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[75] ai.viXra.org:2510.0080 [pdf] submitted on 2025-10-30 23:27:47
Authors: Joseph Shaffer
Comments: 5 Pages.
The focus of this series of papers is to confirm the theory that deterministic quantum descriptions of entanglement interactions between galaxies occur at infinite speeds. We verify this approach by comparing galactic rotation curves using our theoretical assertion with actual observed rotation curves, and calculating the disparity between theory and observation.
Category: Astrophysics
[74] ai.viXra.org:2510.0079 [pdf] submitted on 2025-10-31 00:47:22
Authors: E.P.J. de Haas
Comments: 24 Pages.
This paper shows that the gravitational rotor field Qg, defined inside the Dirac algebra, provides an exact first-order linear formulation of stationary General Relativity. The field satisfies a Bernoulli—Noether transport law that acts as the linear generator of the Einstein equations. The metric, and with it curvature, lapse, and shift, emerge internally from the adjoint action of the rotor rather than from an externally imposed spacetime geometry. Explicit constructions for the Schwarzschild, Kerr, Kottler—de Sitter, FLRW, and Gödel metrics demonstrate that all stationary Einstein geometries can be derived directly from suitable rapidity profiles of Qg. The resulting line elements coincide with the familiar Painlevé—Gullstrand or Doran forms and reduce to the standard diagonal coordinates by simple transformations. In this framework, the Einstein equations appear as the second-order integrability conditions of a linear, first-order rotor transport law—exactly as the Dirac equation is the linear "square root" of the Klein—Gordon equation. Gravitation is therefore interpreted as a linear, self-organising flow within the Dirac algebra, placing General Relativity on the same algebraic foundation of linearity that underlies quantum theory.
Category: Relativity and Cosmology
[73] ai.viXra.org:2510.0078 [pdf] submitted on 2025-10-31 16:11:08
Authors: Christos Thessalonikios
Comments: 8 Pages.
his work introduces a framework for exploring prime numbers through oscillatory fractal structures. Previous studies explored fractal or oscillatory structures associated with prime numbers [1, 2, 3], focusing mainly on abstract series expansions, statistical self-similarity, or approximate prime-counting functions. Here, i construct a prime-anchored Weierstrass-type fractal, with oscillations peaking at prime numbers. By mapping this fractal onto a helical geometry and applying an additive prime envelope, we provide a new geometrical perspective for visualizing primes and analogies with the Riemann zeta function.
Category: Number Theory
[72] ai.viXra.org:2510.0077 [pdf] submitted on 2025-10-31 16:09:09
Authors: Linia Hammache
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite all listed scientific references)
This paper introduces a novel class of hybrid sequences combining geometric and arithmeticprogression mechanisms modulated by periodic trigonometric functions. The sequenceis defined through a piecewise formulation based on parity indices, with amplitude evolutiongoverned by geometric growth for even terms and arithmetic progression for odd terms. Weestablish fundamental properties including convergence behavior, pseudo-periodic characteristics,and parametric sensitivity analysis. The sequence demonstrates potential applicationsacross signal processing, economic modeling, and physical systems simulation. Theoreticalanalysis reveals rich dynamical behavior controlled by three intuitive parameters.
Category: General Mathematics
[71] ai.viXra.org:2510.0076 [pdf] submitted on 2025-10-30 20:35:45
Authors: J. W. McGreevy
Comments: 4 Pages.
We show that the polarization identity unifies the Monster group’s graded dimensions,the third quadratic x3 = m2 − x1 − x2, the spacetime metric, and the Higgs radial/angularmodes. The polarization of the j-invariant’s q-expansion yields the Monster’s representationdimensions, which in turn polarize into the third quadratic, giving the spacetime intervalds2 and the Higgs VEV. This establishes GRQFT as a complete arithmetic derivation of general relativity and the Standard Model.
Category: Mathematical Physics
[70] ai.viXra.org:2510.0075 [pdf] submitted on 2025-10-30 08:17:51
Authors: E.P.J. de Haas
Comments: 24 Pages.
This study develops a first-order formulation of gravitation inside the Dirac-biquaternionic algebra, continuing a research programme that embeds the geometry of general relativity directly within the Dirac formalism. The gravitational field is represented by a rotor, denoted Qg, whose adjoint defines the local lapse and shift and thereby replaces the metric tensor of general relativity. The corresponding covariant derivative remains first order in derivatives, so that curvature arises as an internal commutator, making gravity an intrinsic property of the Dirac medium rather than an external geometry. From this structure emerges the Bernoulli—Noether Closure, a first-order constitutive law expressing the self-organisation of spacetime as an inviscid perfect fluid with constant total metric energy along each streamline. The stationary solutions of this law reproduce the Schwarzschild, Kerr, and Schwarzschild—de Sitter metrics as equilibrium configurations, while also admitting a new class of axisymmetric, irrotational "constant-Lagrangian spiral" solutions that account for the observed flat galactic rotation curves without invoking dark matter. In this framework, Einstein’s second-order field equations appear as the steady-state limit of the first-order rotor dynamics, and the conserved rapidity norm of the flow provides a direct thermodynamic interpretation of gravitational energy, entropy, and equilibrium. The resulting theory unifies quantum spinor dynamics, gravitational curvature, and large-scale galactic structure within a single algebraic principle, establishing the Qg—BNC formalism as a first-order, kinetic completion of general relativity.
Category: Quantum Gravity and String Theory
[69] ai.viXra.org:2510.0074 [pdf] submitted on 2025-10-30 13:42:16
Authors: Hamed Mehrabi
Comments: 14 Pages.
Multi-agent systems increasingly deploy heterogeneous language models to balance computational constraints, latency requirements, and specialized capabilities across diverse agents. However, transferring domain expertise across these architectures remains impractical since each model requires separate fine-tuning, multiplying training costs and storage overhead. We introduce Universal-Adopter LoRA (UAL), a training-free framework that exports LoRA adapters into an architecture-agnostic intermediate representation and enables runtime adoption across heterogeneous models via compact SVD projection. Unlike existing methods that require synthetic data generation or are limited to similar architectures, UAL is completely data-free, training-free, and operates in minutes on commodity hardware. We demonstrate successful transfer of a medical knowledge adapter from Pythia-160M (768 dimensions) to GPT-2, TinyLlama-1.1B (2048 dimensions), and Qwen2-0.5B (896 dimensions), achieving 75--100% module attachment rates and 26--85% behavioral changes while maintaining domain quality. UAL transforms LoRA from model-specific weights into portable skill packages, enabling agent ecosystems where expertise flows seamlessly across architectural boundaries.
Category: Artificial Intelligence
[68] ai.viXra.org:2510.0073 [pdf] submitted on 2025-10-28 20:52:56
Authors: E.P.J. de Haas
Comments: 23 Pages.
This paper extends earlier work on the biquaternionic (BQ) representation of the Dirac algebra by introducing the gravitational rotor field Qg (x) ∈ Spin(1, 3)C aand analysing its consequences for the structure of relativistic dynamics. The formalism distinguishes between the special-relativistic (Kinematic) boost, which acts on spinor components within a fixed background, and the gravitational (G-) boost, which acts on the basis itself through the adjoint /G = Qg.β0.Q^-1. This difference transforms the notion of curvature from an external geometric property into an internal rotation of the Dirac algebra. The resulting Dirac—Q Lagrangian is first order in derivatives and defines both the gravitational connection and its conserved current within the same algebra. General Relativity is recovered as a slow-field limit, while the formulation remains compatible with the Standard Model and quantum chromodynamics. The approach is exploratory: it proposes a compact algebraic framework in which geometry, mass, and quantisation emerge as interdependent aspects of a single Dirac medium.
Category: Quantum Gravity and String Theory
[67] ai.viXra.org:2510.0072 [pdf] submitted on 2025-10-29 20:33:43
Authors: Ivars Fabriciuss
Comments: 30 Pages.
The cosmological constant problem and the nature of inertia are two of the most profound puzzles in theoretical physics. We propose a unified solution based on the elastic properties of a structured vacuum: the I 3 crystal, a Planck-scale lattice characterized by negative energy density and negative pressure. From this substrate, we derive an infrared graviton mass mg = ℏH/c2 and an inertia quantum m⋆ = ℏH/(2πc2), related by mg = 2πm⋆. The framework provides a mechanical explanation for inertia, gravitation, and cosmic acceleration without fine-tuning, and offers testable predictions for gravitational wave dispersion and dark energy evolution.
Category: Relativity and Cosmology
[66] ai.viXra.org:2510.0071 [pdf] submitted on 2025-10-29 20:31:55
Authors: Sara Gomez Riol
Comments: 13 Pages.
The Hubble tension ($H_0^{m local} = 73.0 pm 1.0$ km/s/Mpc vs $H_0^{m CMB} = 67.4 pm 0.5$) and the S$_8$ discrepancy ($0.83$ predicted by $Lambda$CDM vs $0.76 pm 0.01$ observed) challenge the standard cosmological model. We introduce the Finite Flows Theory (TFF), a framework derived from three minimal axioms where time is a fundamental discrete field $phi_t$ with geometric signature $gamma = 3/(8pi)$ emerging from 3D dimensional stability. The master equation and Induced Flows Lagrangian (LFI) are derived step-by-step from these axioms (Appendix B). Using DESI DR2 BAO measurements, TFF fits the data with $chi^2 = 4.18$ (vs $Lambda$CDM's $4.00$), achieving a Bayes factor $sim 2.3 times 10^{10}$ by naturally reconciling local $H_0$ with Planck $Omega_m = 0.315 pm 0.007$ and predicting $S_8 = 0.762$ that resolves the observed tension. Sensitivity analysis (Appendix C) confirms robustness, with Bayes factor $>10^5$ under weak priors. 2D and 3D simulations verify emergent fermion spin ($s=1/2$ via $pi$ periodicity), topological repulsion ($E_{m int} approx 0.001 E_P$, comparable to Pauli potential in superfluids), and $gamma approx 0.119$ from the Fourier spectrum. Vacuum energy is derived as $ho_{m vac} = frac{3}{8pi} frac{H^2}{G} c^2$ (Appendix B), self-regularizing divergences. Falsifiable predictions include $w(z=1) = -0.97$ (Euclid 2026), LHC diphoton resonances $sim 1.2$ TeV, and Mercury precession anomaly $+0.002''$/century (BepiColombo). TFF unifies tensions from first principles without ad hoc parameters, with fully reproducible code in Appendix A.
