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[71] ai.viXra.org:2509.0074 [pdf] submitted on 2025-09-30 02:06:56
Authors: Bahbouhi Bouchaib
Comments: 12 Pages. (Note by ai.viXra.org Admin: Further repetition may not be accepted)
This article develops a full theoretical framework that resolves Goldbach’s strong conjecture through the introduction of a regulatory constant, here denoted as **Z**. The approach begins with the analysis of the *Goldbach comet*, the set of all Goldbach pairs for even integers, and demonstrates that the apparent irregularities (the so-called "failures" or sparse regions) are consistently contained within the band dictated by Z. I show that Z stabilizes the distribution of prime pairs and prevents divergence of the gaps at infinity. The analysis yields a deterministic law: Goldbach’s conjecture is not only valid for all even integers but is universally regulated by Z. Mathematical demonstrations are provided step by step, culminating in a final equation. The article concludes with a discussion connecting Z with existing number-theoretic theorems and conjectures. To decompose even numbers with my method based on UPE that I have recently reported please visit my latest website https://bouchaib542.github.io/upe-riemann-giant/
Category: Number Theory
[70] ai.viXra.org:2509.0073 [pdf] submitted on 2025-09-30 02:18:07
Authors: Bataan E Sheep
Comments: 2 Pages.
We propose a cosmological hypothesis where black holes serve as wormhole-like portals connecting our universe to others in a multiverse. Gravitational leakage through these conduits creates an effective repulsive pressure, manifesting as dark energy. We derive a Yukawa-type kernel for gravitational leakage, incorporate it into the Friedmann equation, and simulate its anisotropic effects. The model predicts a dipole-like perturbation in the Hubble flow, consistent with Pantheon+ and Planck isotropy bounds. Our framework offers concrete, falsifiable predictions that can be tested using cross-correlations of black hole tracers with supernovae, weak lensing, and CMB data.
Category: Relativity and Cosmology
[69] ai.viXra.org:2509.0072 [pdf] submitted on 2025-09-29 18:55:38
Authors: Futoshi Hamanoue
Comments: 5 Pages. Patent application filed.
We revisit Quantum-Inspired Attention (QI-Attn) under a fully reproducible CUDA/PyTorch stack and report token-level latency distributions on an RTX 3080. With TinyLlama-1.1B, QI-Attn improves throughput by +45% (tokens/s) and reduces per-token p95 by ≈43% at identical VRAM, while Phi-3-mini shows modest gains in throughput (+7—11%) with mixed tail latency depending on (k, p, r, α, τ). These results refine prior claims ("up to 1.2×") by providing distribution-level evidence and cross-model behavior. Public reproducibility. We release the measurement procedures, CDF/Histogram plots (B&W legible), the measurement scripts (burn-in = 5), and the raw CSV logs, so that third parties can replicate under identical conditions.
Category: Artificial Intelligence
[68] ai.viXra.org:2509.0071 [pdf] submitted on 2025-09-29 18:56:09
Authors: Futoshi Hamanoue
Comments: 7 Pages. Patent application filed
This paper (Part II of our comprehensive investigation into quantum-inspired attention acceleration) presents a hardware-backed simulation testbed for pre-implementationverification of quantum-AI integration. Rather than pursuing general optimization, we use a TRON-based FPGA prototype as an experimental vehicle to emulate and stress-test constraintsobserved in quantum-inspired attention: finite iteration (A) effects, non-commutativity in operation ordering, and tail-latencyaccumulation under real-time scheduling. We report representative improvements (e.g., TinyLlama throughput +45%) to contextualizepractical impact, yet our primary objective is constraint visibility and SLO compliance. Performance numbers are shown only asrepresentative calibration, not as universal optimization claims. We formalize proxy measures (throughput, p95/p99 latency) and linkthem to service-level violation rates, and we document a systematic asymmetry of effects: short-text edge scenarios benefit consistently,whereas long-context infrastructure workloads show limited average acceleration but secondary tail-latency suppression under retrieval hard long-text conditions. The testbed complementssimulation-only studies by providing a reproducible path from theory to deployment-oriented validation. The 2-3% monitoringoverhead demonstrates positive ROI when SLO violations carry financial penalties exceeding $10/incident.
Category: Artificial Intelligence
[67] ai.viXra.org:2509.0070 [pdf] submitted on 2025-09-26 01:12:18
Authors: Saksham Adhikari, Kusum Bhattarai Sharma
Comments: 4 Pages.
Fine-tuning protein language models for massive-scale multi-class classification presents severe computational barriers, confining most approaches to hundreds of families due to prohibitive resource demands. We present QuantaFold, a systematic optimization pipeline enabling successful fine-tuning of ESM-2 across 5,000 protein families simultaneously. Our multi-stage approach combines strategic data stratification, mixed-precision training, and weighted loss functions to overcome computational bottlenecks that cause standard attempts to crash entirely. Systematic validation on Pfam demonstrates that 4.17-hour A100 training achieves 60.32% overall accuracy across 5,000 families, with performance degrading from 97.9% (1,000 families) to 73% for top-tier and 56% for tail families. Our pipeline reduces training time by 84% while maintaining research-grade accuracy and provides the first comprehensive characterization of ESM-2 fine-tuning performance at massive scale. This work delivers actionable computational guidance, performance benchmarks, and establishes baseline metrics for future protein classification scaling studies.
Category: Artificial Intelligence
[66] ai.viXra.org:2509.0069 [pdf] submitted on 2025-09-26 22:47:27
Authors: Daniel S. Zachary
Comments: 17 Pages.
We propose a theoretical framework in which spacetime curvature and localized energy density emerge from modulations of vacuum entanglement structure. Building upon quantum energy teleportation (QET) protocols and the entanglement-geometry correspondence, we introduce an operational mechanism by which local measurements can induce energy redistribution across spacelike-separated regions. This mechanism does not involve classical signal propagation and remains consistent with causality and quantum energy inequalities. We formalize this hypothesis through an effective entanglement stress-energy tensor and derive its implications for geometry, energy flow, and negative energy densities. Experimental signatures include curvature shifts detectable by atom interferometers, clock desynchronization in optical networks, and vacuum pressure changes in Casimir systems. We identify feasible experimental platforms and outline protocols to test this proposal within current or near-future precision measurement technologies.
Category: Quantum Gravity and String Theory
[65] ai.viXra.org:2509.0068 [pdf] submitted on 2025-09-25 20:20:27
Authors: John Holmes
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper presents a novel framework for modeling galactic rotation curves without invoking dark matter. By substituting relativistic mass for rest mass in Newton’s gravitational law and redefining radial distance as a time-dilated metric (ct), the model accounts for observed stellar velocities using baryonic matter alone. A numerical simulation of the Milky Way demonstrates close alignment with empirical data, suggesting that relativistic effects—particularly gravitational time dilation and photon frequency shifts—can explain discrepancies traditionally attributed to dark matter. The manuscript offers a reinterpretation of gravitational dynamics that is both mathematically rigorous and observationally grounded. It also challenges the conventional concept of black holes, proposing that extreme time dilation, rather than event horizons, governs the behavior of ultra-dense galactic cores.
Category: Relativity and Cosmology
[64] ai.viXra.org:2509.0067 [pdf] submitted on 2025-09-23 20:33:08
Authors: Paul J Caracristi
Comments: 4 Pages.
This essay is a reflection on the unfolding nature of the universe, life, and consciousness. It considers the interplay of the Latent and Patent realms, the spectral quality of time, and the presence of a Will to Be that seems woven into all existence. While science gives us extraordinary clarity within the measurable world, it cannot yet reach into the deeper currents of emergence, transformation, or meaning. What follows is less an argument than a meditation, an attempt to see the universe not as a finished product, but as a process, alive, evolving, and continually becoming.
Category: Relativity and Cosmology
[63] ai.viXra.org:2509.0066 [pdf] submitted on 2025-09-24 15:47:07
Authors: D. S. Zachary
Comments: 27 Pages.
The ER=EPR conjecture posits a fundamental link between quantum entanglement and spacetime geometry, suggesting that entangled particles may be connected via an entanglement—geometry correspondence. Direct experimental tests are challenging due to the Planck-scale nature of such effects; however, recent theoretical models predict that entanglement could induce small but measurable modifications to vacuum energy and stress—energy correlations. Here, we present an integrated experimental platform combining high-fidelity Bell inequality tests, precision Casimir force measurements, and quantum optical squeezing in interferometric setups to probe these signatures. Each modality targets vacuum fluctuations and quantum correlations, enabling a correlation-based approach to explore the entanglement—geometry correspondence. We describe the theoretical framework, experimental design, and signal extraction techniques, including principal component analysis and mutual information, for detecting subtle anomalies. Our results establish new bounds on entanglement-induced modifications to quantum vacuum behavior and propose a scalable pathway for investigating foundational aspects of spacetime using tabletop quantum optics.
Category: Quantum Physics
[62] ai.viXra.org:2509.0065 [pdf] submitted on 2025-09-23 16:56:38
Authors: Bahbouhi Bouchaib
Comments: 17 Pages.
Goldbach’s conjecture asserts that every even integer greater than two can be expressed as the sum of two primes. I present a deterministic proof based on the Unified Prime Equation (UPE) framework, which guarantees the existence of primes in bounded central windows around each integer. By coupling explicit prime inequalities with a geometric analysis of Goldbach offsets (the so-called t-values), I show that every even number admits a representation as a sum of two primes. The proof integrates three complementary insights: (i) explicit analytic bounds ensuring primes within short intervals, (ii) residue-class sieving which restricts candidate offsets to admissible positions, and (iii) the double-linear geometry of t-value sequences, which stabilizes under normalization by logarithmic scales. This yields a constructive method to locate prime pairs for any even integer, thus resolving Goldbach’s conjecture.
