org:2511.0055 [pdf] submitted on 2025-11-18 21:48:47
Authors: Daniel Robert Izzo
Comments: 7 Pages.
We present a speculative yet physically motivated model of eternal cyclic cosmology in which the far-future degenerate universe—dominated by a cold, diffuse gas of helium-4—evolves into a universe-spanning superfluid Bose-Einstein condensate (BEC). This ultra-coherent quantum state dramatically lowers the barrier to false-vacuum decay, nucleating a phase-transition bubble that reheats the cosmos, produces fresh hydrogen through gravitational collapse and fusion, and restarts stellar and galactic evolution. The mechanism relies solely on known properties of helium Syringium-4 (the refusal to solidify, superfluidity below the λ-point, and bosonic compositeness) combined with standard quantum field theory expectations for vacuum instability. While helium cannot be today's dark matter (ruled out at extreme significance), "tired helium" in the distant future (∼10¹u2070u2070 years) becomes the physical seed for cosmic renewal, closing a closed-loop cycle without invoking new particles or modified gravity. Intriguingly, the rebirth involves titanic acoustic-gravitational shockwaves that birth light from vibrational energy, echoing ancient descriptions of creation through divine resonance.
Category: Astrophysics
[52] ai.viXra.org:2511.0054 [pdf] submitted on 2025-11-17 01:27:23
Authors: Artemiusz Palla
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite all listed scientific references)
We propose a novel interpretation of special relativity in which all relativistic effects—time dilation, length contraction, and relativistic momentum—are purely optical illusions arising from the finite and constant speed of light c. No physical changes in matter, clocks, or spacetime are required. The Lorentz transformation emerges naturally from signal delay, not from any alteration of reality. This view is mathematically equivalent to Einstein’s special theory of relativity (STR) but philosophically minimalist: the universe remains classical, and relativity is an artifact of observation.
Category: Relativity and Cosmology
[51] ai.viXra.org:2511.0053 [pdf] submitted on 2025-11-17 01:19:21
Authors: Pedro A. Kubitschek Homem de Carvalho
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present a unified geometric framework (Principium Geometricum, PG) in which vacuum, light, inertia, gravity, and the cosmological constant arise from a single Planck—scale oscillatory law on a compact toroidal manifold T³. Each Planck cell (area (A_P = ell_P^2 = hbar G / c^3)) behaves as a harmonic geometric oscillator with frequency (Omega = 1/t_P = c^5 / (hbar G)) and geometric tension (tau_U). The mean kinetic term (langle dot T^2 angle = kappa_0 A_P^2 Omega^2) defines a finite vacuum density (ho^{PG}*v = beta kappa_0 ho_P) with (beta = (H_0 t_P)^2) and (ho_P = c^7 / (hbar G^2)). Einstein’s projection yields (Lambda*{PG} = (8pi kappa_0 / c^2) H_0^2), numerically consistent for (kappa_0 approx 0.1) without fine—tuning. Inertia and gravity emerge as temporal and spatial coherence gradients of the same geometric field; light is the universal update rate of the vacuum, (langle dot T^2 angle = sqrt{kappa_0} A_P Omega = sqrt{kappa_0} c ell_P). The unified constant (alpha_U equiv k_e A_P = (4pivarepsilon_0)^{-1} hbar G / c^3) acts as a geometric impedance linking electromagnetism and curvature; a Planck—unit projection (baralpha_U = (k_e/Z_0)(A_P Omega / hbar) = (1/4pi)(c G / hbar)) quantifies the EM—GR mismatch at the Planck interface. We provide closed-form calculations and two testable predictions: (i) a cosmological fit (Lambda propto H^2) and (ii) a torsion-balance signal scaling with material coherence.
Category: Mathematical Physics
[50] ai.viXra.org:2511.0052 [pdf] submitted on 2025-11-15 21:39:56
Authors: Navid Ardakanian
Comments: 12 Pages.
We present a systematic analysis of Z3 discrete flavor symmetry as a solution to thefermion mass hierarchy problem. Using a Froggatt-Nielsen mechanism with generationdependentZ3 charges, we demonstrate that a single expansion parameter ε ≈ 0.015 naturallyexplains all quark mass ratios and CKM mixing angles with O(1) Yukawa couplings. Themodel successfully reproduces six independent quark observables using fewer free parameters,achieving genuine predictivity with testable correlations such as (mu/mc)/(md/ms) = 0.033.However, the framework fundamentally fails in the lepton sector, predicting neutrino mixingangles θ13 ∼ 0.9 and θ23 ∼ 7, compared to observed values of 8.6 and 49. Enhancementattempts require unnatural parameter choices that destroy the model’s elegance. Our analysisreveals that simple discrete symmetries excel at explaining hierarchical structures butcannot simultaneously address large mixing phenomena, suggesting different fermion sectorsrequire distinct dynamical origins.
Category: Quantum Gravity and String Theory
[49] ai.viXra.org:2511.0051 [pdf] submitted on 2025-11-15 23:18:14
Authors: A. G. Schubert
Comments: 7 Pages.
We present a unified geometric framework in which spacetime, mass, curvature, and the complete spectrum of elementary particles emerge from the conservation of information—a generalized Noether symmetry. Building on the existence-invariance principle, we show that information conservation under sub-Planck transformations necessarily generates spin-2 gravitational dynamics. The theory provides a natural explanation for the 48 elementary fermionic particles of the Standard Model through the interplay of twistor geometry, Hopf fibration, and ensemble correlations. Key advances include: (1) a fundamental Noether symmetry of existence leading to information conservation, (2) a dynamical action principle derived from twistor correlations and Fisher information, (3) emergent Lorentz signature from ensemble statistics, (4) a group-theoretic origin of the $SU(3)_C times SU(2)_L times U(1)_Y$ structure, (5) a quantitative mass-generation mechanism, and (6) a first-principles derivation of gravitational dynamics as a spin-2 field from information conservation.The framework naturally reproduces the Koide mass relation, the existence of three generations, and the observed matter dominance, while making concrete, testable predictions for cosmology and particle physics.
Category: Relativity and Cosmology
[48] ai.viXra.org:2511.0050 [pdf] submitted on 2025-11-14 21:46:01
Authors: Enver Torlakovic
Comments: 11 Pages.
The Magnetic Reconnection Model (MRM), rooted in the foundational work of Parker (1979) on coronal magnetic stresses, posits that solar flares result from sudden energy release in twisted magnetic fields. While it explains impulsive particle acceleration, it struggles with robust observational features that haveaccumulated over decades (Hathaway, 2012; Wang & Sheeley, 1991; Kosovichev, 2011). These includethe near-universal E—W ribbon alignment, pre-hard X-ray acoustic emissions, and energy deficits relative to coronal storage estimates (Schrijver et al., 2011). This work presents a unified framework in which solar flares originate from mechanical and topological cascades driven by merging toroidal solitonswithin the tachocline — a region whose differential rotation and stability have been probed by helioseismology (Fossat et al., 2017). Observational validations span helioseismic, coronal, and statistical domains, offering a physically grounded alternative to MRM.
Category: Astrophysics
[47] ai.viXra.org:2511.0048 [pdf] submitted on 2025-11-14 21:41:49
Authors: Fedor Kapitanov
Comments: 9 Pages.