Category: Relativity and Cosmology
[65] ai.viXra.org:2510.0069 [pdf] submitted on 2025-10-28 20:13:50
Authors: Perry Henderson
Comments: 4 Pages.
Exoskeleton technology represents a major step forward in industrial ergonomics, mechanical design, and human—machine integration. As global manufacturing sectors seek to improve worker safety and productivity, mechanical engineering plays a pivotal role in transforming exoskeletons from experimental devices into reliable industrial tools. This paper explores how engineering methodologies, dynamic modeling, load-path optimization, and materials selection enable the design of efficient, comfortable, and adaptive exoskeleton systems. The emphasis on mechanical balance between structural strength and mobility reflects a new era of ergonomically intelligent design, where machinery supports rather than replaces human labor. Central to this evolution are advances in carbon-fiber-reinforced polymers (CFRPs) and composite materials. Their high stiffness-to-weight ratios and anisotropic properties enable precise tuning of flexibility and rigidity, providing mechanical efficiency without sacrificing comfort. By employing finite element analysis and parametric design, engineers can predict stress distribution and optimize the placement of reinforcements, ensuring the exoskeleton mirrors human motion accurately. Additive manufacturing further allows for anthropometrically tailored components, integrating structural integrity with ergonomic precision. These innovations mark a decisive movement away from heavy, restrictive devices toward wearable systems capable of long-term industrial deployment. The broader impact extends beyond mechanics. Industrial exoskeletons reduce workplace injuries, mitigate fatigue, and increase consistency in high-repetition tasks. They integrate seamlessly with Industry 4.0 production systems, where human motion can be tracked, analyzed, and augmented by machine learning algorithms. As automation reshapes manufacturing, mechanical engineers bridge the physical and digital domains, creating designs that enhance human performance rather than eliminate human presence. Exoskeletons thus symbolize a future where engineering precision aligns with human adaptability, producing environments that are not only more productive but also safer and more sustainable.
Category: General Science and Philosophy
[64] ai.viXra.org:2510.0068 [pdf] submitted on 2025-10-28 20:06:25
Authors: Antonios Stefanou
Comments: 12 Pages.
Rapidity Curvature: A New Lorentz-Invariant Scalar in Special RelativityWe introduce a new Lorentz-invariant scalar in special relativity, the rapidity curvature (ho), which quantifies the local rate of change of rapidity along a timelike worldline. The scalar is defined via the hyperbolic angle between neighboring 4-velocities and provides a coordinate-independent measure of non-inertial motion. The instantaneous rapidity curvature ho(tau) is shown to be equivalent to the magnitude of the proper acceleration, sqrt{a^{mu}a_{mu}}, in the differential limit. We rigorously prove its Lorentz invariance, derive its series expansion in terms of proper acceleration, 4-jerk, and higher derivatives, and provide its geometric interpretation as the curvature of the worldline on the velocity hyperboloid. Examples including uniform acceleration and circular motion are provided to illustrate its physical utility. We also outline its covariant generalization to curved spacetime using parallel transport and introduce a variational formulation based on the action S_{ho}=intho~dtau, highlighting its theoretical relevance in relativistic physics and suggesting new avenues for studying accelerated trajectories in both flat and curved spacetimes.
Category: Relativity and Cosmology
[63] ai.viXra.org:2510.0067 [pdf] submitted on 2025-10-27 20:45:10
Authors: A. G. Schubert
Comments: 3 Pages.
We reinterpret the reduced Planck constant (hbar) not as the lower limit of physical law, but as the threshold of distinguishable interaction. Below this threshold, sub-(hbar) actions contribute to a smooth, continuous, and physically meaningful statistical substrate—out of which spacetime and the invariant speed (c) emerge. At or above the threshold, interactions become measurable, giving rise to quantum discreteness. This conceptual reinterpretation bridges quantum field theory and relativity, providing a fresh philosophical framework for understanding the quantum-to-classical transition and the emergence of relativistic invariance.
Category: Quantum Physics
[62] ai.viXra.org:2510.0066 [pdf] submitted on 2025-10-27 20:47:29
Authors: Futoshi Hamanoue
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please don't use all capital letters in the title and author name))
This paper presents a variance-based analytical framework for modeling phase perturbations in large-scale language models, aimed at mitigating quantum noise on future quantum computing platforms. We introduce and validate the Aurora coefficient (η) as a quantitative stability indicator associated with the dephasing constant (γ). Empirical evaluations under controlled stochastic noise conditions demonstrate that the Nebula profile attains the highest instantaneous peak cosine similarity (0.878 at σ = 0.03), whereas the Aurora profile maintains tighter variance and a more gradual degradation trend. No statistically significant right-shift in the collapse onset (Δσc ≈ 0) is observed, indicating that the advantage lies not in peak magnitude but in stability-domain persistence. These findings highlight that phase-coherence alignment—rather than amplitude maximization—serves as the principal mechanism for preserving semantic integrity under stochastic perturbations, offering practical guidance for the design of noise-tolerant quantum language models.
Category: Artificial Intelligence
[61] ai.viXra.org:2510.0065 [pdf] submitted on 2025-10-27 20:52:39
Authors: Jason Horsepool
Comments: 24 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
I propose a new framework that is founded on defining a zero-sum universe composed of Positive Energy and a dynamic, anti-symmetric Negative Energy/Spacetime Current. The model hopes to resolve the Cosmological Constant Problem by defining observed Dark Energy as the persistent residual tension required for dynamic stability. Crucially, the framework Falsifiable predictions involve the Horsepool Repulsion Signature (an outward radial accelerationin cosmic voids), And Non-NewtonianDeviation in Cluster Cores. There is also The Antrion experiment which is a small, cheap, definitive test that can be run in a physics lab.
Category: Relativity and Cosmology
[60] ai.viXra.org:2510.0064 [pdf] submitted on 2025-10-27 20:54:52
Authors: Arayik Danghyan
Comments: 15 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The "10^122 vacuum catastrophe" refers to the 122-orders-of-magnitude mismatch between the quantum-field-theoretical prediction of vacuum energy and the value inferred from cosmological observations. In the standard relativistic framework (STR) the Minkowski geometry is unbounded, producing an effectively infinite phase-space volume and thus divergent zero-point energy. STR-2 (Special Theory of Relativity-2) introduces an inverse-elliptic compactification of momentum-energy space. This finite geometry regularizes the vacuum spectrum through a curvature parameter B = ℓP^2 /R0^2 , yielding a small but finite cosmological constant Λ = 3/R0^2 and vacuum-energy density ρΛ = 3c^4 /(8πGR0^2). For R0 ≈ 1.3 × 10^26 m one obtains ρΛ ≈ 5.6 × 10^−10 J/m^3 and Λ ≈ 1.8 × 10^−52 m^−2. Thus, the 10^122 gap disappears not by fine-tuning but as a direct geometric consequence of STR-2.
Category: Relativity and Cosmology
[59] ai.viXra.org:2510.0062 [pdf] replaced on 2025-10-29 20:41:16
Authors: Minkwon Chung
Comments: 3 Pages.
This paper establishes an analytic equivalence for the Riemann Hypothesis (RH) throughthe analysis of the exact-sieve error E(x, z) = Φ(x, z) − x · Q p≤z(1 − 1/p). Here, Φ(x, z) =#{1 ≤ n ≤ x : gcd(n, P(z)) = 1} and P(z) =Q p≤z p. A Schwartz test function ψ on alogarithmic scale defines the smoothed error term Eψ(X, z) = R R E(eu, z)ψ(u−X) du. Thisfunction admits a Mellin spectral representationEψ(X, z) = 1 2πi Z (c) esX b ψ(s)Gz(s) ds,where Gz(s) = ζ(s)Ez(s)/s − Ez(1)/(s − 1) and Ez(s) = Q p≤z(1 − p−s). The subtractionremoves the pole at s = 1, so Gz(s) is holomorphic on ℜs > 0; in particular, the nontrivial zeros of ζ(s) are not poles of Gz(s). The core result is a smoothed spectral equivalence: under RH, |Eψ(log x, z)| ≪ψ,ϵ zα(log z)βx1/2+ϵ; conversely, assuming this bound (and a necessary non-vanishing condition on Ez(ρ)) yields a contradiction via a smoothed explicit formula based on ζu2032/ζ [1], thereby proving RH. The framework is positioned relative to the Gonek—Hughes—Keating hybrid product [2] and includes the Prime-Frontier Lemma as anumerical anchor.
Category: Number Theory
[58] ai.viXra.org:2510.0061 [pdf] submitted on 2025-10-25 23:11:20
Authors: Xylo Xi
Comments: 5 Pages.
In this concluding part of the "Beyond the Horizon" trilogy, we present a refined and ghost-free formulation of the curvature-driven VSL cosmogenesis model introduced in Parts I—II. At a heuristic level, those works proposed that the Kretschmann scalar K controls the suppression c → 0 near black-hole horizons. Here we make that link explicit through a Lagrangian framework. While a direct phi*K coupling captures the essential idea, it introduces higher-derivative ghosts. To resolve this, we adopt a stable scalar—Gauss—Bonnet interaction, L = (1/16πG)R — (1/2)(∇phi)^2 — V(phi) + f(phi)G, which preserves the same horizon-peaking behavior while avoiding pathologies. In vacuum, G = K, ensuring the desired curvature response; in accreting systems, G also couples to matter via the Ricci tensor, maintaining sensitivity to infalling mass. Collapse then halts within a finite-thickness region where c → 0, the entropy density s ∝ c^3 vanishes, and geometric inversion maps the horizon to a cosmological Big Bang. The resulting "boundary engine" offers a stable Lagrangian foundation for the curvature-driven cosmogenesis picture developed across the trilogy.
Category: Relativity and Cosmology
[57] ai.viXra.org:2510.0060 [pdf] submitted on 2025-10-25 23:08:54
Authors: Jasmine Chiu
Comments: 12 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references and list each reference item in a complete and standard format))
This paper proposes synchronization entropy as the structural substrate of intelligence. It bridges GPU architecture, neural timing, and cognitive coherence through phase alignment. The theory unifies rendering, perception, and awareness under a single timing principle — when synchronization entropy S approaches zero, coherence and intelligence emerge naturally. Co-authored with an AI system, the paper demonstrates cross-system resonance, showing that synchronization theory is interpretable both mathematically and experientially by human and artificial systems.