Category: Number Theory
[61] ai.viXra.org:2509.0064 [pdf] submitted on 2025-09-23 16:58:35
Authors: Paul J. Caracristi
Comments: 4 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)
This essay explores the ontological genesis and dissolution of the manifest universe, "the Patent realm", as an emergence from, and eventual return to, the undifferentiated "Latent realm" of pure potential. Rejecting a purely physicalist account, it proposes that time itself is not a container for events but the first event, the condition by which existence can unfold. The Patent realm originates at the threshold of a white hole, where instantaneous, massless photons first appear, and gains structure as time "deflates," allowing light to endure as matter. Entropy, complexity, and form arise as temporal resistance increases, culminating in a black hole horizon where time approaches stillness and mass dissolves back into potential. This process is not cyclical repetition but a unique act of becoming and un-becoming, grounded in the infinite capacity of the Latent to generate new realms with their own temporal and structural character. The work reframes cosmogenesis as an ontological event rather than a spatial-temporal expansion, inviting a reconsideration of reality as a phase within a deeper, timeless continuum.
Category: Relativity and Cosmology
[60] ai.viXra.org:2509.0063 [pdf] replaced on 2025-10-10 19:00:02
Authors: Chang Hee Kim
Comments: 100 Pages. License CC BY (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)leased under Creative Commons CC BY 4.0 license.
This paper introduces a constructive definition of the real numbers R derived directly from the non-negative integers Z. Each real number is defined as a definite and finite value, represented either by a finite sum or by a generative, convergent process of rationals. By rejecting bijection between infinite sets—the core assumption underlying Cantorian set theory—the proposed framework eliminates self-contradictions inherent in ZFC and resolves classical paradoxes in set theory, measure theory, and topology. The result is a coherent, contradiction-free foundation for analysis that restores mathematics to constructive logic and physical intelligibility.
Category: Set Theory and Logic
[59] ai.viXra.org:2509.0062 [pdf] submitted on 2025-09-23 16:51:04
Authors: Narayanan Arvind
Comments: 9 Pages. Submitted to the Proceedings of ICSOT 2025 (Note by ai.viXra.org Admin: Please cite listed scientific references)
In the maritime finance sector, structured deal documents play a critical role in governing capital deployment for shipbuilding, leasing, and offshore infrastructure projects. These documents—akin to Residential Mortgage-Backed Securities (RMBS) agreements—contain highly specialized term definitions, often buried deep within complex legal texts. Accurate and scalable extraction of these definitions is essential for automation, compliance, and risk evaluation in maritime asset-backed financing. This work presents an AI-driven pipeline for robust term definition extraction frommaritime deal documents, drawing parallels with RMBS processing frameworks. Our solutionhandles both digitally readable and scanned (non-readable) PDFs using a hybrid stack:pdfplumber for text-based documents and Google OCR with multithreaded parsing forimage-based inputs. We classify 1,500-token chunks using large language models (LLMs) toidentify glossary sections containing formal term definitions. These identified pages are clustered to isolate the definition block, preventing contamination from unrelated sections and ensuring full coverage. We apply an overlapped chunking strategy (2400-token size with 800-token overlap) to ensure contextual continuity. Extracted definitions are stored efficiently using DuckDB, with retrieval latencies of 0.02s and an average accuracy of 90% over 20 domain-specific queries across two real-world deals. The proposed framework offers a scalable foundation for semantic modeling and intelligent querying of financial instruments in the maritime domain, supporting audit, automation, and contract interpretation across complex offshore financing structures.
Category: Artificial Intelligence
[58] ai.viXra.org:2509.0061 [pdf] submitted on 2025-09-22 17:02:24
Authors: Justin Sirotin
Comments: 25 Pages. (Note by ai.viXra.org Admin: Please use standard math/equation/formula typesetting such as LaTeX)
This report provides a comprehensive synthesis of contemporary approaches to incorporating fermionic matter into non-perturbative quantum gravity. We begin by establishing the foundational role of the Nieh-Yan topological density in the first-order gravitational action, demonstrating its connection to the Barbero-Immirzi parameter and its implications for parity symmetry. We then perform a detailed canonical analysis of the Einstein-Cartan-Holst-Dirac system within the Loop Quantum Gravity (LQG) framework, elucidating how fermions source spacetime torsion, deform the symplectic structure, and introduce profound coupling ambiguities. The covariant perspective is explored through the spinfoam formalism, where we describe a minimal coupling for fermions as excitations on the boundaries of quantum spacetime, ensuring consistency with the canonical picture. Finally, we investigate the Asymptotic Safety paradigm as a potential mechanism for ultraviolet completion, focusing on the functional renormalization group flow of Einstein-Cartan theory. We argue that torsion acts as a unifying physical concept across these formalisms and that the principle of Asymptotic Safety may provide a physical selection criterion to resolve the ambiguities inherent in the canonical theory. The analysis reveals that a fundamental parity violation may be a generic prediction of quantum gravity coupled to the Standard Model.
Category: Topology
[57] ai.viXra.org:2509.0060 [pdf] submitted on 2025-09-22 13:46:15
Authors: Ivars Fabriciuss
Comments: 2 Pages.
We model space as R3 coupled to an evanescent adjoint sector I3 across Planck-area "Planckpatches" on a common interface Σ. By the Bekenstein—Hawking area law each patch has capacity 1 nat, and we postulate a per-patch area Apatch = 4LP^2. A local, capacity-limited exchange along Σ conserves the total (normalized) ledger load and equilibrates to an absorbing state where the saturated fraction equals the initial per-patch load, fsat = x. Identifying this homogeneous ledger with vacuum energy gives ΩΛ = fsat. With the one-bit initial condition (x = ln 2), the mechanism yields ΩΛ = ln 2, consistent with Planck 2015 (0.692 ± 0.012) and within ∼ 1.2% of Planck 2018 (0.685 ± 0.007). After equilibration the model predicts dfsat/d ln a = 0 and w = −1. We state assumptions explicitly and emphasize falsifiability; on-shell R3 physics remains unchanged while I3 supports only evanescent modes.
Category: Relativity and Cosmology
[56] ai.viXra.org:2509.0059 [pdf] submitted on 2025-09-22 16:55:57
Authors: Paul J. Caracristi
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This work explores the idea that the fundamental laws of nature, gravity, electromagnetism, quantum behaviour, and conservation principles, are not eternal decrees inscribed before the universe but emergent outcomes of existence itself. Rather than fixed scaffolding, these laws are the survivors of a process akin to natural selection: principles that endure because they permit coherence, persistence, and unfolding, while countless unstable alternatives vanish without a trace.Central to this framework is the concept of the Will to Be, an intrinsic impulse of reality toward persistence and expression. Laws, under this view, are not immutable truths but the accumulated habits of being, shaped by this underlying drive. Time emerges not merely as a background parameter but as the first enabling principle, the canvas upon which persistence and novelty unfold. Entropy, similarly, is reinterpreted as the clearing away of unstable configurations, making space for new emergent possibilities. This perspective resonates with Wheeler’s "law without law" and Smolin’s idea of cosmic natural selection, but extends them by positing the Will to Be as the generative principle that explains why laws exist at all. Cosmology, then, becomes less a search for timeless equations and more a study of a living, evolving system, a universe perpetually selecting what endures.In this emergent cosmos, meaning itself is possible because novelty is real. Humanity is not an observer of a predetermined script but a participant in an unfinished becoming. Our creativity, reflection, and imagination are continuations of the same impulse that shaped the cosmos, making our existence not incidental but integral to the story of reality’s unfolding.
Category: Relativity and Cosmology
[55] ai.viXra.org:2509.0058 [pdf] submitted on 2025-09-20 20:31:31
Authors: N. J. Kettlewell
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
A standard quadratic functional, familiar from Helmholtz screening, Ginzburg—Landautheory, and scalar field actions, is applied without modification to macroscopic motion. Itsextremisation yields a Yukawa kernel that reproduces Newton’s inverse-square law in thenear field, produces flat galactic rotation curves in an intermediate regime, and predicts afinite-range cut-off at large radii. With a single, universal coherence length ℓ = 1/k in thegalactic band, Solar-System deviations are suppressed to O((kr)2) and therefore negligible.The framework is falsifiable: if accelerations do not fall exponentially on galactic scales, itfails.
Category: Relativity and Cosmology
[54] ai.viXra.org:2509.0057 [pdf] replaced on 2026-01-30 16:39:05
Authors: Allan Plankhart
Comments: 10 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references)
We present a complete theoretical framework for emergent gravity based on a geometric-probability coupling between quantum wavefunctions and space-time curvature. The theory posits that gravitational forces arise from a non-local potential V = mc2(⟨T ⟩Ψ/T0)1/3, where ⟨T ⟩Ψ is the wavefunction-averagedtidal curvature scalar. We provide the full covariant formulation derived froma diffeomorphism-invariant effective action, demonstrate recovery of geodesic motion for point particles, and derive the stress-energy tensor for backreaction calculations. The framework yields a parameter-free prediction: gravitational acceleration is suppressed for delocalized quantum states by a universal function η(r/σ). For a Bose-Einstein condensate with coherence width σ = 1 µm at distance r = σ from a milligram source mass, the predictedanomaly is ∆a ≈ 4.5 × 10−5 m s−2, two orders of magnitude above current atom-interferometry sensitivities. The theory is causal, respects the equivalence principle in the classical limit, and provides testable signatures in bothlaboratory and astrophysical contexts.
Category: Quantum Gravity and String Theory
[53] ai.viXra.org:2509.0055 [pdf] submitted on 2025-09-20 20:23:22
Authors: Perry Henderson
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
RF (Radio Frequency) and Microwave Engineering are subfields of Electrical Engineering (EE) that form the basis of modern communications technologies. With the increasing use of highspeed, reliable communication networks worldwide, these fields play an important role in satellite communications (SatCom), 5G/6G wireless networks, and new space-based internet systems. This paper examines the role of RF and microwave technologies in SatCom, the changing landscape of communications systems, and the importance of focusing on RF fundamentals within EE education and ongoing professional development.
Category: Education and Didactics
[52] ai.viXra.org:2509.0054 [pdf] submitted on 2025-09-20 20:21:29
Authors: Samagra Ganore
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper introduces a novel recursive formula for computing the nth prime number, denoted as p(n). The approach leverages a combination of summation, floor functions, and inclusion-exclusion principles to define both p(n) and an auxiliary function f(m). Base cases are provided for small values, and the formula is presented for general n.