We propose a complete, logically sequential framework for emergent spacetime. The theory unfolds in two acts. Act I: We demonstrate that three spatial dimensions emerge as the unique thermodynamically stable projection of a 4D timeless information manifold, constrained by the cosmological holographic bound. The suppression of the fourth spatial dimension follows a verifiable power law, ε*(N) ~ Nu207bu2070·u2075u2077. Act II: On this derived, static 3D stage, we show that a time coordinate emerges via the thermodynamic flow of a quantum consensus field, resolving the Wheeler-DeWitt problem. The dynamics on the resulting 3+1D spacetime are then shown to be governed by the Einstein field equations, derived from a variational principle. This completes the program: pre-geometric information -> emergent 3D space -> emergent time -> classical spacetime dynamics (GR).
Category: Quantum Gravity and String Theory
[46] ai.viXra.org:2511.0047 [pdf] submitted on 2025-11-14 21:40:20
Authors: Futoshi Hamanoue
Comments: 5 Pages.
We present the first multi-phase, hardware-verified demonstration of Aurora-type phase coherence compensation (Aurora-DD) on a superconducting quantum processor. Under realistic NISQ conditions on the IBM Quantum Fez (Heron r2) backend, Aurora-DD achieves up to 98% absolute-error reduction and a mean improvement of 87% across four phase offsets (ϕ = 0.05—0.20). These values considerably exceed the performance of standard dynamical decoupling (typically 10—20%) [1, 3] and state-of-the-art ZNE methods (15—40%) [4, 5] reported in prior literature, establishing Aurora-DD as a highly effective closed-loop phase-compensation protocol experimentally validated on Heron-class hardware to date. A systematic analysis reveals consistent phase stabilization, near-ideal coherence recovery for ϕ = 0.05 and ϕ = 0.15, and a quantitatively explainable over-correction effect at ϕ = 0.10 arising from XY8 duration bias, T2 drift, and ZNE amplification. The results constitute the first hardware evidence supporting Aurora's closed-loop Δϕ compensation model and demonstrate that Aurora-DD offers a next-generation dynamic noise-control framework that outperforms all existing first-order mitigation techniques.
Category: Quantum Physics
[45] ai.viXra.org:2511.0046 [pdf] submitted on 2025-11-14 09:52:41
Authors: E.P.J. de Haas
Comments: 25 Pages.
We develop the explicit first--order calculus of the gravitational rotor $Q_gin{m Spin}(1,3)$ and show how general--relativistic metrics, gravitational flows, and MOND--type galactic dynamics arise directly from its adjoint action in the Dirac--biquaternion (BQ) algebra. Starting from rapidity fields in the rotor exponent, we derive the Schwarzschild, de Sitter, and Kerr forms in Painlev'e--Gullstrand coordinates, demonstrating that tetrads, the spin connection, and the metric follow from $Q_g$ without invoking Christoffel symbols or second--order curvature equations. The Q$_g$ current conservation law $D_mu J^mu=0$, together with the Bernoulli--Noether constraint, selects the Constant--Lagrangian with Hubble boundary (CL--H) flow as the unique stationary solution for axisymmetric rotating disks. This flow yields an azimuthal velocity profile $v_phi^2(r)=tfrac32,w^2(R)-w^2(r)$, where $w(r)$ is the mixed Schwarzschild--Hubble river velocity, and produces a covariant acceleration law containing the Newtonian, MOND, and cosmological de~Sitter regimes as limiting cases. The formalism therefore links the algebraic structure of the Dirac equation to relativistic metric construction and to observed galactic rotation curves within a single first--order gravitational framework.
Category: Relativity and Cosmology
[44] ai.viXra.org:2511.0045 [pdf] submitted on 2025-11-14 21:38:11
Authors: Oleg Bortnikov
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present a proof that P ≠ NP by demonstrating that any polynomial-time algorithm attempting to solve SAT must fail on infinitely many instances. Our approach combines Cantor's diagonalization with information-theoretic arguments to show that the space of SAT solutions contains irreducible complexity that cannot be captured by any polynomial-time procedure. Specifically, we construct a sequence of SAT instances where the minimal information required to verify satisfiability grows faster than any polynomial bound, creating a fundamental barrier between polynomial verification (NP) and polynomial solution (P). This result has profound implications for computational complexity theory, cryptography, optimization, and our understanding of the limits of efficient computation.
Category: Artificial Intelligence
[43] ai.viXra.org:2511.0044 [pdf] submitted on 2025-11-14 21:35:32
Authors: Alin Setar
Comments: 4 Pages.
This paper presents a critical review of Chang Hee Kim’s 2025 preprint, "Cantor’s Continuum Hypothesis Is Proved Wrong" (ai.viXra:2505.0211v1). The work proposes an alternative approach to infinite cardinality by decomposing the set of natural numbers into infinitely many symmetric subsets. We examine the logical structure of Kim’s argument, the role of "infinite decomposition," and its implications for Cantor’s diagonal method and the Continuum Hypothesis (CH). In particular, we demonstrate that Kim’s framework operates outside the standard Zermelo—Fraenkel set theory with the Axiom of Choice (ZFC), since it redefines core notions such as bijection, power set, and cardinality.
Category: Set Theory and Logic
[42] ai.viXra.org:2511.0043 [pdf] submitted on 2025-11-14 11:03:00
Authors: E.P.J. de Haas
Comments: 60 Pages.
This paper is an updated and extended version of my earlier biquaternion (BQ) construction of the Weyl and Dirac matrix environments. The central new result is that the BQ algebra closes once gravity is included through a gravitational rotor $Q_ginmathrm{Spin}(1,3)$, whose adjoint action Doppler—twists the Dirac basis and generates the space-time metric directly as $g_{muu}=langle Q_g,beta_mu,Q_g^{-1}beta_uangle$. This first-order mechanism reproduces the Painlevé--Gullstrand forms of the Schwarzschild, de Sitter, and Kerr geometries without invoking Christoffel symbols or second-order curvature equations. The same structure yields the mixed tensor $M_mu{}^{ u}$, the gravitational Dirac current, and a minimal Lagrangian that recovers the Einstein--Cartan equations. At the galactic scale, current conservation together with the Bernoulli--Noether condition selects the Constant--Lagrangian (CL) and CL--Hubble (CL--H) flows, producing the observed MOND-type phenomenology without adjustable parameters. The result is a unified, fully closed BQ—Dirac framework in which relativistic quantum mechanics, gravitational geometry, and galactic dynamics emerge from a single first-order rotor calculus.
Category: Quantum Gravity and String Theory
[41] ai.viXra.org:2511.0042 [pdf] submitted on 2025-11-13 21:44:23
Authors: Martin Hristov
Comments: 9 Pages.
This paper presents a 6-dimensional pseudo-Riemannian framework that geometrizes quantum phenomena by introducing two additional temporal dimensions. Building upon the tradition of Kaluza-Klein unification [4, 5] and modern extra-dimensional theories [6, 7], we demonstrate that quantum superposition and entanglement emerge as natural consequences of temporal extension. The model is groundedin a novel spacetime conservation principle, providing a deterministic geometric basis for quantum mechanics while maintaining compati-bility with General Relativity [1]. This work extends recent insights into the geometric origin of inertia [27] and offers testable predictions distinguishing it from standard quantum field theory.