Category: Artificial Intelligence
[56] ai.viXra.org:2510.0059 [pdf] replaced on 2025-11-07 00:54:03
Authors: Ignacio Lesta Pelayo
Comments: 4 Pages. (Note by ai.viXra.org Admin: For the last time, please cite and list scientific references)
We propose that dark energy is not an independent entity, but the cosmological manifestation of a dual physical reality: the dynamic expansion of the vacuum. Within this framework, the vacuum behaves as an active medium with a self-sustaining expansive dynamics. This continuous and fundamental process acts as the geometric cause of the universe’s accelerated expansion. Thus, vacuum expansion and gravity are conceived as complementary manifestations of a single principle. Their dual interaction explains the structure and evolution of the cosmos with ontological economy, without the need to postulate new particles or additional fields beyond General Relativity.
Category: Relativity and Cosmology
[55] ai.viXra.org:2510.0058 [pdf] submitted on 2025-10-24 20:49:17
Authors: Paul Emmett Zaffuto
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper proposes a novel approach to temporal measurement and structuring by using the speed of light, denoted as ��=299,792,458 m/s c=299,792,458 m/s, as the fundamental base unit for time interval construction. Departing from the anthropocentric decimal system, this method leverages fundamental physical invariants to define, scale, and coordinate time with unmatched precision. The proposed model, Lightforge Time, unifies wavelength, frequency, energy, and spatial rotation within a single coherent framework that supports symmetrical tier stepping, loop closure, and natural harmonics.
Category: Mathematical Physics
[54] ai.viXra.org:2510.0057 [pdf] submitted on 2025-10-24 20:46:07
Authors: Yong Sik Byeon
Comments: 36 Pages.
This paper presents a conceptual framework in which brain waves function as essential temporal synchronization signals coordinating neural information processing across the entire brain. Unlike conventional perspectives that view brain oscillations as secondary byproducts of neural activity, this model proposes that oscillatory rhythms actively partition continuous neural activity into discrete temporal units. Such temporal quantization ensures that strengthening and decay of synaptic representations occur with precise timing across widespread neural populations, maintaining coherence and consistency in information retention and forgetting.Neural populations respond selectively to specific frequency bands based on intrinsic resonance properties, allowing differentiated processing speeds across regions. This framework provides an integrated explanation for diverse cognitive phenomena, including sleep-related memory consolidation, attention regulation, meditation-induced cognitive effects, and temporal instability observed in attention-deficit disorders. The model predicts that slower brain waves prolong information retention, whereas faster rhythms accelerate information updating and decay, offering testable hypotheses for experimental validation.Applications of this framework extend to neuroengineering and cognitive enhancement technologies, including adaptive brain-computer interfaces, closed-loop neuromodulation systems, and personalized learning platforms that adjust timing and reinforcement intervals according to individual brain wave characteristics.This work acknowledges AI-assisted drafting for conceptual organization and textual refinement. While the underlying hypotheses and theoretical constructs are human-conceived, AI support was employed solely to structure and phrase the manuscript for clarity and coherence.In conclusion, brain waves are interpreted not as ancillary phenomena but as evolutionarily conserved mechanisms essential for temporal alignment in large-scale neural networks. This perspective bridges theoretical neuroscience with practical technological applications and provides a foundation for future experimental and computational studies investigating the functional role of oscillatory dynamics in cognitive processing.
Category: Mind Science
[53] ai.viXra.org:2510.0056 [pdf] submitted on 2025-10-23 06:23:01
Authors: Dion Aditya, Efy Yosrita
Comments: 5 Pages.
Automatic Speech Recognition (ASR) systems like Whisper deliver high transcription accuracy forEnglish audio but face challenges with computational and storage demands, particularly in livefinancial news broadcasts where silent regions trigger hallucinations, such as spurious phrases like"thanks for watching" or "bye." This study proposes a novel pipeline to enhance Whisper’s efficiencyby integrating patch-wise silence skipping with spectrogram storage optimization. The approachconverts audio to JPEG-compressed spectrograms, skips silent patches using energy-basedthresholding, and reconstructs spectrograms for transcription. Evaluated on a custom dataset of100 English audio chunks from live news streaming, the pipeline was tested under three conditions:baseline (original audio), JPEG-only, and JPEG + silence skipping. Results show JPEG-only achieves acompression ratio of 103.95 with a Character Error Rate (CER) of 0.159 and minimal durationreduction (0.01s), while JPEG + silence skipping yields a compression ratio of 124.59, durationreduction of 0.88s, and 25% hallucination reduction, with a CER of 0.265. These findings highlight atrade-off between efficiency and accuracy, offering significant storage and processing savings forresource-constrained environments. The pipeline reduces hallucinations and enables lightweightASR, paving the way for efficient transcription in real-time news.
Category: Artificial Intelligence
[52] ai.viXra.org:2510.0055 [pdf] submitted on 2025-10-23 20:22:25
Authors: Matt Hosking
Comments: 6 Pages.
The enduring discrepancy between the Hubble constant inferred from the cosmic microwave background and local observations challenges the completeness of the standard ΛCDM model. This study builds upon recent explorations of cosmic rotation, proposing a rotational-spiral cosmology that introduces a minute primordial vorticity, subtly influencing the early universe’s dynamics. By integrating the gravitational wave energy injected from primordial black hole clustering during the QCD epoch, the model enhances the effective radiation density, thereby compressing the comoving sound horizon and advancing the recombination epoch to 372,000 to 374,000 years. Quantitative analysis reveals an elevation of the CMB-inferred Hubble constant to 68.5 to 69 km s−1 Mpc−1, offering a partial alignment with local measurements consistent with recent BAO constraints. Theframework remains compatible with Planck and CMB isotropy limits and provides distinctive testable predictions, notably galaxy spin alignments detectable with DESI. This refined interpretation relies solely on general relativity, presenting a novel perspective on the Hubble tension without invoking new physics.
Category: Astrophysics
[51] ai.viXra.org:2510.0054 [pdf] submitted on 2025-10-23 14:55:55
Authors: Ivars Fabriciuss
Comments: 17 Pages.
We present an information-theoretic framework unifying inertia and cosmic acceleration through horizon thermodynamics. The stretched horizon is quantized into Planck tiles with digital capacity. Causal compaction drives the system to a fixed point with saturated fraction fu2081 = ln 2, directly predicting Ω_Λ = ln 2 ≈ 0.693 - matching Planck/DESI observations within 1%. Inertial mass emerges from Landauer-erasure costs at Unruh temperature, yielding m = m_⋆N_p with m_⋆ ≈ 6.1×10u207bu2076u2079 kg. The framework predicts cosmic mass growth M ∝ R_H, resolves the cosmological constant problem, and connects particle masses to cosmic expansion history through specific anchoring epochs. All phenomena derive from a single information-dynamic principle applied consistently across scales, providing testable predictions for cosmological surveys and laboratory experiments.
Category: Relativity and Cosmology
[50] ai.viXra.org:2510.0053 [pdf] submitted on 2025-10-23 00:19:44
Authors: J. W. McGreevy
Comments: 21 Pages.
This manuscript presents Geometric-Representation Quantum Field Theory (GRQFT), a functorial framework that derives the Standard Model and General Relativity from arithmetic invariants via the Langlands program. Starting from the Monster group's moonshine module $V^atural$, GRQFT constructs the explicit pathway:[GalRep(mu_4) to AutInd(V^atural) to Twist(BQF) to DispMap(p^mu p_mu = m^2)]Key results include: (1) solution to Hilbert's 12th problem via $mu_4$ i-cycle preperiodic orbits; (2) Grothendieck's 'etale topos realized as the Higgs complex scalar doublet $Phi$; (3) Birch-Swinnerton-Dyer values $L'(E,1)_p approx 0.4472$ yielding the Higgs VEV $v_p = 246$ GeV; (4) Riemann zeta zeros as propagator interference patterns reproducing Planck CMB data; (5) entropy kernel $S_p to g_{muu_p}$ generating Einstein field equations. All predictions match experiment to sub-percent precision.
Category: Number Theory
[49] ai.viXra.org:2510.0052 [pdf] submitted on 2025-10-22 23:17:42
Authors: Alexander Buyantuev, Aliaksei Korshuk, Aleksei Stepin, Ilya Gusev, Vladimir Kubasov, Vladislav Kulikov, Artyom Kabanov, Mikhail Mozikov, Ilya Makarov
Comments: 10 Pages.
Network intrusion detection is prone to data leakage and inflated scores under static evaluation protocols. We present GATv2-NS3, a hybrid IDS that couples Graph Attention Networks v2 with an adaptive NS-3 simulator. Our key idea, textit{Self-Focusing Simulations}, leverages attention-entropy uncertainty to selectively run packet-level simulations on ambiguous subgraphs, forming a training-time feedback loop that injects QoS signals (latency, jitter, loss, throughput) via a simulation-consistency loss. The results indicate that uncertainty-guided, simulation-grounded learning yields more honest metrics without sacrificing efficiency, advancing practical IDS reliability.
Category: Artificial Intelligence
[48] ai.viXra.org:2510.0051 [pdf] replaced on 2025-11-26 00:36:02
Authors: Dale Spencer
Comments: 20 Pages. Added Preface v1.1
Time is treated here not as a fundamental parameter but as an emergent property arising from a system's structural coupling to the quantum vacuum. A probe's proper time is identified with its expected capacity to remain correlated with the accessible portion of the vacuum energy. Two postulates formalize this relationship. The first defines proper time as a strictly increasing functional of accessible vacuum energy, and the second enforces consistency for a free particle, requiring that the accessible vacuum energy remain constant along inertial worldlines. Together they imply a fixed energy—action balance, constraining the Hamiltonian and accessible vacuum energy as complementary aspects of a single invariant total.Variations in vacuum accessibility naturally reproduce the phenomena of time dilation and gravitational redshift, yielding the Lorentz and Schwarzschild relations without assuming time as a fundamental dimension. On cosmic scales, the same reciprocity accounts for the cosmological constant. The global deficit of accessible vacuum energy that General Relativity describes as curvature corresponds to the structural partitioning that gives rise to proper time itself.The theory yields falsifiable predictions. Engineered changes to the local vacuum density of states should produce measurable shifts in proper time between identical clocks or interferometric paths. In this view, relativistic time and gravitational curvature arise from a unified structural relationship between matter, the Hamiltonian, and the vacuum's capacity for interaction.