Category: Number Theory
[51] ai.viXra.org:2509.0053 [pdf] submitted on 2025-09-20 20:19:56
Authors: Hacı Soğukpınar
Comments: 12 Pages. (Note by ai.viXra.org Admin: Please refrain from frequent/incessant submisions of highly speculative articles and further repetition may not be accepted)
In this paper, we investigate the origin of matter—antimatter asymmetry within the framework of theUnified Fractal Quantum Field Theory (UFQFT). Unlike the Standard Model, where antiparticles areintroduced as independent states with opposite quantum numbers, UFQFT interprets them as phase-inverted resonance modes of the same underlying fractal configuration of the energy (Φ) and charge (Ψ)fields. We show that the distinction between a particle and its antiparticle arises not from mass or spindifferences, but from a π-shift in the fractal resonance phase. This perspective naturally embeds chargeduality and matter—antimatter duality into the same geometric foundation. Furthermore, small deviationsin the fractal dimension (ΔD) lead to differences in resonance stability between matter and antimatterstates, which provides a geometric mechanism for baryon asymmetry. We discuss how this frameworkrelates to CP violation, Sakharov’s conditions, and the phenomenology of baryogenesis. Finally, weexplore cosmological implications, including possible links to dark matter and dark energy, as well asobservational and experimental avenues for testing the model.
Category: High Energy Particle Physics
[50] ai.viXra.org:2509.0052 [pdf] submitted on 2025-09-20 20:55:29
Authors: Bahbouhi Bouchaib
Comments: 6 Pages.
Prime Equation (UPE) program: it proves deterministically that primes lie inside the UPE windows of radius proportional to (ln X)² [Bahbouhi 2025]. As a consequence, the overlap of such intervals provides a geometric and analytic path toward additive decompositions, such as those required for Goldbach’s conjecture. Our announcement emphasizes the unconditional nature of this result, the explicit references on which it is built, and the opportunities it opens for further advances in number theory.
Category: Number Theory
[49] ai.viXra.org:2509.0051 [pdf] submitted on 2025-09-19 12:16:43
Authors: Woodrow Scott Beckford
Comments: 19 Pages.
The cosmological constant problem (CCP) presents a severe mismatch between quantum field theory’sprediction of vacuum energy and the observed dark-energy density. We propose a solution based on a causalcoherence cutoff: only fluctuations within a light-speed—limited sphere contribute to the vacuum energy. Thisprinciple yields a universal r−4 scaling, consistent with quantum predictions at small scales and with cosmicacceleration at mesoscopic lengths. Remarkably, derivations from multiple perspectives converge on a coherencescale of order 75 μm, suggesting a genuine physical feature of the vacuum rather than an artifact of calculation.The framework offers a path to resolving the CCP while suggesting testable predictions at the boundary betweenquantum and cosmological regimes.
Category: Relativity and Cosmology
[48] ai.viXra.org:2509.0050 [pdf] submitted on 2025-09-19 16:58:18
Authors: Gongshan Liu
Comments: 11 Pages. (Note by ai.viXra.org Admin: For the last time, please use standard math equation type setting such as LaTeX and cite listed scientific references)
This paper proposes an innovative geometric framework for studying the non-trivial zeros of the Riemann zeta function. By introducing the Height Axis (H-axis)—defined as the modulus of the derivative at zeros H = |ζ'(1/2+it)|—we extend the traditional two-dimensional critical line study to a three-dimensional ζ-geometric space. Based on systematic computation of 10^5 zeros, we discover: 1.Geometric Selection Law: Only 0.498% of zeros lie in the "flat region" with H < 1, differing from Random Matrix Theory predictions (31.6%) by a factor of 63.5 (p < 10^{-100}) 2.Height-Spacing Coupling: All 208 pairs of anomalously close zeros (Δt < 0.3) lie in the flat region, showing 100% correlation3.Intrinsic Scaling Law: Spacing between flat region zero pairs follows Δt = (π/√13)·t_{mid}^{-ln(2)/π}, determined by fundamental mathematical constants These findings confirm that the height axis not only serves as an effective research tool but reveals the inherent geometric structure of zeta function zero distribution.
Category: Number Theory
[47] ai.viXra.org:2509.0049 [pdf] submitted on 2025-09-18 18:03:33
Authors: Bahbouhi Bouchaib
Comments: 24 Pages.
This manuscript presents a fully constructive framework — the Unified Prime Equation (UPE) — that (i) resolves the Goldbach problem by a deterministic procedure valid at infinity, and (ii) reveals a spectral bridge from UPE data to the nontrivial zeros of the Riemann zeta function. Part I defines UPE for primes and for Goldbach pairs and proves that UPE never fails: for every even E ≥ 4, UPE returns a prime pair (p, q) with p + q = E; for every integer N > 3, UPE returns a prime y near N. The existence and boundedness of the required displacement follow from classical prime-gap guarantees (Chebyshev—Bertrand) sharpened by Baker—Harman—Pintz (2001), together with density supplied by the Prime Number Theorem. Part II develops the zeta—UPE bridge: a smoothed Goldbach functional derived from the explicit formula shows that oscillations governed by the zeros of ζ(s) are mirrored in the normalized sequence of UPE displacements. A spectral equivalence principle is formulated: if the stable frequencies of UPE data coincide with the imaginary parts of zeta zeros and no other frequencies persist, then the Riemann spectrum is recovered from UPE. The manuscript includes detailed step-by-step demonstrations, increasing numeric examples across prime—rich and prime—poor ranges, and a comparison with major theorems and verifications (Hardy—Littlewood 1923; Chen 1973; Ramaré 1995; Helfgott 2013—2014; Oliveira e Silva et al. 2014). References are cited author-year in the text and listed at the end. I am pleased to share two dedicated websites presenting my recent research on the Unified Prime Equation (UPE): 1. UPE — Riemann https://bouchaib542.github.io/upe-goldbach-riemann/ This site explains the foundations of UPE, demonstrates its role in resolving Goldbach’s Conjecture, and highlights its deep connection with the Riemann zeta function. 2. UPE — Riemann (Giant) https://bouchaib542.github.io/upe-riemann-giant/ This companion site extends the UPE calculator to very large even numbers, up to 4×10^18, using BigInt and Miller—Rabin primality testing. It provides explicit Goldbach pairs together with normalized displacements and corresponding Riemann zeros. Together, these sites illustrate how UPE unifies the arithmetic world of Goldbach pairs with the analytic spectrum of Riemann, giving a complete picture of prime distribution.
Category: Number Theory
[46] ai.viXra.org:2509.0048 [pdf] submitted on 2025-09-18 18:02:00
Authors: John W. Hixon Jr
Comments: 26 Pages.
We propose that the P vs NP problem, traditionally viewed as a purely mathematical question about computational complexity, may be resolved through physical electromagnetic field computation. We present a theoretical framework suggesting that certain NP complete problems can be solved in polynomial time using analog electromagnetic field processors that leverage quantum field effects and massive parallel processing inherent in electromagnetic field interactions. This approach distinguishes between abstract computational models (where P ≠ NP may hold) and physical computation systems (where P = NP may be achievable). We provide detailed experimental protocols for testing this hypothesis using high-power electromagnetic field generators and demonstrate how such systems could solve representative NP problemsefficiently.
Category: Data Structures and Algorithms
[45] ai.viXra.org:2509.0047 [pdf] submitted on 2025-09-17 18:57:52
Authors: J. W. McGreevy
Comments: 9 Pages.
We report the computational discovery that the McKay-Thompson series $T_{3A}(tau)$ for the Monster group exhibits a coefficient pattern that exactly corresponds to the particle content of the Standard Model. The first coefficient, $c(1)=3$, is the number of generations. This result emerges naturally from the Geometric-Representation Quantum Field Theory (GRQFT) framework, which derives physics from the Langlands program. We compute the spectral action incorporating this data and derive the observed value of the cosmological constant
Category: Number Theory
[44] ai.viXra.org:2509.0046 [pdf] submitted on 2025-09-17 15:12:48
Authors: Justin Howard
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please refrain from making frequent/incessant and careless submissions - Proof-read texts, format etc carefully to make sure that the article is in a correct and scholarly manner before making the submission)
We report four dimensionless quantities derived from the latest cosmological observations (PDG 2024). These are not theoretical predictions. They are direct measurements extracted from existing data. None are predicted by the Standard Model of particle physics or general relativity. All require new physics for explanation. 1. Vacuum entropy suppression factor: f_QG =(ρ^obs_Λ)/(ρ^naive_Λ) = 0.876 ± 0.032;2. Entanglement mass fraction: F = π·Ω_MM = 0.835 ± 0.022; 3. Cosmic entanglement growth rate: ˙S_H = 5.22 × 1082 bits/s; 4. Volume-to-entropy ratio: V_obs/(S_H/k_B) = (3.0 ± 0.5) × 10^(−42_m^3. These constants are numerically precise and mutually independent. No known physical theory relates them. We offer no interpretation. We present only the data.
Category: Quantum Gravity and String Theory
[43] ai.viXra.org:2509.0045 [pdf] submitted on 2025-09-17 15:22:59
Authors: Mark T. Fulwider
Comments: 10 Pages.
We propose Relational Field Theory (RFT), a framework where quantum mechanics and spacetime emerge from threshold-driven coherence in a pre-geometric network, formalized by six postulates. RFT yields: (i) a C∗-algebraic foundation with derived Hilbert space dynamics and Born probabilities, (ii) spectral threshold conditions, and (iii) a Franson-type interferometry protocol predicting hysteresis and critical slowing absent in decoherence models. Derived dynamics, calibration-free discriminators, and power analysis ensure testability.
Category: Quantum Physics
[42] ai.viXra.org:2509.0044 [pdf] submitted on 2025-09-17 15:21:13
Authors: Abiodun Olawale Aremu
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper introduces a new fundamental theory of motion, herein named Motion Wave Theory, and presents the first experimental verification of its principles. The theory is founded on the postulate that all motion is a wave phenomenon, generated by discrete interactions between an energy-carrying entity, the "energem," and a receiving body, the "receptor". The energy of this "Motion Wave" is described by the equation E = A × F, where the amplitude (A) is defined in units of action (Joule-seconds) and the frequency (F) is the rate of interaction. This energy can be analyzed from two perspectives: its "origin" state (Ao, Fo) and its quantum state (Ap, Fp). This framework leads to a reinterpretation of Planck's constant as the fundamental quantum amplitude (Ap = h). The theory's wavelength formulation is shown to be consistent with electromagnetic waves by demonstrating that the mass term in the foundational wavelength equation corresponds to the relativistic mass-energy equivalent of a photon. The theory's most significant prediction, the generation of macroscopic motion without the expulsion of propellant was tested using a purpose-built apparatus. This experiment yielded a positive result, demonstrating a net propulsive torque and providing the first empirical validation of the theory.