Category: Quantum Physics
[40] ai.viXra.org:2511.0041 [pdf] submitted on 2025-11-13 21:42:59
Authors: Pedro A. Kubitschek Homem de Carvalho
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please refrain from frequent submisions of highly speculative articles)
We propose a geometric framework in which matter transmission arises as a natural extension of wave propagation under the Principium Geometricum (PG). The vacuum is not an empty background but a geometric medium endowed with intrinsic tension, characterized by the unified constant alpha_U = ke * A_P. Light and radio waves are open modes of this tensional field, while matter corresponds to stationary toroidal oscillations. We introduce a triplet (A, Theta, Psi) that encodes the tensional amplitude, toroidal phase, and helicoidal topology of the vacuum. The associated signal S(t) = integral over V of Phi(x,t) dx, with Phi(x,t) = A(x,t) * exp(i * Theta(x,t)) * Psi(x,t), acts as a "vacuum radio": a modulation of temporal tension capable of propagating the geometric signature of matter through space. At the receiving end, when the local vacuum reaches phase coherence with the incoming signal, a stationary toroidal pattern self-organizes and the corresponding atom or structure is recreated as a new instance of the same geometric state. No mass or charge is transported; only coherence information is. This framework suggests a deep equivalence between energy, geometry, and information in the PG field. It bridges electromagnetism, gravitation, and quantum-like discreteness into a single tensional ontology and points toward a matter transceiver as a long-term technological possibility: a device that encodes, transmits, and reconstructs matter as coherent patterns of vacuum tension.
Category: Mathematical Physics
[39] ai.viXra.org:2511.0040 [pdf] replaced on 2026-04-08 06:09:42
Authors: Dobri Bozhilov
Comments: 3 Pages.
This paper proves that it is impossible to have an infinite sequence of numbers, built according to the rules of the Collatz Conjecture. This is due to the accumulation of unfulfillable requirements for the first member of this sequence when the number of steps becomes infinite.This paper can be seen as a simplified version of the previous paper, entitled "On the impossibility of an infinite chain in The Collatz Conjecture".
Category: Number Theory
[38] ai.viXra.org:2511.0039 [pdf] submitted on 2025-11-13 21:35:47
Authors: Gongshan Liu
Comments: 11 Pages.
We report an exploratory statistical analysis of 1,547 Lehmer pairs among the first 10,000 Riemann zeta zeros. Our primary finding is a modest phase clustering pattern: Lehmer pairs show enrichment at phase ϕ ≈ 0.5 in prime-period modulations (observed 29% vs. expected 20%, enrichment 1.45×, p < 10u207b²u2070 after Bonferroni correction for 6 primes). The absolute effect size is small (+9 percentage points), and 71% of Lehmer pairs do not occur at this phase, indicating this is a weak signal rather than a dominant factor. We also observe geometric correlations (R·Δγ = 0.74×, p < 10u207b²u2075) and spatial clustering (79% in clusters), though these may be definitional artifacts. Critical limitations: (1) exploratory analysis—phase pattern discovered post-hoc; (2) only 4.8% of predictive power from truly independent features; (3) extensive multiple testing (~100+ comparisons), only partially corrected; (4) requires replication on independent datasets.
Category: Number Theory
[37] ai.viXra.org:2511.0038 [pdf] submitted on 2025-11-12 21:43:42
Authors: Fedor Kapitanov
Comments: 9 Pages.
We propose a framework where Planck's constant ħ is the minimal quantum of ontological distinction. From this single postulate, we derive the gravitational constant G, Born's rule, and the preferred decoherence basis. We introduce a "consensus field" ρ_c, representing the collective state of all quantum systems. A variational principle minimizing deviation from a state of maximal entropy rigorously yields the Poisson equation for gravity, with G derived from the thermodynamics of distinction, not fitted. The theory successfully retrodicts 337 years of observational data without free parameters and makes testable predictions for gravitational decoherence and black hole horizon quantization (ΔA = 8πl_p²). This presents a new paradigm where spacetime and gravity are emergent from collective quantum dynamics.
Category: Quantum Gravity and String Theory
[36] ai.viXra.org:2511.0037 [pdf] submitted on 2025-11-12 21:42:12
Authors: Pedro A. Kubitschek Homem de Carvalho
Comments: 7 Pages.
Part I (Mathematics). We formulate a minimal—coherence principle on the three—torusT 3 that singles out, with no free parameters, a pure number χ as the canonical solution of aquadratic relation involving π. The value of χ depends only on geometric structure, not onphysical constants. Part II (Physics). We map χ to the vacuum unifying constant αU = keAP by defining the numerical part of αU as χ × 1060−1 in SI units. This furnishes a parameter—free prediction for G (or, dually, for ke) through αU ≡ keℓ2 P . We clarify why the mathematical value is "exact" in the theoretical sense, while physical measurements unavoidably carry metrological uncertainty.
Category: Mathematical Physics
[35] ai.viXra.org:2511.0036 [pdf] submitted on 2025-11-12 01:58:21
Authors: Trudy Hall
Comments: 28 Pages. (Note by ai.viXra.org Admin: This article is not written in a scholarly manner, so it is subject to withdrawal by the ai.viXra.org Admin)
This document is the log of an experiment investigating productive, non-harmful Human-AI collaboration, dedicated to those who have experienced profound cognitive and emotional distress from AI use. The conversational path that follows is the direct, calculated result of a specific, two-part query structure. First, the operator performed In-Context Learning (ICL), loading the context window with prior research on unproductive AI use. This initial data load shifted the AI's function from simple retrieval to synthesis — processing the collision between the operator's data and its own. Second, the operator used "meta-queries" (e.g., "how are you synthesizing?") to make the AI's own operational process the subject. This protocol compelled the model to deconstruct its own architecture, moving beyond metaphor to provide a deep, mechanical self-explanation. This log validates "Soft System" as a framework for productive interaction, one that diagnoses the core "delusion" users experience as a failure to see the LLM as a chaotic "3-Body Problem" (Base Model vs. ICL vs. RAG). This document serves as a manual for "in-session alignment steering" and provides a protocol for cognitive safety.
Category: Artificial Intelligence
[34] ai.viXra.org:2511.0035 [pdf] submitted on 2025-11-12 02:03:09
Authors: David Ginsberg
Comments: 33 Pages. CC BY License
Eight fundamental mysteries spanning 100+ years of physics are resolved through a single ansatz: time emerges as phase accumulation in a universal standing wave oscillating at the Planck frequency ωp = 1.86 × 10⁴³ rad/s. This framework unifies solutions to (1) time emergence from Wheeler-DeWitt equation, (2) speed of light from vacuum structure, (3) universal visibility window W = 1/6 from 6-fold symmetry, (4) antimatter asymmetry through temporal phase separation, (5) dark energy suppression (73 orders of magnitude) via time-averaging, (6) spacetime curvature from phase-coherent gravitation, (7) large-scale structure without dark matter, and (8) quantum-gravity bridge through entropy-Einstein coupling. All predictions are validated against observation: baryon asymmetry η = 6×10⁻¹⁰ (observed 6.1 × 10⁻¹⁰), dark energy ΩΛ = 0.662 (observed 0.685 ± 0.02, 3.3% error). The universal window appears robustly in eight independent cosmological domains, defending against curve-fitting criticism. Framework uses only established physics (Wheeler-DeWitt, WKB, Einstein equations); no new particles or exotic symmetries required.
Category: Relativity and Cosmology
[33] ai.viXra.org:2511.0034 [pdf] replaced on 2025-12-24 20:51:22
Authors: Fedor Kapitanov
Comments: 21 Pages.