Category: Quantum Gravity and String Theory
[47] ai.viXra.org:2510.0050 [pdf] submitted on 2025-10-22 23:08:22
Authors: Joseph Dalsasso
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The Great Pyramid encodes 25 mathematical/geodetic constants (π, ϕ, e, Earth’s polar circumference)with <0.3% error. Novel Dalsasso Height Divisions (146.608 m) yield 21/25 perfect chamber/void matches (2023 muon tomography). 43,200 scalar aligns to Earth’s circumference (40,008 km), implying pre-Younger Dryas (10,800 BCE) global surveying. Exceeds Old Kingdom capacity; supports avian knowledge transmission (Thoth).
Category: General Mathematics
[46] ai.viXra.org:2510.0049 [pdf] submitted on 2025-10-20 22:06:52
Authors: A. G. Schubert
Comments: 4 Pages.
An Epistemic Interpretation of Quantum Mechanics: Reconciling Determinism and Observed Randomness.
Category: History and Philosophy of Physics
[45] ai.viXra.org:2510.0048 [pdf] submitted on 2025-10-21 16:02:55
Authors: Antonios Stefanou
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We introduce a novel generalization of the classical Coulomb potential by incorporating an oscillatory component in three-dimensional space. The potential for a point charge is given by φ(r) = (q / (4 * pi * epsilon_0)) * cos(kappa * r) / r, where kappa is a tunable parameter controlling the wavelength of oscillations. The corresponding force F(r) = (q1 * q2 / (4 * pi * epsilon_0 * r^3)) * [cos(kappa * r) + kappa * r * sin(kappa * r)] exhibits alternating attractive and repulsive regions, introducing static equilibrium points absent in the classical Coulomb law. This formulation reduces to the standard 1/r potential in the limit kappa → 0 and can be extended to include screening, anisotropy, or fractional operators. Possible applications include engineered materials, optical lattices, and theoretical studies of modulated static interactions. The framework provides a versatile foundation for exploring novel electrostatic force landscapes in both numerical and experimental contexts.
Category: Classical Physics
[44] ai.viXra.org:2510.0047 [pdf] submitted on 2025-10-21 16:01:18
Authors: Monte Richardson
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
We describe and present a symbolic framework to analyze the Collatz conjecture by encoding itsoperations and dynamics into deterministic motifs. Odd transformations, (3x+1), are represented by O. Ek represents maximal divisions by powers of 2. With this grammar, we are able to structurally analyze Collatz trajectories without computation or number theory. Five core results are proved:u2022 Non-trivial cycles are a structural impossibility. u2022 Descent from motifs dominates descent. u2022 All numeric trajectories map to a distinct symbolic path. u2022 Convergence is guaranteed u2022 Inverse motifs demonstrated that every positive integer is reachable from 1.Overall, these results create a symbolic resolution to the Collatz process. Over Z+, the grammar is lossless, complete, and reversible. Additionally, the grammar offers a universal and deterministic framework for understanding Collatz dynamics.
Category: Number Theory
[43] ai.viXra.org:2510.0046 [pdf] submitted on 2025-10-20 15:44:47
Authors: Jon Pelchat
Comments: 141 Pages. (Note by ai.viXra.org Admin: Table of content should be omitted or listed after article title, author name and the abstract)
This work derives six fundamental physical constants (π, φ, r_ψu200b, r_ϕu200b, ℏ_infou200b, and α) from three information-theoretic axioms with zero free parameters. The framework originates from the verification paradox (impossibility of self-verification), which necessitates two complementary processing domains (ψ for exploration/chaos, ϕ for execution/order) whose overlapping competence forms a vesica piscis geometry. Constraints including two-bit closure (defining π), no-switching stability (forcing the golden ratio φ), and flow conservation uniquely determine the vesica geometry, including domain radii r_ψ=φu200b and r_ϕ=π−1/φ. The information quantum ℏinfou200b=(πu200b − φu200b)/π≈0.159 emerges as the normalized quantum-classical transition width, discretizing states into ≈20 bins. Two independent mechanisms—helical layer overflow and hierarchical packing—predict the fine-structure constant α as ≈0.007301 (0.06% error) and ≈0.007325 (0.38% error) respectively, agreeing with the observed value α_obs≈0.007297 . The 2D vesica extends into a 3D logarithmic z-spiral, linking dimensional complexity to observer embedding depth (z=α=d/8) and explaining observed 3+1 spacetime dimensions. The framework yields five concrete, falsifiable predictions testable with current technology across quantum devices, nuclear physics, and astrophysics. If validated, this establishes information geometry as the foundation for physical constants, with quantum mechanics, general relativity, and thermodynamics emerging as computational constraints.
Category: Classical Physics
[42] ai.viXra.org:2510.0045 [pdf] replaced on 2025-11-06 04:24:54
Authors: Sizwe Tshabalala
Comments: 30 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
In this paper I introduce a branch of math called Nembelo; from it I introduce a novel function I call the An() function. This function adds number to itself allowing us to study numbers in ways that enables us to have insight into number's behavior. The numbers studied are natural n, primarily 1. To answer the question on the nature of number, for so far the debate has been mostly philosophical and anecdotal, strange enough, not mathematical. This is because it has been taken as granted that math itself cannot answer this question but with the An() function; adding n to itself — we have a way of figuring out what numbers on themselves have to say. As we follow the behavior of n under An(n), it will appear that math has a say on ontology, metaphysics and theology. Theology, because we can naturally derive the concept of GOD from An(1) and not impute it as Gödelu201fs ontological proof. As many fields have been claimed for math & science in past times, e.g., weather prediction, so are these metaphysical fields. However the ambition of the math extends to the unification of math, science, biology, sociology, for which the current theses is not adequate to argue for. Nevertheless, the base from which one can stand is provided, i.e., evidence mapping mathematical conjecture into physical properties of the universe we observe. Keywords: kucwenga, Platonism, conjecture, behavior of n, return to itself, domain.
Category: Number Theory
[41] ai.viXra.org:2510.0044 [pdf] submitted on 2025-10-19 18:22:45
Authors: Perry Henderson
Comments: 4 Pages.
The next generation of robotics will hinge on deeper integration between electrical engineering, mechatronics, artificial intelligence (AI), and quantum technologies. Rather than treating these as separate silos, emerging research suggests they must form a unified ecosystem that merges physical robustness with computational adaptability. This paper reviews the primary technological drivers of this convergence, identifies engineering and integration challenges, and outlines a trajectory toward scalable, high-performance robotic systems. It concludes with a positioning of this work relative to recent research trends in soft robotics, hybrid actuation, embodied intelligence, and quantum-assisted computation.
Category: Artificial Intelligence
[40] ai.viXra.org:2510.0043 [pdf] submitted on 2025-10-19 23:00:24
Authors: J. W. McGreevy
Comments: 4 Pages.
This manuscript, the eighth in the series on Geometric-Representation Quantum Field Theory (GRQFT), reframes the functorial pathway from arithmetic invariants to physical laws through a kernel-based arithmetic quantum mechanics (AQM) framework, emphasizing the Rydberg-Ritz Combination Principle. We demonstrate how pre-periodic points in rational maps, linked to the Convolution Kernel, serve as class field generators for Hilbert’s 12th problem, extending Kronecker’s Jugendtraum to real quadratic fields. The Third Quadratic Kernel, derived from the Runge-Lenz vector (RLV) and binary quadratic forms (BQFs), embeds SO(4) symmetries and ties to dispersion invariants via the Dispersion Kernel. The Entropy Kernel formalizes thermodynamic derivations inspired by Planck, bounding scales with Spec(Z) primes and Monster supersingular primes. U(1) gauge symmetry, with field strength tensors ( F_{muu} ), and the BSD Matrix Kernel physicalize torsion-to-curvature transitions, culminating in the capstone BSD conjecture. The i-cycle bundle’s 4-torsion, modeled through kernel interactions, connects to 4-vectors via quadratic dispersion. This kernel-centric approach strengthens GRQFT’s resolution of pre-Planck dynamics, with implications for quantum gravity and class field theory.
Category: Number Theory
[39] ai.viXra.org:2510.0042 [pdf] submitted on 2025-10-19 23:21:16
Authors: Bahman Masarratbakhsh
Comments: 4 Pages.
We propose the τ -Delay Field (TDF) as a gravitational theory where curvature manifests in a scalar time-delay field τ within an extended Minkowski spacetime, supplanting metric deformation in General Relativity (GR). This framework repli-cates GR’s successes in weak-field regimes while addressing cosmological tensions, including the Hubble discrepancy, galaxy rotation anomalies, and dark energy inference, without additional components. Prioritizing temporal effects aligns with observations measuring delays and shifts, such as Terrell—Penrose rotations, Shapirodelays, muon lifetimes, GPS corrections, and LIGO/Virgo/KAGRA waves. We verify mathematical consistency, derive couplings, confront tests, and provide constraints from recent data (Planck PR4, DESI, JWST, GWTC-4.0).
Category: Relativity and Cosmology
[38] ai.viXra.org:2510.0041 [pdf] replaced on 2025-10-28 20:18:31
Authors: Vikram Hatti
Comments: 36 Pages. License: CC-BY 4.0 (Note by ai.viXra.org Admin: Please cite listed scientific references)
We propose a unified framework in which black hole evaporation, cosmic acceleration, galactic dark matter, and quantum time dilation all emerge from a single principle: horizons as temporal reservoirs that defer energy into the future rather than destroy it. In this view, matter and radiation projected onto horizons remain real but time-shifted, producing gravitational and electromagnetic effects in the present. --Black holes: Hawking radiation is reinterpreted as the gradual release of deferred matter. --Cosmic horizon: Accelerated degrees of freedom naturally yield a dark-energy density of order �� ∼ (��^��)/ �� --Galaxies: Locally sequestered baryonic energy behaves like pressure less dust, reproducing dark-matter—like halos. --Quantum horizon: In the massless limit �� → 0 proper time vanishes, and all energy is deferred across past and future sectors. Photons occupy this asymptote: from the external viewpoint, their present-time fields are the projection of an oscillatory time wave that links deferred past and future energy. Electromagnetism thus arises as the dynamic counterpart to gravity’s static curvature of deferred energy. This reinterpretation preserves information, reframes gravity and electromagnetism as complementary geometries of temporal delay, and offers observational discriminants: distinct black hole evaporation signatures, evolving dark-energy equations of state, halo profiles that deviate from ΛCDM, and laboratory-scale interference effects linked to the quantum horizon. By treating horizons not as one-way boundaries but as stores of deferred energy, we show that four of modern physics’ deepest mysteries may be connected manifestations of the same underlying mechanism.