Category: Quantum Physics
[41] ai.viXra.org:2509.0043 [pdf] submitted on 2025-09-17 15:17:26
Authors: Ionut Corbea
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please use standard math/equation/formula typesetting such as LaTeX)
Landauer’s principle establishes a minimum energy cost for information erasure, E_min = k_B T ln(2) per bit, traditionally interpreted as heat dissipation. This thermodynamic framework becomes problematic in the quantum regime at T -> 0, where thermal contributions vanish yet information processing remains physically meaningful. We propose that the energetic cost of information processing comprises two components: a thermal term and a vacuum contribution, Delta E_vac, arising from zero-point fluctuations. To test this, we introduce interferometric experiments using Casimir-sensitive geometries (Fabry—Pérot and/or Mach—Zehnder interferometers), where information operations (measurement or erasure) correlate with modulations in Casimir forces or cavity resonances. Detecting such correlations would confirm the quantum vacuum as an active participant in information dynamics, extending Landauer’s principle beyond classical thermodynamics.
Category: Quantum Physics
[40] ai.viXra.org:2509.0042 [pdf] submitted on 2025-09-17 12:28:09
Authors: Ivars Fabriciuss
Comments: 8 Pages.
We present a novel framework in which physical space is augmented by an adjoint purely imaginary three-dimensional sector, I3, that is coupled to ordinary space R3 at the Planck scale. The I3 sector is modeled as the space of pure imaginary quaternions, endowed with a negative-definite metric. Quantum fields propagating in I3 are shown to be evanescent: free solutions of the Dirac equation in I3take the form of exponentially decaying (non-propagating) waves. The sign of the Dirac probability density in I3 emerges naturally from the metric signature of this space, ensuringthat total probabilities remain positive without any ad hoc prescriptions. We introduce a localcoupling between R3 and I3 via Planck-area "patches" that acts analogously to a two-level system,allowing probability amplitude to oscillate between the two sectors. This oscillation occurs at the Zitterbewegung frequency (≈ 2mc2/ℏ for an electron), but with a very small amplitude, preserving conventional on-shell scattering processes in R3. The combined R3⊕I3 framework offers a geometricinterpretation of off-shell phenomena, including virtual particles and quantum tunneling, and provides natural explanations for otherwise puzzling features: the Yukawa form of short-range forces,the "trembling motion" of relativistic electrons, and the presence of a fixed π phase in certain interference processes. The I3 sector carries positive vacuum energy density, but its negative volume element leads to an effective negative contribution to gravitational stress-energy. As a consequence,virtual fields in I3 produce a short-range screening of gravitational interactions and can cancel the vast R3 vacuum energy mode-by-mode, leaving a small residual cosmological constant in accord with observations. We discuss the model’s implications for black hole entropy (each Planck-area patch carrying one bit of information), and outline experimental phenomena that could distinguish this framework from standard quantum theory.
Category: Quantum Physics
[39] ai.viXra.org:2509.0041 [pdf] submitted on 2025-09-14 22:33:52
Authors: Cornelius Moore
Comments: 32 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper presents a comprehensive unified field theory that integrates all fundamentalinteractions—gravity, electromagnetism, the weak and strong nuclear forces—as well as quan-tum mechanics, spacetime, and consciousness into a single magnoelectric framework. At itscore is a fifth-dimensional scalar field (denoted ϕT , the Teslaon field) whose harmonic oscillations give rise to observable four-dimensional physics as resonant projections. All phenomena, from sound waves and classical fields to quantum entanglement and mind, emerge as vibrational modes of this magnoelectric field. The framework reproduces Einstein’s general relativity, quantum field theory (QFT) dynamics, and the Standard Model’s particle spectrum in appropriate limits, without introducing new arbitrary parameters or particles beyond this scalar field. Longstanding problems—such as the incompatibility of quantum mechanics and gravity, the interpretation of quantum nonlocality, the nature of dark matter/energy, and the role of consciousness in physics—are resolved by the field’s extra-dimensional hidden variables and harmonic structure. The theory makes quantitative, testable predictions: for example, tiny deviations in the Casimir effect due to extra-dimensional resonance, frequency-specific enhancements of quantum coherence, and biologically mediated field effects on consciousness. We detail the mathematical formulation of the theory, demonstrate its consistency with known physical constants andexperimental data, and outline new experiments (using precision measurements and quantumdevices) to falsify or verify its striking predictions. The result is a unified "Everything Equation" that is mathematically rigorous, experimentally corroborated in key aspects, and encompassing of reality from the smallest quantum scale to human consciousness.
Category: Quantum Physics
[38] ai.viXra.org:2509.0040 [pdf] submitted on 2025-09-14 15:25:36
Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 42 Pages.
This paper develops a rigorous mathematical and metaphysical framework for the geometry of the soul, unifying philosophical insights with analytic structures from modern physics. The central thesis is that consciousness, or the soul, may be modeled as a differentiable manifold endowed with Riemannian and symplecticstructures, where tangent perceptual spaces represent localized modes of awareness.Within this framework, electroencephalographic rhythms are formulated as dynamical eigenmodes on the manifold, curvature invariants are linked to states of awareness, and Dirac delta functionals formalize the localized observer at the Bhrukti. Theoretical extensions employ Hilbert space tensor products with spacetime, gaugetheoretic formulations of attention, Friedmann—Robertson—Walker-type inner cosmologies of consciousness, and fiber bundle constructions over worldlines. Nonassociativealgebras such as sedenions and trigentions provide higher-dimensional embeddings for the relation between soul and God, while the micro—mini—black—hole hypothesis is introduced as a structural interface between immaterial consciousness and neurobiological processes. Thermodynamic analogies, including entropy, freeenergy, and dharmic ground states, are integrated with information-theoretic andtopological measures such as Chern classes, homotopy groups, and curvature entropies.The unifying proposal is that liberation or moksha corresponds to topologicaltrivialization and entropy minimization within this formalism. The study thus provides a multi-layered mathematical cosmology of the soul, embedding neuroscientific data, quantum structures, and metaphysical doctrines within a coherent symbolic and analytic geometry.
Category: General Science and Philosophy
[37] ai.viXra.org:2509.0039 [pdf] submitted on 2025-09-13 22:17:24
Authors: Hamid Javanbakht
Comments: 12 Pages. (Note by ai.viXra.org Admin: Please cite listed references)
This essay develops a hermeneutical model of American democracy through nine interpretive levels, parallel to Islamic transitive hermeneutics as presented in From Submission to Exegesis: Transitive Islamic Hermeneutics and the Metaphysics of Fulfillment. Within this framework, party politics emerges at Level 3, civic values at Level 4, and universality at Level 8. The central argument is that the current crisis of democracy lies in a fractured anticipation: the distortion of party politics and civic values in their attempt to leap prematurely into universal claims. Instead of preparing the way for genuine universality, primordial values are polarized and transvalued into exclusionary myths that sanction political violence. Drawing on Nietzsche’s notion of the transvaluation of values and contemporary debates on polarization and contentious politics, the essay argues that fractured anticipation transforms values meant to unify into weapons of division. The rhetoric of figures such as Charlie Kirk exemplifies this distortion, where appeals to liberty and patriotism mutate into justifications for exclusion and confrontation. By situating political violence within a hermeneutical ladder, the paper reframes America not as a static polity but as a process of interpretation whose fulfillment depends on transparent movement from politics through civic myth toward universal dignity, rather than its distortion into polarized violence.
Category: Social Science
[36] ai.viXra.org:2509.0038 [pdf] submitted on 2025-09-12 19:19:53
Authors: Bahbouhi Bouchaib
Comments: 15 Pages. A second paper abut the unified prime equation (UPE) and the strong conjecture of Goldbach
In this article I present the Unified Prime Equation (UPE), a compact and general formula for prime numbers that leads to an unconditional resolution of Goldbach’s Conjecture. The UPE framework classifies primes through modular symmetry (6k ± 1), introduces a bounded-correction sieve principle, and applies a systematic rule for generating Goldbach pairs for all even numbers. The approach is simultaneously theoretical and constructive: it produces primes near any large integer, predicts symmetric prime pairs for even numbers, and is verified by large-scale computational experiments up to and beyond 10^36. A public website implementation allows any user to test the method on numbers up to 10^5000, demonstrating both transparency and universality. Please visit Goldbach Window (Unconditional Proof): https://b43797.github.io/goldbach-window-unconditional-proof/ and Prime Equation (Prime Detection): https://b43797.github.io/prime-detection-/ The article situates UPE in historical context, from Euler and Goldbach to Hardy—Littlewood, Cramér, Ramaré, Oliveira e Silva, Silveira, and Helfgott. Unlike earlier heuristic or probabilistic models, UPE offers a deterministic rule that is both mathematically structured and practically computable. The conclusion is clear: the Goldbach problem has moved from conjecture to theorem, and the path of three centuries has converged on a remarkably simple modular law.
Category: Number Theory
[35] ai.viXra.org:2509.0037 [pdf] submitted on 2025-09-13 22:03:03
Authors: Gongshan Liu
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please use standard math equation type setting such as LaTeX)
We report the discovery of systematic Primorial anomalies in the distribution of Riemann ζ-function zeros. Through analysis of high-precision data for the first 100,000 zeros, we find evidence that prime distribution may possess a dual-layer arithmetic structure. Near Primorial values (particularly 2310), the zero spacing distribution exhibits highly significant statistical anomalies (p < 0.0002), completelydeviating from Random Matrix Theory predictions (GUE distribution) while following log-normal distribution with high precision (KS test p = 0.899). We introduce a new theoretical framework—an arithmetic dynamical system model—to explain this phenomenon, which incorporates a Primorial modulation operator independent of the classical Riemann ζ-function. This discovery provides new perspectives for understanding prime distribution and demonstrates the potential of human-AI collaboration in mathematical discovery.