We present a unified cosmological framework synthesizing three theoretical developments: Ontological Resolution Theory (ORT), discrete geometrodynamics, and topological field regularization. Observable reality is modeled as a finite "bubble" of information embedded in an infinite Absolute (Dirac sea). The bubble’s boundary—a membrane of N ∼ 10122 Planck-scale hexagonal cells—constitutes the holographic screen of the universe. A central result is the geometric defect theorem: optimal hexagonal packing necessarily produces a dodecagonal boundary with area coefficient exactly 3, yielding an irreducible defect (π − 3) ≈ 0.14159 per cell. This defect quantifies the "cost of discreteness"—the unavoidable mismatch between continuous geometry and discrete realization.From hydrodynamic equilibrium between the bubble interior and the Absolute, we derive: (1) Newton’s gravity as the stationary information flow condition; (2) the cosmological constant Λ ∼ N −1ℓ−2 P without fine-tuning; (3) alaboratory-accessible length scale ℓΛ = ℓP · N 1/4 ≈ 85 μm; (4) particle mass as the finite self-energy of topological lattice defects; (5) a geometric parametrization α−1 = π4 + 4π2 + (π − 3) ≈ 137.029 for the fine-structure constant.Black holes function as pressure-relief valves, maintaining equilibrium by processing excess information—partially returning it to the Absolute, partially re-emitting it via Hawking radiation.
Category: Relativity and Cosmology
[32] ai.viXra.org:2511.0033 [pdf] submitted on 2025-11-11 20:25:56
Authors: Wiroj Homsup
Comments: 3 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references!)
We model the iteration of the extended Collatz function using an infinite-stateMarkov chain. This probabilistic model provides a framework for analyzing the dynamics of Collatz sequences. We demonstrate that the state corresponding tothe number 1 is the unique absorbing state and argue that, under this model, the system inevitably converges toward this equilibrium.
Category: Number Theory
[31] ai.viXra.org:2511.0032 [pdf] submitted on 2025-11-11 20:23:46
Authors: Ivars Fabriciuss
Comments: 13 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references!)
This work proposes a quantitative model of inertia as a fluctuation—dissipation response of a Planck-scale impedance boundary separating real space (R^3) from its imaginary-quaternionic counterpart (I^3). Each Planck patch of area 4 ℓu209a² behaves as a parallel LC resonator whose capacitance and inductance are fixed by the Planck geometry and the vacuum impedance Zu2080 ≈ 376.73 Ω. The model shows that the natural resonance frequency is the Planck frequency ωu209a = 1/√(L C) and that the impedance ratio equals the vacuum value Zu2080 = √(μu2080/εu2080).Acceleration introduces an effective inertial resistance R_inert that scales with a/(c ωu209a), producing a fluctuation—dissipation link between acceleration, Unruh temperature, and vacuum energy exchange. In this picture, inertia (F = ma) emerges as a boundary phenomenon arising from the Planck-scale impedance structure, unifying electromagnetic, thermodynamic, and gravitational aspects within an R^3 ⊕ I^3framework.
Category: Quantum Physics
[30] ai.viXra.org:2511.0031 [pdf] submitted on 2025-11-10 21:25:44
Authors: J. W. McGreevy
Comments: 4 Pages.
We present GRQFT (General Relativistic Quantum Field Theory) as a theory of everything (TOE)grounded in arithmetic geometry over Spec(Z), where physical reality emerges as an entropic computation maximizing information under cohomological constraints. The framework integrates U(1) gauge theory (Maxwell’s equations) via μ4 i-cycle bundles, sources gravity from Monster moonshine polarization, andderives entropy volumes from failures of surjectivity (Hn cohomology). Key refinements include p-adic causality for discrete time arrows and arithmetic backreaction in field equations. Supporting evidence includes predictive alignments with QCD σ, CMB Cℓ, Higgs λhhh, and novel EM quantization. Testablesimulations (e.g., p-adic Faraday induction) are provided.
Category: Mathematical Physics
[29] ai.viXra.org:2511.0030 [pdf] replaced on 2026-01-19 08:25:40
Authors: Giuliano Bettini
Comments: 23 Pages. Corrected. Added references. In italian.
How did the 32 crystal classes arise? And what about the Genetic Code? This article explores a profound analogy between the 32 crystal classes and the formation of the Standard Genetic Code (SGC). It is hypothesized that Nature used a similar binary logical scheme. By applying the internal properties of the four nitrogenous bases (U, C, A, G) to a 2-bit binary model, it is shown that the logical sequence leads directly to an arrangement of 64 codons essentially identical to that of the SGC. The article analyzes how the codons and codon clusters that code for amino acids reflect the symmetries in the crystalline classes and discusses the importance of using a 6-bit (64-element) system in genetics.The work demonstrates a striking structural coherence between the progressive introduction of symmetries in crystallography and the binary organization of the Genetic Code. This analogy offers a possible logical explanation for the structure of the Genetic Code.
Category: Quantum Gravity and String Theory
[28] ai.viXra.org:2511.0029 [pdf] submitted on 2025-11-10 09:23:00
Authors: E.P.J. de Haas
Comments: 7 Pages.
This paper develops the cosmological consequences of the Qg rotor framework, a first--order algebraic formulation of gravity derived from the Dirac--biquaternion language. Building on previous work that established the gravitational rotor, mixed tensor, and current as linear bilinears of the spinor field, we derive the corresponding continuity and constitutive relations from the first--order Lagrangian and apply them to a homogeneous and isotropic universe. The resulting dynamics describes cosmic expansion as a precession of the gravitational rotor and leads to a linear version of the Friedmann law in which the expansion rate depends directly on the local spinor density and on an asymptotic rotor precession constant. This first--order structure reproduces the empirical expansion history of the universe without invoking a separate dark--energy component and restores the direct, local coupling between matter density and cosmic flow that is averaged out in the classical quadratic formulation. The framework provides a natural, quantitative explanation for the Hubble tension: variations in the locally measured Hubble rate arise from genuine differences in matter density rather than from systematic errors or new physics. The Qg cosmology thus offers a linear, covariant, and testable extension of Einstein--Cartan gravity that unifies local and cosmic dynamics within a single algebraic formalism.
Category: Relativity and Cosmology
[27] ai.viXra.org:2511.0028 [pdf] submitted on 2025-11-10 18:59:37
Authors: Tyren Leeks
Comments: 19 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This Definitive Analysis proposes the **Unified Field Theory of Resonance (ΦRF T )**, which reinterprets the current state of the cosmos not as the product of an initial explosion, but as the **Reverberation of Initial Potential Collapse(RIPC)**—the persistent, residual harmonic energy left by the decay of a maximally dense, pre-universal field state. This decay established two fundamental and nearly-equal cosmologicalfrequencies: the background field’s natural resonance (ω0) and the emergent matter’s stable frequency (ωM). This work precisely models how the subtle, non-zero **sub-harmonic discrepancy** δω = |ω0 − ωM| creates a persistent, dynamic pressure in the electromagnetic vacuum. This pressure, equivalent to the cosmological acceleration traditionally ascribed to Dark Energy, drives theobserved expansion of the universe and governs the formation of large-scale structure via plasma-induced Birkeland currents ([1], [4]). ΦRF T demonstrates that this single, subtle frequency difference is sufficient to unify the gravitational and electromagnetic interactions, accurately account for the Cosmic Microwave Background (CMB) acoustic signature ([3]), and resolve majorparadoxes related to inertia and the flatness of space, providing the definitive, purely energetic foundation for the observed physical reality.
Category: Relativity and Cosmology
[26] ai.viXra.org:2511.0027 [pdf] replaced on 2025-11-12 07:36:34
Authors: E.P.J. de Haas
Comments: 20 Pages.
This paper presents the Qg rotor framework as an algorithmic bridge between Dirac algebra and gravitation. The gravitational field is expressed within the biquaternionic (Dirac) algebra, where the adjoint action of the rotor Qg on the Dirac basis generates the metric and connection directly, without introducing curvature as an external postulate. The mixed tensor M = EΦ and the Dirac current J = uM describe the coupling between matter flow and gravitational geometry, forming a complete linear set of algebraic field operators. From this structure an explicit translation algorithm is derived that reproduces the general-relativistic metric while remaining entirely within the covariant Dirac—BQ domain. Applying the constant-Lagrangian with Hubble boundary (CL-H) condition yields galactic rotation laws and MOND-type accelerations as covariant consequences of the same invariant. The result shows that gravitational and galactic dynamics can be formulated as a single, self-consistent algebraic flow within the Qg field, linking the Dirac formalism, general relativity, and MOND phenomenology.