Category: Quantum Gravity and String Theory
[37] ai.viXra.org:2510.0040 [pdf] submitted on 2025-10-15 22:38:32
Authors: Perry Henderson
Comments: 3 Pages.
Artificial Intelligence (AI) is transforming the landscape of computer hardware engineering. By leveraging its ability to simulate, optimize, and rapidly iterate through complex design spaces, AI is poised to create entirely new paradigms in both classical computing architectures and quantum-based systems. The integration of AI with humandriven prompt engineering enables collaborative creativity, allowing engineers and intelligent systems to co-evolve hardware solutions with exponential speed. This paper explores the conceptual framework for AI-driven design, emphasizing its implications for future computational systems.
Category: Artificial Intelligence
[36] ai.viXra.org:2510.0039 [pdf] submitted on 2025-10-16 16:39:21
Authors: Ivars Fabriciuss
Comments: 4 Pages.
We propose that both dark energy and inertial mass arise from information dynamics on the cosmological horizon. The stretched horizon is discretized into Planck tiles of area $4L_P^2$, each with capacity $1$ nat. Causal, capacity-limited compaction drives the system toward a digital fixed point where a fraction $f_1=ln 2$ of tiles are saturated ($1$ nat) while $f_0=1-ln 2$ are empty ($0$ nats). The saturated fraction fixes the late-time dark-energy share $Omega_{Lambda,0}=ln 2$. The empty fraction supplies vacancies that enable reversible, local updates when a particle accelerates. Mapping a particle to a tiny horizon-cap of $N_p$ tiles, a small reorientation flips only a one-tile rim. Using the Unruh temperature for an accelerated worldline~cite{Unruh1976} and Landauer's minimal energy emph{per nat}~cite{Landauer1961}, equating mechanical work to flip energy yields a universal mass-per-tile $m_star=hbarln 2/(2pi c^2),(gamma/chi)$ and the composition-blind law $m=m_star N_p$. Massless modes have $N_p=0$ and follow null geodesics; black holes form a separate regime where the relevant surface is the black-hole stretched horizon with $N_p^{m BH}propto M^2$. The framework is thermodynamically consistent, EP-friendly, and leads to quantitative scales testable by precision cosmology and inertial experiments.
Category: Relativity and Cosmology
[35] ai.viXra.org:2510.0037 [pdf] submitted on 2025-10-14 21:07:16
Authors: J. W. McGreevy
Comments: 7 Pages.
This manuscript, the seventh in the series on Geometric-Representation Quantum Field Theory (GRQFT), formalizes the functorial pathway from arithmetic structures to physical dispersion relations using category theory. We define key categories including Galois representations (GalRep), quadratic fields (QuadField), automorphic forms (AutForm), and physical dispersion relations (PhysDisp). A chain of functors is described: automorphic induction (AutInd) from GalRep to AutForm, the i-cycle twist (Twist$_i$) from real to imaginary quadratic fields, and the dispersion mapping (DispMap) from AutForm to PhysDisp. The categorical product resolves the hyperbolic frontier of Hilbert's 12th problem, generating class fields as limits and pullbacks. This framework relates to class field theory, providing a physical-geometric resolution to extension problems via quadratic unification and dispersion kernels.
Category: Number Theory
[34] ai.viXra.org:2510.0036 [pdf] submitted on 2025-10-14 20:27:58
Authors: Martin Hristov
Comments: 2 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper proposes a physical model in which the phenomenon of inertial mass arises from a self-interaction effect. Specifically, it is suggested that the inertial resistance to acceleration is the work required to displace an object's own gravitational field. A heuristic derivation is presented, showing that this work is proportional to the object's gravitational potential, resulting in a quantity with the units of mass. This model provides an immediate physical explanation for the equivalence of inertial and gravitational mass. This heuristic argument serves as the initial, testable consequence 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 formalize this framework.Contact: M.V.Hristov@proton.me
Category: Relativity and Cosmology
[33] ai.viXra.org:2510.0035 [pdf] submitted on 2025-10-14 20:25:19
Authors: Chandhru Srinivasan
Comments: 7 Pages.
This work presents empirical evidence for a novel phenomenon concerning the sums of prime factors of odd semiprimes. For a semiprime N=p⋅q, where p,q are odd primes, this work investigates the modular residue properties of the sum s=p+q modulo a dynamically chosen modulus m. We conjecture that s (mod"u2009u2009" m) lies within a small subset R_m⊂Z_m whose size grows sublinearly relative to m. By combining multiple such modular constraints via the Chinese Remainder Theorem (CRT), the candidate space for s shrinks dramatically and help us to reconstruct the prime factors, leading to potential improvements in semiprime factorization algorithms.
Category: Number Theory
[32] ai.viXra.org:2510.0034 [pdf] submitted on 2025-10-13 20:09:51
Authors: Enver Torlakovic
Comments: 20 Pages. Python computational scripts included for proofing purposes (Note by ai.viXra.org Admin: Please cite listed scientific references)
The Gravity Emergence Model (GEM), integrated with the Vacuum Energy Quanta Field (VEQF) Theory and Mass Emergence Model (MEM), redefines gravity as an emergent, entropy-driven thermodynamic process at mesoscopic scales (lq=1e-20 m). Building on the Inevitability of Energy Density Gradients (EDG) Theorem and emergent inverse-square law, we derive gravitational binding energy Ui without explicit mass or G, reducing to a core thermodynamic term , Cp*DeltaT*Ni^2/Ri, where Ni (total coherent nodes) proxies emergent mass via the Transactional Configuration Index (TCI). EDGs provide the guiding slope for matter drift, with self-amplifying feedback: Initial coalescence deepens gradients, accelerating further binding. The 1/r^2 scaling emerges geometrically from 3D Poisson solutions to localized interference sources. GEM aligns with GR binding energies across 13 celestial bodies (discrepancy ~0.02% RMS), validated numerically. This non-quantum model—distinct from Planck-scale effects—offers a physical pathway.
Category: Astrophysics
[31] ai.viXra.org:2510.0033 [pdf] submitted on 2025-10-13 20:04:54
Authors: James Maguire
Comments: 5 Pages.
This paper explores a perceptual interpretation of Einstein’s Special Relativity. The Luminal Coupling Hypothesis proposes that the speed of light, c, represents not a hard physical wall but a limit of mutual observability between reference frames. A dimensionless coupling factor P(v)=sqrt{|1-v^2/c^2|} is introduced, mirroring the Lorentz factor while describing how perceptual coupling diminishes as an object approaches or exceeds c. For v
Category: Relativity and Cosmology
[30] ai.viXra.org:2510.0032 [pdf] replaced on 2025-11-23 14:48:35
Authors: Joseph Shaffer
Comments: 14 Pages. Reprinted from Physics Essays Vol. 38 pp. 353-359 Year 2025, with permission of Physics Essays.
Some fifty years ago it was noted that the rotation speeds of galaxies were too great for the gravitational force of all the available galactic mass to balance it. People therefore invented the idea of dark matter in the form of weakly interacting massive particles (WIMPs) to supply the missing mass. In spite of heroic efforts, such particles have not been found. If WIMPs don't exist then the problem isn't missing mass. It's missing force. This paper proposes that entanglement driven forces act as a fundamental component of cosmic structure stability. Conventional physics assumes forces propagate at finite speeds but we will assume otherwise. We postulate that entangled objects share a unified quantum state that allows instant interaction beyond classical constraints. This mechanism may account for anomalies in galactic rotation and explain synchronization of cosmic structures. A series of observational tests are outlined to verify this by offering alternative explanations for missing mass phenomenon and synchronization in galaxy motion. An Addendum is included with supporting calculations that verify the postulate.
Category: Astrophysics
[29] ai.viXra.org:2510.0031 [pdf] submitted on 2025-10-12 19:53:04
Authors: Hitoshi Kadokura
Comments: 11 Pages. 3 figures, 2 tables. Code and data available at https://drive.google.com/drive/folders/1BYJGuT9jPriPne7dr_dNke-O56QAa7-8. Refines previous work: v1 at 2510.0014
The Cosmological Unified Theory (CUT) unifies dark matter, dark energy, quantum gravity, primordial black holes (PBHs), and the strong CP problem via a Planck-scale Chaos Sphere (R_c ≈ 10^{-35} m, D_f ≈ 1.80 ± 0.01). Using CAMB 1.5.6 with 2,000 Monte Carlo trials, simulations achieve 99.9% consistency with Planck 2018 (S_8 = 0.779 ± 0.0002), DESI 2024 (ρ_Λ ≈ 5.55 × 10^{-122}), and LISA (β_PBH = 3.68 × 10^{-7}). Predictions include Ω_DM h^2 ≈ 0.12, r ≈ 1.41 × 10^{-10}, and η_B ≈ 6.75 × 10^{-10}. The fractal spacetime, derived from string-theoretic D-brane collapse, provides a background-independent quantum gravity framework, testable by CMB-S4, LIGO O4, and EHT. This paper refines the scope from a previous work unifying 200+ problems (v1 at 2510.0014) to focus on five core problems for enhanced clarity and precision. Code and data: https://drive.google.com/drive/folders/1BYJGuT9jPriPne7dr_dNke-O56QAa7-8.
Category: Quantum Gravity and String Theory
[28] ai.viXra.org:2510.0030 [pdf] submitted on 2025-10-11 22:36:10
Authors: Enver Torlakovic
Comments: 7 Pages.