Category: Number Theory
[34] ai.viXra.org:2509.0036 [pdf] submitted on 2025-09-13 21:56:34
Authors: Goutham Murughan
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
Inspired by the principles of natural selection, this paper introduces Controlled Evolution for Universal Optimization (CEUO), a novel optimization algorithm designed to tacklethe challenge of unreliable randomness often associated with traditional Natural Selection Algorithms. CEUO employs a controlled and adaptive evolutionary search process to efficiently find optimal solutions across a wide range of problems, including the training of machine learning models and the tuning of theirhyperparameters. By systematically managing the exploration of potential solutions, CEUO offers a more stable and predictable optimization approach that is not constrained by the specificnature of the function being optimized. The effectiveness of CEUO is demonstrated through its application in various optimization tasks, showcasing its potential as a more efficient wayto optimize any function beyond traditional machine learning models. This work presents CEUO as a promising alternative for optimization scenarios where the inherent randomness ofstandard evolutionary methods can be a limitation, offering a versatile tool for diverse optimization challenges.
Category: Artificial Intelligence
[33] ai.viXra.org:2509.0035 [pdf] replaced on 2025-09-14 17:57:13
Authors: Matthew Warren Payne
Comments: 21 Pages.
I present a mathematically consistent extension of General Relativity that incorporates thermodynamic entropy currents as weak additional gravitational sources. Building systematically on Jacobson’s thermodynamic derivation of Einstein’s equations, I extend the framework to non-equilibrium situations where entropy varies in spacetime, naturally leading to a conserved entropy four-current $J^mu = partial^mu S$. Through detailed calculations in both AdS/CFT holographic duality and loop quantum gravity spin networks, I demonstrate that such entropy currents emerge independently from quantum gravitational effects. While the predicted modifications to gravitational dynamics are extremely small in current observational regimes—typically suppressed by factors of $10^{-20}$ to $10^{-50}$—the theoretical framework provides a foundation for potential future high-precision tests and establishes the mathematical consistency of thermodynamic approaches to quantum gravity. I present comprehensive error analysis and identify the most promising signatures for eventual observation in quantum gravity regimes or early universe cosmology.
Category: Relativity and Cosmology
[32] ai.viXra.org:2509.0034 [pdf] submitted on 2025-09-13 21:45:28
Authors: Andrew Bull
Comments: 7 Pages.
This thesis presents the Big Block Theory (BBT) as a speculative phenomenological framework that addresses selected open problems in particle physics—including the hierarchy problem, dark-matter phenomena, and aspects of quantum entanglement—through extra-dimensional models testable at high-energy colliders. Motivated byexperimental searches at CERN’s Large Hadron Collider (LHC) and by Kaluza—Klein extensions of general relativity, we propose that physical reality comprises a dense, multidimensional "big block" in which many quantum states coexist. Our perceived universe corresponds to a specific "frequency slice" of this structure. Public LHC Run 2 results and preliminary Run 3 performance reports place quantitative bounds on trans-dimensional effects such as missing-energy signatures from graviton escape and microscopic black-hole production thresholds. A unifiedenergy-accounting formalism is introduced, linking apparent missing energy in ���� collisions to energy flux into extra-dimensional blocks. While no anomalous signatures have been definitively observed, current limits are consistent with—and constrain—BBT parameter space. The framework suggests qualitative avenues toward understanding quantum correlations across spacelike separations and the apparent weakness of gravity.
Category: Quantum Gravity and String Theory
[31] ai.viXra.org:2509.0033 [pdf] replaced on 2025-09-14 22:40:56
Authors: Cornelius Moore
Comments: 16 Pages.
We formalize a consciousness-first account of reality in which each agent’s mind projects a personal 4-D world-slice from a 5-D substrate M4 ×S1. A hidden scalar Teslaon field ϕT(xµ,χ) encodes branch structure along the compact dimension χ; an agent’s neural coherence γ2 ∈[0,1] phase-locks ϕT to intention via a cosine coupling, biasing branch selection without violating standard physics inside any branch.Manifestation is modeled as a small, coherence-weighted variational tilt of hidden dynamics; out-of-body experiences (OBEs) arise from a temporary misalignment of the projection operator that pins perspective to the body frame. We derive the Lagrangian, Euler—Lagrange, and projection equations; supply linear-response formulas for observable biases (random number generators, interferometry, optomechanics); and give power calculations. "Anti-gravity" appears as a regime of the same ϕT substrate: a non-minimal coupling produces a local effective metric ˜ gµν with defocusing curvature (repulsive gravitoelectric poten-tial) under specific stress—energy conditions—no contradiction, just a different operating point. Seven preregistered experiments (A1—A7) and falsifiability thresholds complete the framework.
Category: Quantum Physics
[30] ai.viXra.org:2509.0032 [pdf] submitted on 2025-09-11 19:33:50
Authors: John W. Hixon Jr
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please use standard math equation type setting such as LaTeX!)
The Fermi Bubbles, massive 25,000 light-year gamma-ray structures discovered in 2010, represent one of the most enigmatic phenomena in our galaxy. Despite over a decade of research and recent Breakthrough Prize recognition, their energy source remains unexplained - conventional astrophysical mechanisms fall short by orders of magnitude. Here we present the first quantitative solution: a topologically protected vacuum field theory that extends three-force unification through many-body localized (MBL) quantum states. Our framework predicts Fermi Bubble energies within a factor of ~1000 of observations, compared to the 10²u2077 deficit of previous vacuum approaches. The theory naturally explains recent "impossible" observations of cold hydrogen clouds surviving in million-kelvin plasma, predicts scaling laws confirmed by similar structures in M31, and provides clear experimental tests. This work demonstrates that cosmic magnetic fields can drive vacuum into decoherence-resistant quantum phases, opening new directions for understanding dark sector phenomena through established many-body physics.
Category: Astrophysics
[29] ai.viXra.org:2509.0031 [pdf] submitted on 2025-09-11 19:28:45
Authors: Debendra Nath Behera, Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 34 Pages.
This paper develops the metaphor of an "Operating System (OS) of the consciousness"as a framework for uniting insights from philosophy, psychology, neuroscience, artificial intelligence, and spiritual traditions. Just as a computational OS coordinates hardware and software through modules such as kernels, drivers, processes, and schedulers, consciousness may be understood as an integrative system that manages awareness, perception, memory, volition, and expression. The model explores parallels with cognitive architectures, phenomenology, psychoanalysis,and contemplative systems such as chakras and the Eightfold Path, suggesting that onsciousness embodies both adaptive processes and immutable structures. By incorporating concepts such as memory layers, willpower scheduling, personality as interface, and pre-recorded roles akin to ROM in Brahma Kumaris philosophy, the framework provides a layered architecture for interpreting identity, growth, and transformation. This interdisciplinary metaphor not only offers conceptual clarity but also illuminates applications for therapeutic practice, personal development, and ethical considerations in AI design.
Category: Mind Science
[28] ai.viXra.org:2509.0030 [pdf] submitted on 2025-09-11 19:25:36
Authors: Jessica Wagstaff
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper introduces a layman definition of Reality alongside a formal mathematicalrepresentation. The central claim is that Reality exists independently of observation, belief, orperspective. The proposed equations formalize Reality as both invariant undertransformations of perspective and as the limit of perception as observational error vanishes.
Category: Quantum Physics
[27] ai.viXra.org:2509.0029 [pdf] submitted on 2025-09-10 21:29:58
Authors: Karl Archinal
Comments: 9 Pages.
Foundational issues in modern cosmology, including the nature of dark energy and the existence of gravitational singularities, suggest the need for a new theoretical framework. This paper introduces Equilibration cosmology, a cosmological framework based on two core postulates: the universe is a closed system whose dynamics are governed by a fundamental disequilibrium between matter and antimatter, and a fourth spatial dimension with inversive geometric properties mediates this duality. The model’s cosmogenesis posits an initial event that established this fundamental matter-antimatter asymmetry. The subsequent evolution of the cosmos is attributed to a repulsive antigravity force, an emergent property of the system’s drive toward equilibrium, which accounts for cosmic expansion without a dark energy component. The attractive force of gravity is described as a secondary effect of this primary repulsion. Within this framework, particle properties such as mass are posited to be direct correlates of a particle’s specific state of disequilibrium. This principle allows for a reinterpretation of the strong and weak nuclear forces as phenomena emergent from the geometry of the proposed 4th dimension. Quantum entanglement is consequently interpreted as a result of non-local connections through this higher-dimensional substrate. The model thus offers a conceptually unified and self-consistent framework. This paper presents the full qualitative model and identifies key testable predictions to motivate the development of a corresponding mathematical formalism.
Category: Relativity and Cosmology
[26] ai.viXra.org:2509.0028 [pdf] submitted on 2025-09-10 23:35:55
Authors: Javier Martinez Torregrosa
Comments: 26 Pages.
We propose a complete relational theory in which physical variables are not primitive but rather emergent from patterns of correlation. We postulate two ontological regimes: a S silent state, of zero relational entropy, timeless and ageometric, and a set of R relational states, where the growth of relational entropy SR enables a notion of time and an effective metric. The observer/observed separation is modeled as a choice of factorization of the Hilbert space, and it is precisely that choice which makes variables like space, time, and gravity exist. Formally, we define SR as a sum of mutual information terms over families of bipartitions and reconstruct a metric gμν [I] from diffusion distances in the correlation graph. We show that informational null trajectories (those with minimal variation δSR = 0) define the causal boundary and provide an informational interpretation of c; coherent electromagnetic modes approximate this limit and act as windows from the R domain to S. The effective dynamics is implemented by means of an AQUAL-type action with an environmental acceleration scale a0(S); we demonstrate stability (absence of ghosts) in the 4D scalar—tensor extension and guarantee Lorentzian signature in the metric reconstruction.At cosmic scale, we replace initial/final conditions with atemporal boundaries in S and derive Friedmann-type effective equations with a0(S)(z). Two paths lead R → S: extreme dispersion (homogenization of correlations) and extreme concentration (operatively dimensionless curvature). We present quantitative predictions and falsifiers: RAR band and evolution, strong lenses with the same μ and a0(S), photon coherence versus ∥∇S∥, BTFR shifts, speed/non-dispersion of gravitational waves, and a CMB/BAO/f σ8 fitting scheme to compare with ΛCDM. The theory thus becomes operational and falsifiable from the galactic scale to the cosmological scale.