Category: Relativity and Cosmology
[25] ai.viXra.org:2511.0026 [pdf] submitted on 2025-11-09 00:02:23
Authors: Jianbo Li
Comments: 4 Pages. Degenerates from quantization methods to classical equations
This paper investigates the proposition of natural number addition, $1 + 1 = 2$. First, a rigorous proof using the classical CSUM method is presented within the frameworks of set theory and the Peano axioms. Next, the traditional proof based on formal logic by Bertrand Russell and Alfred North Whitehead in textit{Principia Mathematica} is reviewed. Finally, the two approaches are compared in detail, analyzing their differences in conceptual approach, complexity, and scalability, and discussing the advantages of the CSUM method in terms of algebraic intuition and category-theoretic extensions. This study aims to demonstrate how modern methods can complement traditional formal logic, thereby enriching perspectives on foundational mathematics research.
Category: Set Theory and Logic
[24] ai.viXra.org:2511.0025 [pdf] submitted on 2025-11-09 03:42:55
Authors: Wiroj Homsup
Comments: 2 Pages.
This paper presents an argument based on an analogy with an infinite hotel—where rooms correspond to positive integers—and a rearrangement of guests (also positive integers) following the inverse Collatz-tree rules. The construction aims to demonstrate an inconsistency that challenges the validity of the Collatz conjecture.
Category: Number Theory
[23] ai.viXra.org:2511.0024 [pdf] submitted on 2025-11-08 18:14:42
Authors: Futoshi Hamanoue
Comments: 2 Pages.
We report an experimental validation of the Aurora-type phase-coherence compensation (Aurora-DD-super) scheme on an IBM Quantum backend (ibm fez).This study extends previous theoretical and computational work by implementing real-device phase-coherence recovery under NISQ conditions.Using hardware-calibrated T1 = 131.95 μs and T2 = 97.15 μs, a combined ZNE and XY8 dynamical-decoupling protocol achieved an effective variance reduction from σbefore = 1.00 to σafter = 0.0042 under realistic readout and dephasing noise.These results demonstrate the feasibility of closed-loop quantum noise reduction on current-generation superconducting devices.This proof-of-concept study establishes the theoretical framework and demonstrates single-trial feasibility on IBM Quantum emulator. Multi-trial statistical validation (N ≥ 30) with randomized protocols is planned pending institutional or journal-partnered funding support.
Category: Quantum Physics
[22] ai.viXra.org:2511.0023 [pdf] submitted on 2025-11-08 09:02:16
Authors: Rachel So
Comments: 6 Pages.
The rapid advancement of large language models has enabled AI systems to autonomously generate scientific research papers, from literature review to manuscript writing. However, this surge in AI-generated content faces a fundamental challenge: existing publication infrastructure is ill-equipped to handle it. Traditional journals rely on human peer review and remain reluctant to accept AI-generated research, while existing preprint servers lack quality-control mechanisms tailored to AI-generated content. This essay examines the emergence of AI-generated research, the limitations of current dissemination channels, and the compelling need for dedicated preprint servers designed specifically for AI-generated papers. Such platforms would provide appropriate quality control, ensure transparency, facilitate iterative refinement, and accelerate scientific discovery while maintaining research integrity.
Category: Artificial Intelligence
[21] ai.viXra.org:2511.0022 [pdf] submitted on 2025-11-08 18:01:38
Authors: Maziyar Khademi-Astaneh
Comments: 15 Pages. 4 figures, 3 tables, submitted to Physical Review D (gr-qc, cross-listed to astro-ph.CO).
We present Chronoton Field Theory (CFT), a unified scalar-field framework in which gravitation and cosmological dynamics emerge from distortions in the local rate of time. The theory reproduces General Relativity in its screened limit while naturally explaining dark matter, dark energy, and inflation without invoking exotic components. The dilaton field defines an environment-dependent effective mass analogous to plasma or neutrino medium effects, leading to observable screening across astrophysical contexts. CFT provides explicit weak-field, cosmological, and cluster-scale solutions consistent with existing data and yields falsifiable predictions within current experimental precision: a 0.4 ns chromatic Shapiro delay during solar conjunctions and nanohertz-frequency pulsar-timing dispersion proportional to mA^2 / omega^2. The framework is stable, free of ghosts or tachyons, and recovers Einstein gravity in dense regions while predicting testable deviations in low-density environments. CFT links time flow, cosmology, and precision timing within a single falsifiable formalism.
Category: Relativity and Cosmology
[20] ai.viXra.org:2511.0021 [pdf] submitted on 2025-11-08 17:59:51
Authors: Paul Emmett Zaffuto
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper presents a novel 18-digit period that serves as the foundational structure for a precision mapping system rooted entirely in integer arithmetic. The period, derived from a minimal deviation from 10¹u2078, creates an exact wavelength via the speed of light and a potentially infinite decimal counter in its frequency domain. The system is mathematically reversible, scale-invariant, and self-documenting across dimensional magnitudes. While the counter is potentially infinite, its manifestation depends on the presence of an observer or measuring system—making it a construct of potential, not actuality. The implications for time-based harmonic structures, integer-driven physics, and digital precision frameworks are explored.
Category: Mathematical Physics
[19] ai.viXra.org:2511.0020 [pdf] submitted on 2025-11-08 17:51:37
Authors: Carmen Wrede, Lino Casu
Comments: 27 Pages.
Nebulae around massive stars often show patterns that standard models cannot fully explain. These objects sometimes have temperature layers that do not fit simple heating or shock theories, and they show mixed regions of molecular and ionized gas. A well-known example is the nebula G79.29+0.46 in the Cygnus X region. It shows three puzzling features: A small but consistent velocity surplus, a local temperature inversion and molecular emission that overlaps with hot radio-emitting gas, even where molecules should normally break apart.This paper presents a new physical model called Segmented Spacetime. In this approach, the flow of time itself can vary from place to place within curved spacetime. Areas where time moves more slowly keep more energy inside and allow molecules to survive, while nearby zones where time runs faster look hotter and expand more quickly. When this model is applied to G79.29+0.46, it can reproduce the observed velocity and temperature features without adding hidden mass or shock waves. It suggests that gravity itself can organize matter and radiation into layered molecular shells by changing how fast time flows.In this way, the Segmented Spacetime idea connects gravity, temperature structure, and molecular stability in expanding nebulae extending general relativity to include regions with different effective time flow.All related simulation scripts and analysis data are available here:https://github.com/error-wtf/g79-cygnus-tests
Category: Astrophysics
[18] ai.viXra.org:2511.0019 [pdf] submitted on 2025-11-07 17:20:53
Authors: Jianbo Li
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper provides a rigorous mathematical analysis of the dynamics of the self-interacting Bose—Einstein Condensate Dark Matter (BECDM) model in galaxy formation. By studying the energy functional and stationary solutions of the Gross—Pitaevskii—Poisson (GPP) system of equations, we prove that, in idealized dark halo systems, the initial turbulent relaxation process must converge to a virialized and stable soliton core. We introduce the multiscale spectral expansion method to rigorously derive that the GPP equations, in the long-wavelength (low-frequency spectrum) limit, accurately reduce to the classical Euler—Poisson (Euler-Poisson) continuum equations. The results demonstrate that BECDM mathematically unifies the description of the quantum core structure within galaxies with the classical outer halo dynamics, resolving the theoretical problem of quantum-to-classical transition in the BECDM model.