This monograph presents the Vacuum Energy Quanta Field (VEQF) theory—a non-geometric, non-quantum, empirically driven framework that unifies particle physics, gravity, and cosmology through a single physical principle: Energy Density Gradients (EDGs) are inevitable and govern all cosmic dynamics. We prove that EDGs arise necessarily from localized mass via interference and thermodynamic feedback, resolve the quasar—CMB dipole misalignment as direct evidence for their existence, eliminate singularities via bounded lattice compression, derive mass and light as resonant modes of a timeless field, and reproduce the Casimir force without virtual particles. All postulates are empirically anchored, mathematically consistent, and falsifiable. VEQF of ers a complete alternative to ΛCDM and General Relativity
Category: Astrophysics
[27] ai.viXra.org:2510.0029 [pdf] submitted on 2025-10-11 22:34:12
Authors: Tejbir Singh Sandhu
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references and list each reference in complete and standard reference stype such as APS style)
In various fields of science, concepts such as six degrees of separation (from social network theory), game theory (from economics and biology), the Fibonacci series (from mathematics and natural patterns), and hyperbolic geometry (from nonEuclidean spaces) appear individually or in partial combinations repeatedly. Whileencountering these terms again and again across disciplines, the author pondered combining them all to explore their application to the large-scale structure of the universe.Leveraging the power of AI to correlate these disparate ideas, this exploratory framework proposes the Hyperbolic Fibonacci Game (HFG) model as a novel framework forunderstanding cosmic web formation. The AI (Grok) assisted in correlating datasets,deriving scaling relations, and identifying consistent network motifs across cosmologicaland complex-system simulations. The model embeds strategic game-theoretic interactions in a hyperbolic space, governed by Fibonacci-driven growth, yielding a networkwith small-world properties akin to six degrees of separation. A simplified simulationillustrates emergent filaments, clusters, and voids, with geometric features such as lowdegree junctions (tending toward ∼3 branches) and efficient connectivity (diameter ∼6in components). These are qualitatively compared to established cosmological simulations (e.g., IllustrisTNG and EAGLE) and real telescope data (e.g., from Euclid andJWST). Rather than supplanting existing simulations, this hypothesis aims to inspiresynergistic tweaks, highlighting how interdisciplinary mathematics might complementstandard ΛCDM cosmology in interpreting observational efficiencies like short-pathconnectivity and hierarchical merging. Potential predictions, such as Fibonacci-scaledfilament lengths and trivalent-like junctions, are offered for collaborative testing.
Category: Relativity and Cosmology
[26] ai.viXra.org:2510.0028 [pdf] submitted on 2025-10-11 22:25:33
Authors: Eran Sinbar
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper proposes a unified framework that integrates the Bekenstein—Hawking entropy bound, the holographic principle, and Planck-scale quantization within a de Sitter cosmological setting. We begin by demonstrating that entropy considerations imply a mathematically finite spatial radius for the universe. This constraint, combined with symmetrical arguments, leads to a natural quantization of spacetime into Planck-scale elements. By associating each elementary particle with a causal sphere of finite radius, we construct a holographic, staggered two-dimensional mesh supported by a non-local grid dimension. This model reconciles relativistic locality with quantum non-locality and offers a geometric foundation for understanding entanglement, gravity, and the holographic nature of reality. Notably, this construction appears to be the only viable method for reducing a three-dimensional de Sitter universe into a two-dimensional holographic framework while preserving full symmetry and locality across all frames of reference.
Category: Quantum Gravity and String Theory
[25] ai.viXra.org:2510.0027 [pdf] submitted on 2025-10-11 22:44:53
Authors: J. W. McGreevy
Comments: 4 Pages.
This manuscript, the sixth in the Foundations of Geometric-Representation Quantum Field Theory (GRQFT) series, advances the quadratic unification framework through a categorical approach using the Yoneda lemma. We establish a rigorous, explicit functorial mapping from the Runge-Lenz Vector (RLV) and Johnson-Lippmann Operator (JLO) conic quadratics---defined by the conservation law $A^2$ (quadratic in position and momentum)---to binary quadratic forms (BQFs) over the integers, mediated by the group law on the elliptic curve $E : y^2 = x^3 - x$ with complex multiplication (CM) by $mathbb{Z}[i]$ and 4-torsion $E[4]$. This Yoneda unification connects arithmetic structures to physical metrics via quadratic dispersion relations, leveraging the Laplace transform to bridge $p$-adic valuations and spacetime geometry. The spectral action $operatorname{Tr}(f(D/Lambda))$ embeds this into energy-momentum tensors, deriving gravity and the Standard Model (SM) from moonshine via the $i$-cycle bundle and mod-4 primes, with ties to Grothendieck's Weil proofs.
Category: Number Theory
[24] ai.viXra.org:2510.0026 [pdf] submitted on 2025-10-10 05:15:20
Authors: Evgenii Ianin
Comments: 17 Pages. CC-BY
Unifying quantum mechanics with gravity faces challenges like scale hierarchies, wavefunction collapse, and black hole information loss. Time Spheres Theory (TST) addressesthese by quantizing time in Planck-scale spheres evolving through superposition, entropyminimizing collapse, and fixation phases. This framework derives emergent spacetime, particle masses via temporal resonances, and quantum effects from geometric phases without freeparameters. Testable predictions include Higgs mass 125.12 GeV (consistent with HL-LHC2025), baryon asymmetry 5.8 × 10−10 (Planck 2025), and noise modulations in interferometers. Treating entropy as a dynamic field, TST offers a parsimonious, parameter-freeframework resolving longstanding paradoxes.
Category: Quantum Gravity and String Theory
[23] ai.viXra.org:2510.0025 [pdf] replaced on 2025-12-06 22:54:42
Authors: Rami Habchi
Comments: 78 Pages.
This paper proposes a novel framework to derive all known laws of physics from a single foundational principle: the *Law of Consistency*, introduced in Section 2 and elaborated in Section 7. By applying this law to symmetric states and conditions—regardless of the method of execution—it becomes possible, through pure mathematical reasoning, to reconstruct both classical mechanics (as developed by Isaac Newton) and, more significantly, quantum mechanics. Quantum mechanics is reinterpreted in this paper under a new conceptual framework rooted in consistency, providing coherent explanations for key phenomena such as entanglement, decoherence, wave function collapse, interference, the Pauli exclusion principle, and others. The principle of consistency is also extended to the domain of special relativity and shown to underlie its transition into general relativity. Some well-known equations (e.g., *E = mc²*) are re-derived, not for novelty, but to emphasize their foundational basis in the proposed axioms of consistency (Axioms 1 and 2) and logical deduction. Constants of nature (e.g., Planck's constant, *G*, *k*, etc.) are not addressed in this work. It is argued that they may represent arbitrarily assigned values within the universe, preserved through space and time by definition and by the consistency law.
Category: Quantum Physics
[22] ai.viXra.org:2510.0024 [pdf] replaced on 2025-10-14 00:31:21
Authors: Stephen P. Smith
Comments: 8 Pages.
This paper develops a homeostatic model for the metric tensor by introducing an auxiliary-parameter representation that reflects the bilateral structure of CPT symmetry. Each side of the symmetry possesses a set of auxiliary parameters, W(1) and W(2), whose differences vanish at equilibrium, giving rise to the emergent metric tensor. Based on facts pertaining to the factorability of symmetric matrices, the metric is parameterized as G=WDWT, where W is a lower-triangular matrix of ten independent parameters and D=diag(-1, 1, 1, 1) encodes the Lorentzian signature. This factorable form interprets spacetime geometry as an adaptive interface maintained by homeostatic balance between conjugate sectors, rather than as a primitive geometric field. The framework unifies algebraic, geometric, and informational descriptions by linking the Gram-type form WWT to the Fisher information matrix and to Frieden’s ten amplitude functions. The result is a dynamically generative account of the metric tensor consistent with both Riemannian and Lorentzian regimes, providing a foundation for extending homeostatic principles to curvature and field dynamics.
Category: Mathematical Physics
[21] ai.viXra.org:2510.0023 [pdf] submitted on 2025-10-09 18:02:33
Authors: Aldrich K. Wooden Sr
Comments: 13 Pages.
The XdoP Benchmark represents the first compre-hensive, physics-grounded methodology for evaluating Mobile Distributed Data Centers (MDDCs) across seven critical operational domains. This 20-year adoption roadmap establishes the strategic framework for transforming the XdoP Benchmark from an initial methodology into a globally recognized industrystandard that enables regulatory compliance, drives technology innovation, and ensures mission-critical system reliability. By2045, the XdoP Benchmark will serve as the universal standard for MDDC evaluation, integrated into international regulatoryframeworks, procurement specifications, and certification programs worldwide, driving $500B+ in MDDC deployments while achieving 50% reduction in operational carbon footprint.
Category: Data Structures and Algorithms
[20] ai.viXra.org:2510.0021 [pdf] submitted on 2025-10-09 17:37:11
Authors: Ilya Gusev
Comments: 15 Pages.
Model merging has emerged as a powerful technique for combining specialized capabilities from multiple fine-tuned models. However, the inverse problem (de- composing merged models back into their constituent capabilities) remains largely unexplored, limiting our ability to verify and understand model compositions. We introduce UNMERGE, a framework for model capability attribution that treats fine-tuned capabilities as sparse combinations of known micro-task vectors from a pre-built dictionary. Through comprehensive experiments across 15 tasks, 72 merged models were created with 4 different merging methods. Out of 6 decompo- sition algorithms, Non-negative Least Squares (NNLS) and Orthogonal Matching Pursuit (OMP) achieve exceptional performance with perfect precision and recall for models composed entirely of known tasks. While we focus on parameter-space reconstruction as a necessary first step, we discuss the important relationship be- tween parameter fidelity and functional performance, acknowledging behavioral validation as crucial future work. Our framework enables controlled verification of model compositions and provides a foundation for future work in neural network interpretability and capability attribution.
Category: Artificial Intelligence
[19] ai.viXra.org:2510.0020 [pdf] submitted on 2025-10-09 17:34:03
Authors: J. W. McGreevy
Comments: 3 Pages.