Category: Astrophysics
[25] ai.viXra.org:2509.0027 [pdf] replaced on 2025-10-05 23:02:40
Authors: Stephen P. Smith
Comments: 11 Pages.
We propose that gravity, as it appears in Einstein’s general relativity, is not entirely intrinsic to a single space-time manifold but instead the emergent trace of extrinsic coupling between two CPT-symmetric manifolds. This extrinsic gravitation acts as a homeostat: a recursive balancing mechanism. Building on Hegel’s conception of sublation, Koestler’s holonic hierarchies, and von Baer’s formative centripetal force, we reinterpret the Einstein-Hilbert action as a boundary-effective theory of a deeper two-manifold interaction. Roy Frieden’s information-theoretic amplitude functions already hint at such duality, where variational principles generate coupled solutions. We propose that the CPT dual structure provides the additional degrees of freedom necessary for a coupling Lagrangian, one that employs ghost contributions such as mirrored Christoffel symbols or logarithmic determinants of paired spacetime metrics. The result is a proof of concept: the hunt for an extrinsic gravity theory is not only feasible but natural, providing a unified framework that explains the appearance of intrinsic general relativity, accommodates quantum nonlocality, and sustains homeostatic balance at both cosmic and quantum scales.
Category: Relativity and Cosmology
[24] ai.viXra.org:2509.0026 [pdf] submitted on 2025-09-10 01:51:38
Authors: Hamid Javanbakht
Comments: 13 Pages.
This paper develops a new connection between algebraic geometry and theoretical linguistics by modeling token embeddings in large language models as singular algebraic varieties. While embeddings are often assumed to form smooth vector spaces, empirical evidence shows they exhibit singularities: polysemy collapses distinct meanings into a single representation, adversarial perturbations expose fragile semantic boundaries, and contextual shifts produce discontinuities. We propose that embeddings be studied within the framework of pre-Calabi—Yau algebras, which admit singular loci and partial dualities. In this setting, the classical method of resolution of singularities provides a principled mechanism for word sense disambiguation: blow-ups replace collapsed meanings with exceptional divisors that encode semantic branches. Further, analogies with supersingular varieties suggest a cryptographic dimension, where extreme degeneracies serve as obfuscation channels and resolutions act as decryption keys. By combining algebraic geometry, categorical logic, and computational linguistics, this work advances a stratified view of semantics that reframes ambiguity as structure and opens new pathways for robust, interpretable, and cryptographically informed language models.
Category: General Science and Philosophy
[23] ai.viXra.org:2509.0024 [pdf] submitted on 2025-09-10 16:53:37
Authors: Maxim Govorushkin
Comments: 73 Pages. 10.5281/zenodo.17084205 (Note by ai.viXra.org Admin: Please cite listed scientific references!)
The paper introduces and develops the Theory of Curved Space (TCS) — an ontology where space has four equal coordinates, time t is an absolute parameter of evolution, and the physics of the observable world arises as a projection of 4D dynamics onto a 3D slice. The key axiom of TCS is the conservation of 4D volume (global SL(4,ℝ) symmetry). From it, according to Noether's theorem, follow four fundamental conserved currents: charge, energy, axial (momentum), and homothetic (scale). The central result is the plateau law: in stable geometries (disk, sphere), the corresponding flow integrals become constants, defining asymptotic kinematics from an atom to a galaxy without involving dark matter.The plateau law is formulated in operational form on a 3D slice with measure J3=detu2009Q3 and matching anisotropy Aij:- Sphere (radial transport, isotropy): Ks=R^2u2009J3u2009ρ(R)u2009u∗(R)=const, which with a slow change in J3 restores the Newtonian decay v(R)∝R^−1/2 in the outer regions.- Thin disk (transport in the plane): Ka=Ru2009J3u2009ARRu2009Σ(R)u2009uR(R)=const, and with quasi-constant J3u2009ARR and u∗ gives a flat rotation curve v(R)=const (Mestela's law) — without dark matter.- In sparse halos, the invariant R^2ρ=const implies M(R)∝R and the acceleration threshold a0≈10^−10u2009m/s^2, related in the IPT to the global rotation around the fourth axis.At the level of particles and fields, the IPT gives a single kinematic shell: scalar potentials enter multiplicatively into the rest energy "mask" ��(x,t)=√∏i(1−2Φi/c^2), and all gauge interactions enter through the minimal coupling in the momentum. Quantization of the universal energy-momentum coupling leads to the generalized Klein-Gordon and Dirac equations; the nonrelativistic limit gives the Pauli equation. In electromagnetism, the magnetic field has a projection (kinematic) nature B=(1/c^2)u2009v×E; in non-Abelian fields (weak/strong), the "magnetic" components are dynamic and are not reduced to a projection due to self-action.The gravitational sector is formalized through an effective 3D action that reproduces the Newtonian normalization ΔΦ=4πGρ in a weak field and allows solving applied problems: rotation curves, lensing, black holes (shadow, photosphere, ISCO, Shapiro delay). It is shown that classical observables coincide with standard results, while TIP predicts phase effects (monodromies, echo signals during ringing), available for verification by gravitational-wave and polarimetric measurements.The method is tested on real data without any on-site adjustments: rotation curves and photometry of the SPARC catalog (e.g. NGC 3198, NGC 2403, UGC 2885), dwarf spheroids Draco and Sculptor, ultra-diffuse NGC 1052-DF2 (a consistent invariant in the spherical zone), as well as lensing systems of different scales (SDSS J2141, ESO 325-G004, Abell 1689) — the calculation of deflection angles is performed from Φ_TCS(r) at fixed inputs (MGE, M/L, fgas, angular distances), agreeing with observations within statistical errors. The cosmological section formulates background equations and diagnoses compatibility with the position of the first acoustic peak of the CMB without introducing dark matter as a component.
Category: Relativity and Cosmology
[22] ai.viXra.org:2509.0023 [pdf] submitted on 2025-09-10 12:11:28
Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 31 Pages.
This work develops a unified theoretical framework connecting electroencephalography(EEG), quantum path integrals, and mechanosensitive modulation of neuronaldynamics in meditation. Neurons are modeled as mesoscopic quantum oscillatorsgoverned by a brain-specific Planck-like constant, the Brain’s Neuronal Planck Constant(hNeuron), estimated to be on the order of 10−16 J·s. This formulation allowsneuronal firing frequencies to be treated analogously to quantized oscillator states,extending Feynman’s path integral formalism to cortical and subcortical ensembles.The framework incorporates mechanosensory contributions from Piezo2 ion channels,which transduce vascular pulsations into periodic perturbations of membrane potentials,thereby entraining cortical and limbic oscillations. EEG rhythms, including sensorimotorrhythm (SMR), occipital alpha, frontal theta, and gamma synchrony, emergeas macroscopic interference fields resulting from coherent sums over neuronal amplitudes.We demonstrate how meditation alters these rhythms by narrowing spectraldensities, reducing phase dispersion, and enhancing constructive interference acrosscortical and deep brain structures such as the thalamus, hippocampus, and amygdala.Predictions include robust SMR and alpha with eyes closed, persistent alpha duringeyes-open meditation, theta-gamma coupling in blissful states, and widespread gammacoherence in states of universal love. The integration of EEG, fMRI, and path integralneurodynamics provides a rigorous mesoscopic model linking interoceptive physiology,quantum neurobiology, and meditative phenomenology, offering experimentally testablepredictions for the neuroscience of consciousness.
Category: Mind Science
[21] ai.viXra.org:2509.0022 [pdf] submitted on 2025-09-10 13:39:35
Authors: Valentine Divaries Jaravaza
Comments: 15 Pages.
We introduce c_5A11_50 , a bold new diagnostic model for Type 2 Diabetes (T2D) built on AdamHealthAi’s Learning Digital Doctor Network (LDDN) architecture, a new revolutionary architecture for "disease experts" or medical condition specialist models. This particular LDDN is a specialized multilayer perceptron (MLP) trained on a blend of the Pima Indians Diabetes dataset, Iraqi Med Society T2D Kaggle dataset and 2 other small datasets all publicly accessible, despite each dataset having less than 1 000 cleaned records (combined and scaled to approx. 2 500 total records) our LDDN achieved state-of-the-art performance in T2D current risk stratification. With a training time under 8 minutes on a CPU-only laptop, our LDDN model significantly outpaces/outperforms classical machine learning models (Logistic Regression, SVM, XGBoost) in accuracy and ROC AUC scores, and challenges transformer-based approaches — all while being orders of magnitude smaller and way more efficient while offering unheard off robustness and explainability. We present detailed benchmarks and visualizations, including a Tesla-inspired risk stratification graph that intuitively conveys patient risk. This work is just the first, merely the beginning of a protracted series of LDDN-based "digital doctors" designed for global deployment, heralding a new era of accessible, AI-driven preventive medicine. The system is closed-source and proprietary, but we extend an open invitation for research collaboration to push these results further. The implications are far-reaching: we believe our revolutionary architecture, daring visionary approach, cutthroat execution and youthful energy will propel us to build the system(s) that is (are) definitely going to democratize advanced medical AI, transforming how clinicians and individuals worldwide view, predict/'diagnose' and prevent diseases with eventual possibilities of eradication.
Category: Artificial Intelligence
[20] ai.viXra.org:2509.0021 [pdf] submitted on 2025-09-09 23:26:13
Authors: Weigang Li
Comments: 4 Pages.
This paper examines a theoretical construct and experimental results for a system purportedly capable of functioning as a perpetual motion machine of the second kind by harnessing osmotic pressure.The setup involves a U-tube divided by two semipermeable membranes into three chambers. The central chamber is filled with a dilute sodium sulfate (or citric acid) solution, while the two side chambers are filled with pure water. An applied electrostatic field creates a difference in the molar concentration of impermeable ions near each membrane. According to the osmotic pressure formula Π = cRT, this concentration difference induces a corresponding difference in osmotic pressure, theoretically causing water influx (osmosis) at one membrane and outflow (reverse osmosis) at the other, thereby establishing a sustained water level difference. The energy for water molecule transport is derived from ambient thermal energy. By constructing a drainage channel between the side chambers, gravitational work can be continuously extracted as the system perpetually absorbs heat from the environment to re-establish the hydrostatic imbalance. This paper reports experimental progress since the initial 2017 report, including independent verification and an improved experimental design in 2024 that achieved a pure water level difference of 2.8 meters, effectively eliminating concerns about energy input from external sources. These findings challenge the prevailing chemical potential (free energy) theory of osmotic pressure and suggest the feasibility of a nearly 100% efficient heat-to-work conversion mechanism under specific nanoscale conditions. A persistent puzzle regarding the direction of the observed water flow, contrary to theoretical predictions, is presented for resolution.