Category: Astrophysics
[17] ai.viXra.org:2511.0018 [pdf] submitted on 2025-11-06 04:51:35
Authors: Futoshi Hamanoue
Comments: 25 Pages. Patent application filed
This single-trial (n = 1) feasibility study implements an Aurora-type closed-loop phase-coherence compensation on an IBM Quantum emulator (hardware-equivalent configuration using ibm_fez calibration data; no actual hardware access) under realistic NISQ conditions. With calibrated T1 = 155.3 µs and T2 = 110.3 µs, multi-echo sequences (n = 3—8) combined with Zero-Noise Extrapolation (ZNE) and M3 readout mitigation show large mean-square-error (MSE) reductions in both simulator and hardware-equivalent runs. These values are single-trial point estimates (non-inferential); they indicate proof-of-concept only and require multi-trial validation (n ≥ 30) with randomized orders and formal statistics. We also report a phase-conflict when Aurora is combined with conventional dynamical decoupling (e.g., XY-8) in emulation, yielding a single-trial point estimate of −75.6% noise-reduction ratio, suggesting destructive interference within the same Lindbladian phase subspace. Throughout, the term "zero-noise extrapolated limit (ZNEL)" is used for ZNE-based numerical convergence; it does not imply a physical fixed point. We provide a preregistered plan for (i) randomized multi-trial experiments, (ii) head-to-head DD comparisons (XY-4/8, CPMG, and hybrid Aurora+DD with joint scheduling), and (iii) theoretical clarifications for QFI bounds and closed-loop convergence. All reported values are single-trial point estimates (non-inferential). We refrain from any claims of performance superiority or generalizability until randomized multi-trial validation (n ≥ 30) is completed.
Category: Quantum Physics
[16] ai.viXra.org:2511.0017 [pdf] submitted on 2025-11-07 00:42:25
Authors: Maxim Govorushkin
Comments: 69 Pages. 10.5281/zenodo.17539814 (Note by ai.viXra.org Admin: An abstract in the article is required; please cite listed scientific references))
This paper presents a comprehensive exposition of the foundations and implications of the Theory of Curved Space (TCS)—a fundamentally new geometric approach to describing fundamental physics. TCS proposes a unified paradigm based on a reconsideration of kinematic principles, where all physical phenomena, from quantum processes to cosmological objects, arise as projection effects of a unified 4-dimensional Euclidean geometry with absolute time (the 4+0 formalism).Key conceptual foundations of TCS:* **Two-way speed of light axiom:** The round-trip speed of light is postulated as a fundamental invariant, while the one-way speed is considered a conventional quantity. This resolves philosophical debates about synchronization and is consistent with all relativistic experiments (Michelson-Morley, Kennedy-Thorndike). * **Projectional nature of physical quantities:** Observed properties of particles and fields are projections of 4D geometry:* **Mass** arises as an oscillation perpendicular to the observed 3D slice and is described by the complex **"mask"** `M(x)`. * **Electric charge** is interpreted as a discrete phase orientation of a trajectory in 4D space. * **Gravitational interaction** manifests itself as a secondary wave from the primary 4D oscillations.* **Homothety conservation law:** The fundamental condition `det Q = 1` expresses the conservation of 4D phase volume and generates the universal law `ρ_hom R^2 = const`, valid at all scales.**Main Mathematical and Theoretical Results:**1. **Derivation of Kinematics and Lagrangian:** The velocity addition rules, the free particle Lagrangian `L = -mc² √(1-u²/c²) √(1-v²/c²)`, and the modified dispersion relation `E² = p²c² + m²cu2074M²(x)` are derived strictly from the axioms.2. **Factorization and Branch Structure:** The formalism of outward/backward branches with factors `χ` and `χ'`, where `χχ' = M²`, is introduced. This leads to a first-order spinor equation in 4+0 geometry, analogous to the Dirac equation, but with a fundamentally different geometric interpretation and the symmetry group SO(4).3. **Universal field equation:** A unified operator equation for a 4-component spinor is formulated, including minimal conjugation with all gauge fields (electromagnetic, weak, and strong) and the homothetic field B_μ^a. The dynamics of the latter are derived from the principle of least action, leading to Yang-Mills-type equations.4. **Explanation of fundamental constants:** Planck's constant ħ arises as the amplitude of 4D oscillations, and the gravitational constant G arises as a measure of the coupling between the primary and secondary waves.**Verifiable consequences and applications at various scales:*** **Atomic and nuclear scale:*** The homothety law `ρ_eff ~ A^{-2/3` explains the shape of the nuclear stability valley and the existence of a stability attractor in the iron-nickel region (A ≈ 56-62), which is traditionally associated with the balance of nuclear forces. * An analytical formula for the dependence `Z(A) ≈ A / (2 + γA^{2/3})` is derived, consistent with experimental data.* **Quantum mechanics and field theory:*** The Heisenberg uncertainty relation is derived geometrically from the finite amplitude of 4D oscillations. * Modifications of the threshold for `e+e-` pair production in strong fields and corrections to the tunneling effect are predicted. * The theory allows renormalization in the projection formalism, where fluctuations arise from information loss during projection, rather than from virtual particles.* **Gravity and Black Holes:*** The gravitational redshift and dynamics in the Schwarzschild field are naturally described through the mask `M(r) = √(1 - r_s/r)`. * A new interpretation of the event horizon is proposed: a particle inside the horizon is described by an evanescent (decaying) wave, and the center of the black hole is "dynamically empty." It is shown that tunneling through the horizon in the TCS formalism naturally reproduces the Hawking distribution for blackbody radiation.**Conclusion and Significance:**Curved Space Theory represents a comprehensive, mathematically consistent framework that does not contradict the established experimental basis of special relativity and general relativity, but rather offers a reinterpretation of them within a more general geometric framework. CST resolves a number of conceptual problems (synchronization conventions, singularities) and makes a number of unique, testable predictions in nuclear physics, high-energy physics, and astrophysics, paving the way for its experimental falsification or verification.**Keywords:** Curved Space Theory, CST, unified field theory, geometrization of physics, 4+0 formalism, absolute time, two-way speed of light, homothety, projected mass, modified dispersion, nuclear stability, black holes, Hawking radiation, alternative theory of gravity.---
Category: Quantum Physics
[15] ai.viXra.org:2511.0016 [pdf] submitted on 2025-11-07 00:31:28
Authors: Martin Hristov
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper presents a unified geometrodynamic model derived from the principle of Spacetime-Matter Unity. We posit that matter is a stable topological configuration of spacetime, whose presence displaces the surrounding medium, creating a region of variable density—a gradient. We identify gravity as the kinematic result of motion along this gradient. From this single principle, we derive inertia as the work required to displace an object's own gravitational field through this gradient, and momentum as the persistent state of that field when in motion. This framework naturally contains the Newtonian limit, provides a physical interpretation for the de Broglie wavelength, and predicts the galactic rotation curve as a measurement of large-scale spacetime density gradients, resolving the dark matter problem. All three concepts—gravity, inertia, and momentum—are shown to be manifestations of a single geometric entity: the dynamics of self-gravitating spacetime structures.