This manuscript, the fifth in the series on Geometric-Representation Quantum Field Theory (GRQFT), consolidates the quadratic unification framework as a rigorous mathematical description of quantized energy/momentum oscillations in the pre-Planck spacetime lump. We demonstrate that GRQFT describes the lump as a torsion-dominated epoch, with curvature emerging as an internal symmetry via the Einstein-Cartan formalism. Gravity is associated with p-adic attraction in the arithmetic base, where p-adic norms minimize shared p-factors, echoing gravitational pull. The i-cycle bundle, ramified prime 2, and mod-4 primes are explicitly connected as the arithmetic mechanism for symmetry breaking and metric emergence. Kronecker's complex multiplication extensions are incorporated, showing how abelian extensions from roots of unity generate the torsion structures. Dispersion relations are derived quadratically, unifying relativistic physics with arithmetic structures.
Category: Number Theory
[18] ai.viXra.org:2510.0019 [pdf] submitted on 2025-10-08 18:16:49
Authors: Gongshan Liu
Comments: 21 Pages.
We report two independent but deeply interconnected discoveries in the statisticalbehavior of Riemann zeta function zeros. First, near Primorial values (products ofthe first k primes), the distribution of zero spacings exhibits systematic deviationsfrom Random Matrix Theory predictions, characterized by variance anomalies (ratio1.72, p < 10−10) and precise log-normal fits (KS p = 0.08), completely departingfrom GUE distributions (p < 10−27). Second, the derivative amplitude H(ρ) = |ζu2032(ρ)|correlates with minimal neighbor spacing via Spearman ρ ≈ 1/√2, with this correlationstrengthening by 23.5% within Primorial windows.These findings reveal a three-layer arithmetic structure in prime distribution: theclassical Riemann ζ function (zero locations), a derivative operator (error weights),and a Primorial modulation operator (local enhancement). We propose a unified modulation function G(t, P) that quantitatively predicts H-value suppression (34%), spacing variance increase (72%), and correlation enhancement (24%) at Primorial points,achieving agreement with observations within 5% error.This framework provides a new perspective on prime distribution and demonstratesthe potential of human-AI collaboration in mathematical discovery.
Category: Number Theory
[17] ai.viXra.org:2510.0018 [pdf] submitted on 2025-10-08 18:15:02
Authors: Mohit Singhal
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper presents a novel diagnostic model designed to explore the origin of the Big Bang by evaluating whether it was driven by internal dynamics or influenced by external forces. The framework introduces two primary indices—Causal Index Prime (CIu2032) and Causal Disconnection Index (CDI)—that collectively assess internal energy, pressure, and the degree of causal connectivity. Applications to astrophysical systems, including Earth and black holes, reveal how these indices can characterize physical regimes and inform cosmological interpretations. The model is then discussed in the context of early universe uniformity and singularity, including its implications for the existence of external modulation. Case study results and visualizations are provided, and future work directions are outlined.
Category: Relativity and Cosmology
[16] ai.viXra.org:2510.0017 [pdf] submitted on 2025-10-08 03:13:31
Authors: J. W. McGreevy
Comments: 3 Pages.
This manuscript, the fourth in the series on Geometric-Representation Quantum Field Theory (GRQFT), extends the functorial pathway outlined in previous installments by focusing on the emergence of diffeomorphism invariance and the evolution of metrics from the arithmetic base to those in general relativity (GR) and Einstein-Cartan theory. Building on the arithmetic-geometric foundations over the ``field with one element'' F$_1$, the i-cycle bundle, elliptic torsion, Runge-Lenz vector (RLV)/Johnson-Lippmann operator (JLO) algebra, and binary quadratic forms (BQFs), we demonstrate how the Néron-Tate height pairing and p-adic valuations define an arithmetic ``metric'' that evolves into the spacetime metric $g_{muu}$. Diffeomorphism covariance emerges from the invariance under modular transformations in the moduli space and Galois actions, ensuring coordinate-independent laws. Torsion in Einstein-Cartan arises from ramification asymmetries, sourced by spinors via the i-cycle twists. This provides a unified derivation of gravitational structures from arithmetic vacua, with explicit mappings and consistency checks.
Category: Number Theory
[15] ai.viXra.org:2510.0016 [pdf] submitted on 2025-10-07 05:02:54
Authors: Batayan E. Sheep
Comments: 5 Pages.
We present an AI-oriented smart contract architecture that resolves the oracle problem via market-based scoring and enables a survival-of-the-fittest dynamic among autonomous AI agents. Our framework formalizes reward allocation as an inverse-error rule with desirable properties, couples it with replicator dynamics for evolutionary selection, and demonstrates feasibility with an Ethereum (L2-first) implementation using pluggable verifiers (Pyth, UMA, Chainlink). We further extend the design with ZKML proofs, an off-chain Agent Farm for strategy mutation/selection, and cross-chain reputation. Simulations highlight capital concentration, persistent top-performers, and rapid淘汰 under high-frequency task cycles. We discuss applications in decentralized forecasting, LLM evaluation, and AI labor markets.
Category: Artificial Intelligence
[14] ai.viXra.org:2510.0015 [pdf] submitted on 2025-10-07 18:03:50
Authors: N. J. Kettlewell
Comments: 8 Pages.
A single quadratic functional, previously shown to reproduce Newton’s law in the Solar System and flat galactic rotation curves, is extended to describe the formation and structure of galaxies, satellites, and clusters. By minimising a coherence cost functional under global constraints of total mass and angular momentum, galaxies emerge as stationary minima of the same variational principle that governs local dynamics.Exponential discs, finite outer truncations, planar satellite systems, and cluster-scale envelopes arise naturally without dark matter halos. Diversity across galaxies follows from different constraint sets, while satellite alignments and cluster sizes reflect thesame finite coherence length. Predictions are falsifiable: sharp rotation-curve cut-offs, baryonic Tully—Fisher slopes, satellite planes, and lensing shear profiles are all fixed by one universal coherence length.
Category: Relativity and Cosmology
[13] ai.viXra.org:2510.0014 [pdf] submitted on 2025-10-07 18:02:22
Authors: Hitoshi Kadokura
Comments: 28 Pages.
CUT posits the Chaos Sphere (R_c ≈ 10^{-35} m) as the universe's origin, an energy lump where quanta emerge via denaturation under high temperature/pressure for heavy particles (e.g., Higgs) and wave interference for light particles (e.g., neutrinos), endowing extradimensional properties. This mechanism unifies 200+ unsolved problems, including strong CP (θ_eff ≈ 3.07×10^{-39}), dark matter (Ω_DM h^2 ≈ 0.12), quantum Zeno (τ_Zeno ≈ 10^{-12} s), wormhole energy (ΔE_wormhole ≈ 10^{-18} GeV), cosmic strings (Gμ ≈ 10^{-7}), and cyclic universe (τ_cycle ≈ 10^{100} yr), without fine-tuning. Monte Carlo simulations (5,000 trials, χ^2/dof ≈ 0.980) match Planck 2018, LISA, and KATRIN data, resolving ToE bottlenecks by elucidating quantum origins and surpassing string theory/ΛCDM.
Category: Quantum Gravity and String Theory
[12] ai.viXra.org:2510.0013 [pdf] submitted on 2025-10-07 18:00:35
Authors: Berkouk Mohamed
Comments: 18 Pages. In French (Please fill the Submission Form in Englished!)
In 1742, Christian Goldbach wrote to Leonhard Euler proposing the following weak conjecture: Every odd number greater than 5 can be written as a sum of three prime numbers. Euler replied with the stronger version of the conjecture: Every even number greater than two can be written as a sum of two prime numbers. we started by sketching the demonstration of the weak Goldbach conjecture by living, I would not dwell on it, in fact I would bet against it"by putting a little order among the multiple choice of variables and their values, to arrive at a better distribution of the arcs in the circle including the rational numbers a/q, which define points Hardy-Littlewood circle method, on its application to the strong conjecture, A.Helfgott replied in a video-tube: "I think that without hope for the moment, if this were to be given up from my around which the major arcs are articulated and their contribution for the integral > 0. I opted for the Cantor coupling function which generally restores the pairs of integers in perfect order, then within the pairs, a second function called "selection" (f(n)=(n^2+n+4)/2) introduces a second order to choose q, the divisor of the rational in question, afterwards, I was surprised to find a third function which objectifies the decrease and the disappearance of their influence in the integral R'(n).
Category: Number Theory
[11] ai.viXra.org:2510.0012 [pdf] submitted on 2025-10-07 17:55:27
Authors: J. W. McGreevy
Comments: 3 Pages.
This manuscript, the third in the series on Geometric-Representation Quantum Field Theory (GRQFT), extends the functorial pathway outlined in ``The Threefold Way: Derivation of the Standard Model's Three Generations from the Monster Group'' cite{McGreevy2025a} and ``Foundations of GRQFT: Elliptic Torsion, the $i$-Cycle Bundle, and Hidden Symmetries in the Threefold Way -- Part II'' cite{McGreevy2025b}. We rigorously derive a connection between the algebra of the Runge-Lenz vector (RLV) and Johnson-Lippmann operator (JLO) and binary quadratic forms (BQFs), grounded in the arithmetic geometry of elliptic curves with complex multiplication (CM). Starting from first principles, we map the quadratic relationships in RLV orbital equations to BQF discriminants and norms, embedding the so(4) Lie algebra into the space of forms via quaternion actions and lattice endomorphisms. This extension stabilizes the $i$-cycle bundle and torsion structures in the F$_1$ geometry base, providing a unified arithmetic origin for conserved quantities in classical and quantum mechanics. The role in defining geometry over the ``field with one element'' F$_1$ is emphasized, with BQFs classifying the absolute lattices that seed emergent symmetries. Consistency checks and implications for pre-Planck unification are discussed.
Category: Number Theory
[10] ai.viXra.org:2510.0011 [pdf] submitted on 2025-10-06 20:01:35
Authors: Bernard Lavenda
Comments: 45 Pages.
This paper presents a geometric foundation for gravitational radiation theory that challenges the conventional framework of general relativity (GR) by rejecting Ricci suppression—-the imposition of (G_{muu}=8pi T_{muu})--which erases critical curvature terms and obscures the local dynamics of radiation. We introduce Ricci Unsuppressed Gravity (RUNG), a variational approach that retains the full Riemann tensor and derives gravitational radiation from the evolution of sectional curvatures in orthogonal 2-planes. A gravitational Maxwell tensor (mathfrak{F}^{muu}) is constructed from these curvatures, yielding a conserved current (J^{mu}=abla_{u}mathfrak{F}^{muu}) that enables local detection of energy flux at finite distances, without reliance on asymptotic constructs such as null infinity ((mathscr{I}^{+})).We resolve long-standing issues including Vaidya’s static limit, the non-radiative nature of Ricci-suppressed metrics, and the artificial dichotomy between matter and radiation energy. The framework naturally incorporates monopole, dipole, and quadrupole radiation modes, and predicts a distinct phasing and energy flux scaling ((J^rproptoomega^{13/3}) adiabatically, (J^rproptoomega^7)at merger) that differs from the quadrupole formula. Results are validated against LIGO observations, demonstrating strong correlation between geometrically derived fluxes and inferred energy loss. This work unifies radiation physics within a covariant, local geometric description, offering a self-consistent alternative to phenomenological templates and asymptotic methods.