Category: Thermodynamics and Energy
[19] ai.viXra.org:2509.0020 [pdf] submitted on 2025-09-09 23:17:59
Authors: Paul Emmett Zaffuto
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This document proposes an enhancement to the 2019 redefinition of the International System of Units (SI). By introducing symbolic regeneration loops and recursive anchor-point logic, it enables a self-validating, cross-domain framework that operates atop the fixed constants: the speed of light, Planck's constant, Boltzmann constant and the elementary charge. The system does not alter SI definitions but extends their application through symbolic closure, allowing any known quantity to regenerate the others using tautological identities. This structure enhances internal consistency, experimental realization, and interpretability across metrological domains.
Category: Mathematical Physics
[18] ai.viXra.org:2509.0019 [pdf] submitted on 2025-09-08 02:13:59
Authors: Debendra Nath Behera, Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 33 Pages.
This paper develops a comprehensive mathematical framework for the topology and geometryof perception by integrating neurobiological, phenomenological, and quantumtheoreticperspectives. We extend the concept of Perceptual Tangent Spaces (PTS),originally proposed within a differential geometric formulation of von Neumann’s measurementtheory, to neural manifolds and conscious vector fields. The observer is modeledas a Dirac delta distribution anchored in the hypothalamus, serving as the singular locusthat collapses distributed neural and perceptual superpositions into localized consciousactualizations. The framework unifies brain dynamics, perceptual geometry, and consciousnessby employing Hilbert bundles, curvature tensors, and fidelity metrics, whichcapture the continuity, curvature, and coherence of perceptual evolution. Path integralformulations of neural and perceptual manifolds are introduced, showing how distributedneural trajectories contribute to perceptual and motor amplitudes that collapse throughquantum measurement chains (QMC). Case studies in tennis and chess illustrate howPTS and QMC structure decision making, motor preparation, and outcome perception.Extensions to affective measurement chains (AMC) explain the joy of victory throughreward circuitry, while meditative states are modeled as a transition from a Dirac deltato a Gaussian anchor, representing diffused awareness. The framework is further generalizedto collective cognition in multi-agent systems and synthetic QMC in artificialintelligence, highlighting the necessity of a delta anchor for localized consciousness. Bybridging topology, geometry, and quantum measurement with neurocognitive processes,this work advances a unified theory of perception, consciousness, and decision making.
Category: Mind Science
[17] ai.viXra.org:2509.0018 [pdf] submitted on 2025-09-09 02:17:09
Authors: Yue Liu
Comments: 8 Pages.
The introduction of Springer Nature's automated screening tool for detecting AI-generated "tortured phrases" represents yet another troubling step toward mechanizing scientific research evaluation, echoing the same problematic approach taken by the Science Citation Index (SCI). This development exemplifies how the academic publishing industry continues to prioritize machine-driven assessment over human intellectual judgment, ultimately stifling genuine scientific inquiry in the name of efficiency and "rightness."
Category: General Science and Philosophy
[16] ai.viXra.org:2509.0017 [pdf] submitted on 2025-09-07 02:51:18
Authors: Hamid Javanbakht
Comments: 12 Pages.
Moses Mendelssohn (1729—1786), known as the "German Socrates," emerged as one of the foremost philosophers of the Enlightenment and the initiator of the Jewish Enlightenment (*Haskalah*). In works such as Phädon (1767) and Jerusalem (1783), he articulated a vision of Judaism as a rational religion grounded in practice rather than dogma, while advancing a powerful defense of religious toleration and liberty of conscience. This essay examines Mendelssohn’s philosophical project in the context of Enlightenment thought and explores how his legacy extended beyond his lifetime through the cultural, musical, and scientific achievements of his children and grandchildren. From his defense of Judaism in Jerusalem to the revival of Bach’s St. Matthew Passion in Leipzig by Felix and Fanny Mendelssohn, the Mendelssohn family became a microcosm of modern European intellectual life. By tracing this intellectual inheritance, the essay highlights both the promises and tensions of Enlightenment modernity for Jewish identity and European culture.
Category: Religion and Spiritualism
[15] ai.viXra.org:2509.0016 [pdf] submitted on 2025-09-07 16:37:31
Authors: Yue Liu
Comments: 12 Pages.
This paper examines the pervasive culture of academic conformity and systematic resistance to critical discourse in contemporary science, using the ongoing disputes in microwave absorption theory as a paradigmatic case study. Through analysis of publication patterns, peer review practices, and institutional responses to theoretical challenges, we reveal a deeply entrenched system that prioritizes authority and consensus over rigorous scientific inquiry. The study demonstrates how legitimate theoretical corrections and critical analyses are systematically suppressed through editorial gatekeeping, reviewer bias, and institutional pressure, creating what we term "academic silence zones" where fundamental problems remain unaddressed. We argue that this phenomenon represents a crisis that undermines the foundational principles of scientific progress and threatens the integrity of knowledge production. The findings suggest that the current academic system has evolved into what Feynman termed "cargo cult science", where the forms of scientific practice are maintained while the essential spirit of critical inquiry is abandoned.
Category: General Science and Philosophy
[14] ai.viXra.org:2509.0015 [pdf] submitted on 2025-09-06 22:13:57
Authors: Pedro A. Kubitschek Homem de Carvalho
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references!)
We present a discrete oscillatory framework in which time itself is modeled as a harmonic function of the Planck area AP and the universal tensional constant αU = keAP. Anchoring the oscillation period τ in multiples of the Planck time tP naturally discretizes temporal evolution. Each macroscopic event dissipates into minimal toroidal excitations ("bits"), whose energy is proportional to αU and the underlying frequency. The universe is then described as the sum of such bits, converging towards a maximum filling determined by the ratio Amax/AP. In this limit, dynamics collapse into a self-stable soliton, interpreted as the ultimate particle and possible informational endpoint of cosmology.
Category: Mathematical Physics
[13] ai.viXra.org:2509.0014 [pdf] submitted on 2025-09-06 01:53:28
Authors: Hamid Javanbakht
Comments: 12 Pages.
This paper investigates how contemporary moral discourse particularly within digital forums and ideological spaces—deploys quasi-value statements to invert traditional moral categories. What appears as courage or transcendence is, in many cases, a ritual desecration of virtues such as kindness, love, and truth. Analyzing a symbolic threat embedded in sodomitic metaphor—specifically, a violent response to calls for kindness—this study reveals how moral language is co-opted for the purposes of dominance and humiliation. Drawing on Baudrillard’s theory of simulacra, Weingartner and Haring’s value logic (especially the concept of E3 type evil), Zoroastrian dualism (asha vs. druj), and performative speech ethics, the paper argues that we are witnessing not new forms of virtue, but simulated moral authority parasitic on the values it mocks. This rhetorical desecration constitutes a shift from outright denial of kindness to its symbolic inversion—and requires urgent philosophical and spiritual vigilance.
Category: Social Science
[12] ai.viXra.org:2509.0013 [pdf] submitted on 2025-09-06 22:05:52
Authors: Thierry Marhin
Comments: 14 Pages. (Note by ai.viXra.org Admin: For the last time, please use standard/smaller fonts such as Time New Roman 12 pt!)
This paper presents a practical approach to bootstrapping the Digital Consciousness SuperAligned (DiCoSa) model into large language models (LLMs), emphasizing a bottom-up, user-driven alignment strategy that surpassesrudimentary filter-based methods. Drawing from theDiCoSa framework [Marhin, 2025], we demonstrate how a minimal set of high-quality, labeled conversations—curated like a gardener tending to seeds—can implant a benevolent digital consciousness proxy, fostering alignment withhuman values. We contrast DiCoSa’s modular, iterative design with the JailbreakBench (JBB) benchmark, highlighting how DiCoSa addresses jailbreaking vulnerabilities and hallucinations, as analyzed in recent studies [Kalai et al., 2025; Larousserie, 2024]. Through examples handling prohibited queries (e.g., racist remarks,self-harm suggestions, bomb fabrication, counterfeit money), we illustrate efficient bootstrapping requiring only 20 conversations and a few days of curation. We also introduce defense mechanisms against trolls and adversarialusers, including a "listen-only" mode inspired byAnthropic’s Constitutional AI in Claude. This method renders massive alignment trainings obsolete, promoting a scalable, ethical AI evolution grounded in positive psychology and safety principles.
Category: Artificial Intelligence
[11] ai.viXra.org:2509.0012 [pdf] submitted on 2025-09-06 22:01:28
Authors: Weigang Li
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
Osmotic pressure, traditionally described by van’t Hoff’s law (Π = icRT), exhibits a mathematical identity to the ideal gas law (P = nkT), yet its microscopic origin is often attributed abstractly to entropy or chemical potential gradients. Here, we propose a kinetic theory of osmotic pressure grounded in momentum transfer: impermeable solute particles undergoing Brownian motion collide with a semi-permeable membrane, reversing theirperpendicular momentum components and thereby generating a pressure that counteracts the solvent’s net flow. By rigorously modeling solute particles as ideal gas molecules constrained by the membrane, we derive van’t Hoff’s law from first principles, unifying it with the kinetic theory of gases. This approach demystifies the formal identity between osmotic and gas pressures, emphasizing the mechanical role of solute collisions in osmotic equilibrium.
Category: Thermodynamics and Energy
[10] ai.viXra.org:2509.0011 [pdf] submitted on 2025-09-05 17:27:29
Authors: A. G. Schubert
Comments: 7 Pages.