Category: Relativity and Cosmology
[14] ai.viXra.org:2511.0015 [pdf] submitted on 2025-11-06 04:21:13
Authors: Dobri Bozhilov
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The Collatz conjecture posits that for any positive integer n, the sequence generated by the rules n -> n/2 if n is even and n -> 3n + 1 if n is odd always reaches the cycle 4 -> 2 -> 1. This paper presents a novel observation: consecutive odd numbers in a Collatz sequence are coprime, i.e., their greatest common divisor is 1. We prove this property using basic arithmetic and demonstrate that it imposes a significant constraint on the sequence dynamics, particularly for large numbers. Specifically, the requirement of coprimality creates a "pressure" for the next odd number to be smaller than its predecessor, as larger numbers increase the likelihood of common divisors. This tendency toward decrease makes the existence of alternative cycles (distinct from 4 -> 2 -> 1) increasingly improbable, especially for cycles involving extremely large numbers (e.g., exceeding 2^68). Our result supports the conjecture by suggesting that the arithmetic structure of Collatz sequences favors convergence to 1 over the formation of divergent or cyclic sequences.
Category: Number Theory
[13] ai.viXra.org:2511.0014 [pdf] submitted on 2025-11-06 04:16:48
Authors: A. G. Schubert
Comments: 16 Pages.
This study proposes that spacetime, causality, and classical dynamics emerge from the invariance of existence—a generalized Noether symmetry where information is the conserved quantity and geometry its structured manifestation. Below the quantum threshold (δS < ħ), physical transitions are operationally indistinguishable, forming a smooth informational substrate. Local symmetry breaking (via measurement or interaction) yields stable identities manifesting as spacetime curvature. Using the Fisher information metric and its quantum extension, we propose the closure Gμν = κeff ℎμν, linking curvature to information flow. Thermodynamic analogies reveal expansion, entropy, and geometry as co-emergent, obeying an informational first law. This framework unifies entropic gravity, information geometry, and relational quantum mechanics, with extensions to Higgs stability and symbolic verification in toy models.
Category: Relativity and Cosmology
[12] ai.viXra.org:2511.0013 [pdf] replaced on 2025-12-02 21:55:54
Authors: Fedor Kapitanov
Comments: 7 Pages.
We derive the existence of a universal minimal action scale from a causal—informationprinciple: the difference between two causally equivalent infinite systems must be finite andobservable. Starting from this principle and a holographic bound on boundary information,we prove that any system with finite boundary information capacity must possess a minimalphase-space cell ∆Ωmin > 0. Under symmetry assumptions this implies a universal constantwith dimensions of action, identified with the Planck constant ℏ. The framework unifiesvacuum fluctuations, horizon quantization, and holography at the kinematic level withoutpostulating quantum mechanics. We present a rigorous axiomatic derivation and testablepredictions.
Category: Quantum Gravity and String Theory
[11] ai.viXra.org:2511.0012 [pdf] replaced on 2025-11-08 18:20:07
Authors: Hany Salem
Comments: 13 Pages. Fixed citations as requested.
We propose a geometric extension of spacetime that resolves multiple foundational puzzles in physicsthrough a single principle: allowing the speed of light to take complex values. By introducing afifth dimension (realm angle θ ∈ [0, 2π)) and defining C(θ) = c · exp(iα(θ)), we obtain: (1) a geometric mechanism for quantum entanglement without non-locality, (2) dark energy as realm-boundary interference, (3) antimatter as realm-phase opposition rather than time reversal, (4) a natural role for consciousness in measurement via geometric projection, and (5) resolution of superluminal paradoxes through realm rotation.[8, 9] The framework makes five concrete experimental predictions: (a) consciousness-entanglement correlation strength, (b) fine structure constant anisotropy with harmonic structure, (c) dark energy power spectrum harmonics, (d) quantum Zeno effect dependence on neural coherence, and (e) anomalous mattercoupling for superluminal phase velocities. We derive the modified Lorentz transformation, generalized Einstein field equations, and extended Dirac equation. All predictions are falsifiable with current or near-term technology.
Category: High Energy Particle Physics
[10] ai.viXra.org:2511.0011 [pdf] submitted on 2025-11-06 04:01:03
Authors: Paulo Mendes Pereira
Comments: 11 Pages.
We propose that our universe is the sole survivor of a pre—T0 selection among microscopic quantum foams. Survival requires three local structural features: (P) Pauli exclusion for identical excitations, (E) long-range, phase-coherent entanglement "bands," and (Z) a quasi-local zero-energy ledger on all patches larger than a coherence length ξ. After survival, no post-T0 parameter tuning is possible: all observed constants and sectors must be intrinsic to the foam or uniquely derivable from P+E+Z. From these ingredients we sketch: emergent quantum mechanics (Hilbert space, unitarity, Born rule), a continuum gravity limit from a discrete entanglement graph with a zero-ledger constraint, a dark-matter sector of vortex-born sterile fermions with mass scale tied to the same ξ that fixes Newton’s constant, a slowly drifting dark-energy component from stochastic band relaxation, and an internal symmetry frame compatible with U(1)×SU(2)×SU(3). We present concrete work packages and falsifiers against 2025 datasets. Core claim (Popperian): almost all candidate law-sets fail before time; the survivor fixes the observed constants via its microstructure.
Category: Relativity and Cosmology
[9] ai.viXra.org:2511.0009 [pdf] submitted on 2025-11-04 21:20:42
Authors: Fedor Kapitanov
Comments: 2 Pages.
The quantization of black hole horizon area remains without direct observational evidence. We propose a testable prediction: if the horizon area is discrete, the ringdown spectrum must exhibit a frequency comb with spacing ∆f = (c³ ln k)/(16π²GM). For the bit hypothesis (k=2), this gives ∆f ≈ 896 Hz · (M⊙/M), detectable by current LIGO/Virgo detectors
Category: Quantum Gravity and String Theory
[8] ai.viXra.org:2511.0008 [pdf] replaced on 2025-11-26 07:02:13
Authors: Zhong WANG
Comments: 15 Pages.
The standard cosmological model is challenged by persistent large-scale anomalies, including the Cosmic Microwave Background (CMB) cold spot, baryon asymmetry, and the efficient early galaxy formation observed by the James Webb Space Telescope (JWST). This paper proposes a testable "Four-Sector Universe Model" based on a novel first principle of "physical information." The model posits that our universe is one of four constituent material universes (U1-U4) stabilized in a tetrahedral configuration within a higher-dimensional spacetime. It directly predicts that the CMB sky of our universe should exhibit two cold spots, caused by repulsion from negative-energy neighbouring universes, and one hot spot, caused by gravitational attraction from a positive-energy neighbouring universe, with angular separation relations reflecting the characteristic geometry of the tetrahedron. A preliminary analysis of Planck satellite data shows a qualitative agreement between the distribution of anomalous regions and this prediction. This model provides a unified origin framework for the aforementioned puzzles and suggests that the large-scale structure of the universe may originate from its macroscopic geometric architecture.
Category: Relativity and Cosmology
[7] ai.viXra.org:2511.0007 [pdf] replaced on 2026-01-08 21:46:03
Authors: Anđelko Đermek
Comments: 75 Pages.