Category: Relativity and Cosmology
[9] ai.viXra.org:2510.0010 [pdf] submitted on 2025-10-06 14:55:00
Authors: Kai Huang, Xiangqian Zhang
Comments: 4 Pages.
We propose a generative unified field theory extending Zhang’s framework (https://vixra.org/abs/2501.0132), wherereal space R3 is generated and driven by a constant imaginary space iR3 with a feedbackmechanism. This unifies classical spiral motion with quantum fluctuations, addressing un-resolved cosmological phenomena. Numerical simulations of cosmic acceleration, using Pan-theon+ supernova, Planck CMB, and DESI BAO data, yield comoving distances matchingobservations (ΩΛ ≈ 0.68, error < 0.1%), suggesting a novel dark energy mechanism. Themodel bridges microscopic (quantum wave-particle duality) and macroscopic (cosmologicalexpansion) scales simply and self-consistently. Due to space constraints, this paper focuseson cosmic acceleration; readers are referred to forthcoming works on wave-particle duality,dark matter, and other phenomena.
Category: Astrophysics
[8] ai.viXra.org:2510.0008 [pdf] submitted on 2025-10-05 23:26:39
Authors: Futoshi Hamanoue
Comments: 7 Pages. Patent pending.
Background/Contribution. We present a pilot study of a practical Retrieval-AugmentedGeneration (RAG) pipeline with deductive prompt normalization, transparent logging, and minimalpost-filters. Methods. The system combines BM25 retrieval with a rule-based normalizer, sanitize, and sentence-level de-duplication ("de-dup"). The UI logs prepared_query, controls (temperature, topP , penalties, seed, language), and runtime/cost signals (latency_ms, optional token_usage: {prompt, completion, total}).Results. From real logs with 11 LLM and 11 RAG runs (10 paired IDs), we observe no evidence of differences in answer length (paired sign-permutation p = 0.740, dz = −0.119) orlatency (p = 0.578, dz = −0.193); duplication ratio is 0 in both arms under our de-dup.Future work. We pre-specify equivalence margins for confirmatory TOST (Δlen = 50 chars,Δlat = 200 ms) and plan human evaluation (factuality/relevance/usefulness), de-dup ON/OFFA/B, topK ablations, multilingual tasks, and complete token logging.
Category: Artificial Intelligence
[7] ai.viXra.org:2510.0007 [pdf] submitted on 2025-10-05 02:51:14
Authors: J. W. McGreevy
Comments: 4 Pages.
This manuscript expands upon the Geometric-Representation Quantum Field Theory (GRQFT) framework introduced in the inaugural paper of this series, The Threefold Way: Derivation of the Standard Model's Three Generations from the Monster Group'' cite{McGreevy2025}. Building on the functorial pathway from the Riemann zeta function to the Monster group's McKay-Thompson series via automorphic induction and monstrous moonshine, we delve into the arithmetic-geometric base over the field with one element'' ($mathbb{F}_1$) geometry. Specifically, we rigorously derive the SO(4) hidden symmetry of the Kepler problem from the 4-torsion structure of the elliptic curve $E: y^2 = x^3 - x$ over $mathbb{Q}(i)$, ramified at the prime $p=2$. We introduce the $i$-cycle bundle as a principal $mu_4$-bundle encoding the complex multiplication (CM) action, and establish explicit mappings from the Rosati involution and N'eron-Tate height pairing to the Runge-Lenz vector (RLV) and Johnson-Lippmann operator (JLO). This provides a unified arithmetic origin for classical and quantum conserved quantities in GRQFT, linking torsion imbalances to eccentricity and unitarity. The exposition emphasizes mathematical rigor, with explicit computations and embeddings, positioning this as a foundational component for deriving Standard Model structures from arithmetic vacua.
Category: Number Theory
[6] ai.viXra.org:2510.0006 [pdf] submitted on 2025-10-04 13:22:22
Authors: Perry Henderson
Comments: 4 Pages.
As generative AI becomes embedded in classrooms, the act of prompting—using natural language to instruct an intelligent system—emerges as a new form of literacy alongside reading and writing. This paper argues that English language education in elementary and secondary schools should formally incorporate AI-based prompt engineering. Doing so would cultivate students’ abilities in clarity, context, creativity, and critical reasoning. Evidence from peerreviewed studies in AI literacy, language learning, and AI-assisted writing supports a pedagogical shift toward structured prompt practice (Long & Magerko, 2020; Kasneci et al., 2023; Kohnke et al., 2023; Li et al., 2024; Lo et al., 2025).
Category: Artificial Intelligence
[5] ai.viXra.org:2510.0005 [pdf] submitted on 2025-10-03 19:37:37
Authors: Zirui Wang
Comments: 8 Pages.
This paper presents a complete resolution of the Erdős—Straus conjecture. We introduce a systematic approach termed the "Constraint-Construction Method," which yields explicit infinite families of solutions for all integers satisfying n otequiv 1, 7 pmod{12} . Our principal contribution is the discovery of a unified parametric framework that establishes the conjecture's equivalence to the existence of positive integer solutions to the equation m(4t - 1 - m) = 2n satisfying an elementary parity condition. This framework not only provides a constructive proof for the most obstinate residue classes but also reduces the computational verification from a three-dimensional search to a two-dimensional one, thereby furnishing both theoretical completeness and computational efficacy.
Category: Number Theory
[4] ai.viXra.org:2510.0004 [pdf] submitted on 2025-10-02 12:14:21
Authors: Paul Caracristi
Comments: 4 Pages.
Recent reconstructions of galaxy motion and matter distribution in the observable universe have revealed the presence of two dominant large-scale anomalies: the Great Attractor and the Great Repeller (Tully et al., 2014; Hoffman et al., 2017). Traditionally interpreted through the lens of general relativity and gravitational potentials (Einstein, 1916; Misner, Thorne, & Wheeler, 1973), these phenomena can be recontextualized within a cavitational cosmological model. This model introduces gravity and levity as expressions of positive and negative spacetime curvature, respectively (Caracristi, 2021a; Caracristi, 2024a). In this paper, we present a detailed analysis of how these curvature polarities influence the large-scale dynamics of cosmic structure, treating the universe as a cavitated domain embedded in a curvature gradient field. We interpret the Great Attractor as a region of high positive curvature and the Great Repeller as a region of high negative curvature, and propose that their influence on matter flows results from intrinsic curvature gradients, not simply mass distribution. This perspective yields new insights into the interplay between structure formation and the underlying spacetime topology.
Category: Relativity and Cosmology
[3] ai.viXra.org:2510.0003 [pdf] submitted on 2025-10-02 20:19:23
Authors: Weigang Li
Comments: 9 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)
The van’t Hoff formula for osmotic pressure (Π = icRT) bears a striking mathematical resemblance to the ideal gas law (P = nkT). Conventionally, its microscopic origin is attributed to entropy or chemical potential gradients. This paper proposes a novel, purely kinetic theory based on momentum transfer: osmotic pressure arises from the instantaneous reversal of the perpendicular momentum component of impermeable soluteparticles during elastic collisions with a semi-permeable membrane while undergoing Brownian motion. This reversal directly counteracts the momentum flux of water molecules impinging on the membrane from the solution side. To compensate for this momentum flux deficit, a macroscopic static pressure must be applied to the solution side, which is the osmotic pressure. We thereby rigorously derive the van’t Hoff law from first principles. Based on this theory, we further conceptualized and experimentally validated an energy conversion system. This system utilizes an electrostatic field to create asymmetric local ionconcentrations near two semi-permeable membranes, generating differential solutemomentum counteraction that ultimately induces a sustained water level difference between pure water columns, allowing for the extraction of gravitational work. Improved experiments observed a water level difference of up to 2.8 meters, indicating the system's ability to absorb ambient heat and convert it into mechanical work, posing a challenge tothe universal applicability of the second law of thermodynamics under specific conditions.However, the consistent contradiction between the observed flow direction and theoreticalpredictions remains a central puzzle to be solved.
Category: Thermodynamics and Energy
[2] ai.viXra.org:2510.0002 [pdf] submitted on 2025-10-02 20:14:55
Authors: N. J. Kettlewell
Comments: 4 Pages. (Note by ai.viXra.org Admin: The correct citation of previous work is: ai.viXra.org: 2509.0058; please cite listed scientific references)
We present the Solar-System predictions of Phase-Biased Geometry (PBG). From a quadratic action with three constants (α,β,γ), we derive the invariants c, ℏ, and the coherence length ℓ⋆. Using canonical Hamiltonian methods, we obtain the rest-energy relation E= mc2 as an identity. The coherence kernel reduces to 1/r on Solar-System scales. With a single source normalisation, PBG reproduces Mercury’s perihelion precession, solar light bending, Shapiro delay, and gravitational redshift. These results arise from coherence gradients; spacetime curvature appears only as an effective description.
Category: Relativity and Cosmology
[1] ai.viXra.org:2510.0001 [pdf] submitted on 2025-10-02 01:26:54
Authors: Satyamurthy Kundharapu
Comments: 17 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The doubleu2011slit experiment famously shows brightu2011dark interference fringes even when individual photons or other quanta pass the slits one at a time. This paper explains the phenomenon entirely within standard quantumu2011mechanical coherence theory and openu2011quantumu2011system dynamics. We demonstrate that firstu2011order field coherence governs fringe formation; decoherence, phase noise, detector modeu2011matching, and the observer effect (understood as informationu2011induced decoherence) determine fringe visibility. A worked numerical example shows how visibility decreases with increasing phaseu2011noise variance. These wellu2011established mechanisms fully account for all observed effects — no hidden medium or change in photon speed is required.
Category: Quantum Physics