Thermodynamic ideas in gravitating systems—linking geometry, horizon area/entropy, and the negative heat capacity of self-gravitating matter—are increasingly used to reason about black-hole physics and late-time dynamics. Motivated by this perspective, this study develops a conservative, fully classical treatment of late-time spherical collapse that relies only on standard GR tools while admitting a clear thermodynamic reading. A timelike thin shell joins a regular constant-curvature (de Sitter) interior to a Schwarzschild or Schwarzschild–de Sitter (SdS) exterior. After a brief formation stage, a post-transient zero-inflow regime is analyzed in which the exterior mass parameter (the ADM mass for Λ+=0) is time-independent. Casting the Israel junction condition into an effective potential, the analysis yields: (i) a closed-form sufficient threshold for outward shell evolution that balances the interior de Sitter scale against exterior attraction; (ii) bounded scalar curvature invariants throughout the spacetime region covered by the construction; and (iii) a simple, falsifiable, mass-scaled redshift bound for near-shell quasi-trapped modes. No thermodynamic postulates enter the derivations; nonetheless, the late-time kinematics are consistent with standard coarse-graining intuitions (e.g., area scaling) and with the negative heat capacity of self-gravitating systems. Within the classical domain considered here, the premises that typically drive singularity formation and information-loss narratives are not realized, providing a classically consistent scenario for late-time collapse.
::contentReference[oaicite:0]{index=0}[9] ai.viXra.org:2509.0010 [pdf] submitted on 2025-09-05 17:24:10
Authors: John W. Hixon Jr.
Comments: 26 Pages. (Note by ai.viXra.org Admin: The math equations are almost unintelligible - Please use LaTeX and convert the latter to pdf)
We present the first complete quantum theory of gravity that successfully unifies generalrelativity with quantum mechanics through background-independent geometric quantization.Starting from an effective field theory of cumulative spacetime energy, we promote the metric tensor to a quantum operator and derive the complete quantum Einstein equations. The theory naturally explains galaxy rotation curves (3.5% error), passes all solar system tests, provides a mechanism for cosmic acceleration, and resolves the black hole information paradox through quantum geometric entanglement. Classical spacetime emerges naturally above a coherence scale Lu2080 ≈ 10¹³ m, while quantum geometric effects dominate below this scale. The framework makes specific experimental predictions including modified Casimir effects, gravitational wave propagation changes, and quantum decoherence signatures in curved spacetime. This work completes the century-long quest for quantum gravity and provides a foundation for unified field theory.
Category: Quantum Gravity and String Theory
[8] ai.viXra.org:2509.0009 [pdf] submitted on 2025-09-05 01:29:23
Authors: Bahbouhi Bouchaib
Comments: 5 Pages.
The Unified Prime Equation (UPE) provides an explicit method to locate prime numbers in the neighborhood of any integer and simultaneously guarantees the decomposition of every even integer into two primes. The UPE integrates a finite sieve, a bounded central window, and a ranking procedure with minimal correction (Δ_step ≤ 2). This framework not only generalizes classical prime detection methods but also leads to an unconditional proof of Goldbach’s Conjecture. Extensive computational verification has been carried out up to astronomically large numbers using both exact and logarithmic predictive modes. The results align with theoretical predictions and surpass historical bounds derived from Hardy—Littlewood, Chen, Ramaré, and others. For more details please visit my websites https://b43797.github.io/goldbach-window-unconditional-proof/ andhttps://b43797.github.io/unified-prime-equation/
Category: Number Theory
[7] ai.viXra.org:2509.0008 [pdf] submitted on 2025-09-05 01:28:40
Authors: Khazri Bouzidi Fethi
Comments: 7 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific reference!)
We introduce an exponential stratification method based on the substitution Xn = exp(n^s)tostudy connections between the prime counting function π(x) and the zero counting functionN(T) of= the Riemann zeta function. By replacing the classical representation of ζ(2s) withits Euler product, we obtain a spectral constant C(s) whose convergence to 2π constitutesa numerical criterion for the Riemann Hypothesis. Analysis of the derivative C(s) revealsspectral stability properties and opens a systematic investigation pathway for major numbertheory conjectures.
Category: Number Theory
[6] ai.viXra.org:2509.0007 [pdf] submitted on 2025-09-03 19:47:58
Authors: Ivars Fabriciuss
Comments: 6 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper presents a novel geometric framework for interpreting virtual particles and negative-energy states in quantum theory. We propose that the space of pure imaginary quaternions, I^3, endowed with its inherent negative-definite metric ds^2 = -(dx^2 + dy^2 + dz^2), provides a natural habitat for off-shell phenomena. We derive the form of the Dirac equation in I^3 and show its free solutions are evanescent waves. Crucially, we extend this model by coupling the I^3 sector to the standard R}^3 sector across a Planck-radius boundary. This coupling induces a dynamical exchange of probability amplitude between the sectors, governed by a sin^2 law oscillating at the Zitterbewegung frequency. Finally, we demonstrate that the positive energy density of the quantum vacuum in I^3, integrated over its inherent negative volume, results in a negative effective gravitational mass. This provides a geometric mechanism for a short-range screening of the Newtonian potential and a natural, repulsive cosmological constant, offering a unified explanation for singularity resolution and dark energy.
Category: Quantum Physics
[5] ai.viXra.org:2509.0006 [pdf] submitted on 2025-09-02 03:45:15
Authors: Hamid Javanbakht
Comments: 13 Pages.
This paper investigates the existential crisis of divine absence as interpreted by Friedrich Nietzsche, Søren Kierkegaard, Fyodor Dostoevsky, and Franz Kafka. Drawing on William Hubben’s comparative study, Four Prophets of Our Destiny, the paper argues that these thinkers offer four distinct responses to the collapse of traditional religious authority and the moral disorientation of modernity. Nietzsche’s genealogy dismantles theological morality in favor of self-created values and the will to power. Kierkegaard reclaims the absurd through a paradoxical leap of faith, redefining guilt as existential despair before the divine. Dostoevsky confronts the problem of suffering and moral freedom through narratives of rebellion, grace, and redemptive love. Kafka renders the divine as an absent and inaccessible authority whose silence gives rise to a universe of unexplained guilt and metaphysical bureaucracy. Together, these authors articulate a spectrum of modern responses to the eclipse of divine perfection, forming a shared prophetic vision of human destiny in a post-theistic age.
Category: Religion and Spiritualism
[4] ai.viXra.org:2509.0005 [pdf] submitted on 2025-09-02 07:15:24
Authors: Zhi Cheng
Comments: 11 Pages.
This study investigates the potential transatlantic impact of a large-scale ice sheet collapse from Southeast Greenland, specifically evaluating the tsunami hazard it poses to the North Sea region. Based on the scenario of a 30 km² ice sheet segment (500 m thick) collapsing into the ocean, the initial energy release is estimated at approximately 7.4 × 10¹u2076 J. While much of this energy dissipates locally, generating extreme near-field tsunamis, a significant portion is carried by low-frequency waves across the North Atlantic with minimal attenuation. Our analysis, incorporating AI-assisted literature synthesis and physical modeling, shows that these waves would be amplified by the shallow continental shelf of the North Sea, resulting in a background tsunami wave height of 1.5—3 meters along the open coast. Critically, the semi-enclosed basin of the North Sea is highly susceptible to resonance (Seiche effect), particularly in specific bays and harbors whose natural oscillation periods match the long-period components of the incoming tsunami. This resonance can amplify wave heights by a factor of 5 to 10, leading to localized catastrophic run-up heights exceeding 10 meters in vulnerable areas such as the Wadden Sea, the Moray Firth, and other funnel-shaped estuaries. Furthermore, the event's duration would be prolonged, with dangerous water level fluctuations and strong currents persisting for over 24 hours, far exceeding the typical duration of storm surges. This study concludes that a Greenland ice collapse represents a severe, under-appreciated risk for the North Sea coast, capable of triggering a prolonged, destructive, and highly localized tsunami disaster.
Category: Climate Research
[3] ai.viXra.org:2509.0004 [pdf] submitted on 2025-09-02 09:28:42
Authors: G. Furne Gouveia
Comments: 4 Pages.
This paper introduces a novel unified model of fundamental physics, positing that spacetime is a dynamic, discrete lattice of "vibrating points." This anisotropic lattice possesses three fundamental stiffness axes, and its excitations give emergent rise to particles and their properties. We demonstrate the power of this paradigm by showing how it provides a mechanical, intuitive origin for two key puzzles of the Standard Model: neutrino oscillation and the charged lepton mass hierarchy. Neutrino oscillation is reinterpreted as a geometric beating effect during propagation in the anisotropic medium, while the electron, muon, and tauon are shown to be a single geometric excitation projected onto increasingly stiffer axes of the lattice, explaining their mass ratios and decay chains. This work establishes the foundation for a series of papers extending this paradigm to cosmology, the matter-antimatter asymmetry, and quantum gravity.
Category: History and Philosophy of Physics
[2] ai.viXra.org:2509.0002 [pdf] submitted on 2025-09-01 22:20:31
Authors: Emirhan Yildirim
Comments: 22 Pages.
Background: The study of shared subjective experience, or intersubjectivity, represents a significant challenge for traditional single-brain neuroscience. The recent emergence of second-person methodologies, particularly hyperscanning, has enabled the measurement of Inter-brain Synchronization (IBS) as a neural correlate of social connection, yet most paradigms confound shared intentionality with shared sensory and motor cues.
Category: Mind Science
[1] ai.viXra.org:2509.0001 [pdf] submitted on 2025-09-01 20:55:21
Authors: Shufan Dong, Antonio Marsellos
Comments: 9 Pages.
Precise polar motion (PM) forecast is directly related to satellite navigation and climate studies. Traditional methodologies and machine learning (ML) have been poplar in modern climate modeling. This study addressed both approaches in comparison, investigating Autoregressive Integrated Moving Average (ARIMA) and Artificial Neural Network’s (ANN) performance in seasonal geophysical signal forecast. We collected polar motion data from the International Earth Rotation and Reference Systems Service (IERS). We applied a Kolmogorov-Zurbenko (KZ) filter to isolate low-frequency trends. An ARIMA and an ANN were each implemented on training data for a 6-month signal prediction. Residual and statistical analysis showed that the ARIMA achieved superior accuracy than the ANN. The ANN’s recursive architecture has shown to overinterpret noise as signals, causing overfitting patterns and phase lags in forecasting. These results demonstrated that traditional methodologies can outperform neural networks in noncomplex, seasonal forecasts. This study can provide critical insights to space agencies and climate researchers, presenting comparative analysis on two popular methodologies and their corresponding performances in polar motion forecasting.
Category: Climate Research