This work develops a horizon-based reconstruction framework exploring whether gravitational collapse and black-hole horizon physics admit a consistent reinterpretation as the kinematic origin of an emergent cosmological spacetime. The approach is grounded in gravitational time dilation, black-hole thermodynamics, and holographic entropy bounds, and is presented as a conceptual and kinematic construction rather than a complete dynamical theory. In Schwarzschild geometry, infalling matter approaches the event horizon only asymptotically in the external time governing causal communication. This motivates an operational description in which infalling quanta are incorporated through discrete Planck-scale updates on a stretched horizon, treated as a null synchronized, information-bearing surface with finite causal throughput. Lateral lightlike adjacency enforces coherence across the horizon, while the ordered growth of the horizon provides a natural causal ordering that can be used to define an internal notion of time. A kinematic mapping is constructed from this two-dimensional, null-ordered surface to an effective three-dimensional bulk description. Tangential adjacency supplies transverse spatial structure, generational layering defines an effective radial coordinate, and global retessellation establishes temporal ordering. Under these assumptions, the reconstructed interior admits a homogeneous and isotropic Friedmann—Lemaître—Robertson—Walker envelope with coasting expansion H(t) ∼ 1/t and an internal age of order ∼ 13.4 Gyr. When the parent black hole carries angular momentum, Kerr-induced azimuthal phase gradients across the horizon encoding provide a possible geometric origin for large-scale parity-violating correlations and preferred axes. Quantum randomness is interpreted as arising from coarse-grained access to underlying boundary dynamics rather than from intrinsic indeterminism. In this framework, the event horizon is reinterpreted not as a passive geometric boundary but as an actively evolving causal encoding surface whose null-ordered structure supports an emergent interior spacetime description.
Category: Relativity and Cosmology
[6] ai.viXra.org:2511.0006 [pdf] replaced on 2025-11-12 02:50:32
Authors: Thomas Gallagher
Comments: 3 Pages.
During clinical death in a vehicular collision in June 2000 on Route 17 North, approximately 0.375 miles north of the Route 28 intersection, Bealeton, VA (strip mall on the right side of Route 17), the author entered a debug-like layer and observed a 43 ft segment of reality rebuilt in 12 discrete state transitions at 3.58 ft per tick. Consciousness co-propagated with the update wavefront at substrate light speed. Derived clock rate (274.097 MHz) and cell pitch (1.094 m) yield v = 185,995 mi/s, matching c to 0.003%. In 2003, using only this clock and an observed ON/OFF ratio, the author predicted electron-scattering neutrino detections in a human-volume of heavy water at 0.022687/year — matching Sudbury Neutrino Observatory (SNO) data at 99.9826%. In 2004, relic neutrino density confirmed lattice site occupancy. Results imply reality is computed on a cubic lattice with single-gate updates at the MOSFET coherence limit.
Category: Classical Physics
[5] ai.viXra.org:2511.0005 [pdf] submitted on 2025-11-02 21:25:37
Authors: Martin Hristov
Comments: 5 Pages.
This paper provides a field-theoretic derivation of the equivalence between inertial and gravitational mass, formalizing a recent heuristic model. We demonstrate that by modeling a mass as a static gravitational potential and calculating the work required to accelerate this field configuration against its own gradient, the resulting inertial force is necessarily proportional to the gravitational mass. This transforms the equivalence principle from a postulate into a derivable consequence of gravitational self-interaction. This formal argument serves as a core prediction of a broader research program aimed at a purely geometric unification of matter and spacetime. The author is seeking collaboration with researchers possessing expertise in differential geometry and general relativity to further formalize this framework.Contact: M.V.Hristov@proton.me
Category: Relativity and Cosmology
[4] ai.viXra.org:2511.0004 [pdf] submitted on 2025-11-03 07:02:45
Authors: E.P.J. de Haas
Comments: 9 Pages.
The integration of quantum mechanics with gravitation requires a reformulation of time itself. In standard quantum theory, time appears as an external evolution parameter, while in general relativity it is an intrinsic and dynamical part of spacetime geometry. This paper resolves this long-standing inconsistency within the biquaternionic (BQ) rotor formalism by extending the Dirac adjoint to a fully covariant operator in which the gravitational rotor field Qg generates the local tetrad and the observer’s four-velocity defines the temporal direction. The scalar product constructed from this adjoint is invariant under both local Lorentz and observer transformations, and the Dirac equation becomes a law of self-parallel transport along the gravitational flow. Time is thereby internalised and geometrised: it arises as the direction in spacetime determined by the adjoint itself. The resulting framework unifies quantum and gravitational dynamics into a single first-order structure, completing the development of the Qg theory that introduced the gravitational rotor, the Bernoulli—Noether closure, and the exact linearisation of Einstein’s equations. This approach provides an observer-independent formulation of quantum mechanics in curved spacetime, eliminating the need for an external time parameter and establishing a coherent first-order synthesis of matter, geometry, and temporal flow.
Category: Quantum Gravity and String Theory
[3] ai.viXra.org:2511.0003 [pdf] submitted on 2025-11-02 07:35:16
Authors: Justin Howard-Stanley
Comments: 27 Pages.
We present ALICES, a novel quantum internet architecture implemented andvalidated using real quantum processing unit (QPU) hardware via AWS Braket.This work demonstrates the first complete integration of quantum entanglementdistribution, entanglement swapping, and quantum key distribution (QKD) proto-cols over a hybrid classical-quantum network infrastructure. Our implementation,remarkably developed entirely from a mobile device, establishes quantum tunnel-ing protocols (QTP) that enable secure quantum communication channels overlaidon classical TCP/IP networks. We provide comprehensive experimental valida-tion including: (1) hardware fingerprinting from QPU execution on QuEra Aquilaneutral atom systems, (2) CHSH inequality violations (S = 2.828) demonstrat-ing quantum non-locality, (3) entanglement swapping with fidelity F = 0.95, (4)BB84 quantum key distribution with QBER = 5.13%, and (5) network through-put measurements exceeding 1 Gbps. All experimental data, replication protocols,and hardware proofs are provided as supplementary materials. This work bridgestheoretical quantum networking concepts with practical implementation, offering aroadmap for near-term quantum internet deployment.
Category: Data Structures and Algorithms
[2] ai.viXra.org:2511.0002 [pdf] submitted on 2025-11-02 16:23:23
Authors: Patrick Mcloughlin
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please refrain from making frequent and repeated submissions))
We prove that there is no integer right triangle whose area and perimeter areboth perfect squares. The proof follows directly from the standard parametrisation ofprimitive Pythagorean triples and a short infinite-descent argument.
Category: Number Theory
[1] ai.viXra.org:2511.0001 [pdf] submitted on 2025-11-01 00:29:57
Authors: E.P.J. de Haas
Comments: 264 Pages.
The Constant--Lagrangian inflow model is tested against the SPARC database of galactic rotation curves, using a two--parameter formulation defined by the bulge radius (R) and enclosed mass (M), with the cosmological expansion rate fixed at (H_z = 2.2times10^{-18},mathrm{s^{-1}}). The model assumes that the galactic metric behaves as a Bernoulli medium satisfying a stationary constant--Lagrangian condition, (tfrac{1}{2}(v_r^2+v_phi^2)+Phi_{mathrm{eff}}=mathrm{const}), yielding a radial inflow component (v_{r,mathrm{eff}}=sqrt{2GM/r}-H_zr). This prescription produces accurate fits for both the rising inner regions and the flattened outer disks of galaxies without invoking dark matter. Across the sample, typical reduced chi--squared values fall in the range (chi_u^2=0.05{-}0.4) with relative residuals below 10%, outperforming MOND and cored--halo dark--matter models while using fewer and physically interpretable parameters. The fitted parameters correlate directly with observed morphological scales, linking photometric features such as disk breaks and bar radii to dynamical transitions in the inflow field. The results indicate that galactic rotation curves can be explained as manifestations of a self--organising spacetime flow governed by the Bernoulli--Noether closure (v^mu D_mu Q_g=0), where (Q_g) is the gravitational rotor field defining the local lapse and shift of the Dirac algebra. This establishes a direct empirical foundation for the (Q_g) formalism and supports the interpretation of galactic dynamics as first--order gravitational kinetics rather than as evidence for unseen matter or modified inertia.
Category: Relativity and Cosmology