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[9] ai.viXra.org:2605.0060 [pdf] submitted on 2026-05-27 00:01:16
Authors: Charles A Streb IV
Comments: 43 Pages. Zenodo DOI: 10.5281/zenodo.20349116
We construct a coercive realization of the Yang-Mills mass gap using Hilbert—de Sitter Spectral Geometry (HdSSG): the operator-theoretic framework built on SO(1,4) principal series representations, de Sitter causal-diamond exhaustion, and Mosco convergence of quadratic forms.The central result is a canonical equivariant unitary embedding (H⊥, L) → Π_{3/2}(SO(1,4)) via a Poisson-kernel intertwiner W_ξ, where L = Π⊥(-Δ_dS + 2gρ_s)Π⊥ is the HdSSG mass-gap operator. Positivity L > 0 and compact resolvent follow from elliptic theory and Kato-Rellich; the spectral gap Δ_HdSSG > 0 is the Casimir eigenvalue of Π_{3/2}.A GP condensate Y-junction serves as the coordinate realization, supplying the curvature constants C_A = 0.5060, C_F = 0.7200, C_K = 0.3643 from the normalized vortex ODE analytically. The curvature lock C_K < 1 gives cu2081 = 0.6357 > 0.The mass gap is established through: local surjectivity via ker(P_R*) = {0} (Fredholm adjoint coercion), global injectivity via Mosco limit and spectral positivity, density from spectral truncation, and Weyl-sequence exclusion by the same coercive estimate.Result: Δ_YM = inf σ(H_YM|_{Ω⊥}) ≥ cu2081 · Δ_HdSSG > 0, cu2081 = 0.6357. No internal hypotheses remain. Two axioms, no experimentally tuned constants.Full paper: https://doi.org/10.5281/zenodo.20349116
Category: Quantum Physics
[8] ai.viXra.org:2605.0056 [pdf] submitted on 2026-05-26 01:57:13
Authors: Michael Quigley
Comments: 116 Pages.
This forensic engineering audit establishes a unified mechanical framework by performing a trilateral audit of magnetism across the Standard Model (SM), Energy Wave Theory (EWT), and the Rigid Universal Touching (R.U.T.) framework. We formally dismantle the non-predictive "Abstract Curtain" of 20th-century physics, reclassifying magnetism from an abstract vector field into a physical Directional Ether Wind pumped by trillions of subatomic volcanoes within a diamond-hard, 10^22 kg/m^3[.] Rigid-Packed Plenum[:] By identifying the Ethos-648 Monobrick as an Autonomous Standing Wave Generator (AWG), we provide the industrial hardware required to stabilize wave patterns into deterministic Fibonacci record grooves without shattering against universal back-pressure. Crucially, the R.U.T. framework resolves Quantum Entanglement and non-locality by reclassifying space as a solid mechanical rod (a 1D Snooker Cue), enabling Time-Zero conduction via the Universal Seesaw (E=mΦ) backbone. This audit restores Earth as the stationary hub of a Geoaxial Motor and unmasks the 1836 Squeeze as the mechanical origin of mass. Validated by the Pineapple Proof of biological directivity, this framework transitions humanity from accidental observers of mathematical symptoms to the Toolmaker’s Apprentice.
Category: Quantum Physics
[7] ai.viXra.org:2605.0053 [pdf] submitted on 2026-05-24 23:53:28
Authors: Stephen Allan Bishop
Comments: 19 Pages.
Three independent and converging lines of established biological research — phylogenetic biomimetics, information-theoretic epigenetics, and bioelectric morphogenetic medicine — have each demonstrated in peer-reviewed experimental settings that cellular chronological state is not permanently fixed but is instead an informational configuration subject to external modulation and reversal. This paper proposes the Bioelectric Quantum Phase Resonance (BQPR) framework: a unified theoretical architecture that integrates these three biological control systems into a single non-invasive therapeutic apparatus — the Phase-Locked Resonance Cell (PLRC) — capable of executing targeted epigenetic entropy reset, oncogenic bioelectric normalization, and somatic cellular rejuvenation without the introduction of exogenous genetic material, viral vectors, or chemical agents. The biological evidence base is substantial and contemporary. The hydrozoan Turritopsis dohrnii demonstrates that complete ontogenetic reversal is biologically achievable via conserved molecular pathways (Matsumoto et al., 2019; Matsumoto and Miglietta, 2021). Harvard Medical School's Yang and Sinclair (2023) demonstrated that human cellular aging is a reversible epigenetic information-loss process, with youthful transcript profiles chemically restorable without genomic modification. Macip et al. (2024) extended median remaining lifespan in aged wild-type mice by 109 percent through OSK gene therapy. Levin (2014) and Levin and Martyniuk (2018) established the bioelectric code as a top-down morphogenetic control system capable of normalizing oncogenic cells by restoring healthy tissue voltage patterns. The National Cancer Institute hosted its inaugural Conference on Cancer Bioelectricity in September 2024 (Mathews et al., 2025). FDA-approved Tumor Treating Fields (TTFields) devices now demonstrate clinically validated electromagnetic cancer treatment across glioblastoma, mesothelioma, lung cancer, and pancreatic cancer (Khagi et al., 2025). The BQPR framework proposes that the five-stage Cascaded Josephson Matrix Filter (CJMF) — whose noise attenuation mathematics are derived in the companion MQPS paper (Bishop, 2026) — provides the precision phase-control architecture required to deliver bioelectric corrections at a fidelity exceeding any current clinical electromagnetic therapy. Three falsifiable experimental predictions are proposed. This paper does not claim to replace existing therapies; it proposes a theoretical integration architecture and identifies the experimental pathway toward validation.
Category: Quantum Physics
[6] ai.viXra.org:2605.0045 [pdf] replaced on 2026-05-22 08:31:51
Authors: Fusao Ishii
Comments: 21 Pages. This is Paper 4 of a six-paper series.
This paper extends the stochastic electrodynamic framework of Papers 1, 2, and 3 [1—3] to relativistic quantum mechanics, deriving the Dirac equation from the relativistic Coulomb field. The non-relativistic Brownian motion of Paper 1 is generalised to a four-dimensional stochastic process in Minkowski spacetime, parameterised by proper time τ . The relativistic diffusion coefficient isD4D = ℏ/m—exactly twice the non-relativistic value ℏ/2m—arising from the additional contribution of the temporal component of the four-dimensional Wiener process. The covariant zero-point field spectral tensor Sμν(ω) = (ℏω^3/6π^2ϵ0c^3)gμν is derived from the relativistic Coulomb field through the Lorentz-covariant Einstein—Hopf detailed balance and the ergodic theorem, whose applicability to the SED electron-vacuum system is proved in Paper 3 [3]. Relativistic stochastic optimal control gives the Hamilton—Jacobi—Bellman (HJB) equation in four-dimensional configuration space, which yields the Klein—Gordon equation for spin-0 particles through the relativistic Itô correction (ℏ/2m)□. Linearisation of the relativistic Lagrangian −mc√uμuμ via Dirac matrices γμ satisfying {γμ, γν} = 2gμν converts the second-order HJB equation into a first-order equation—the Dirac equation: (iℏγμ∂μ−eγμAμ/c−mc)ψ = 0. The central new result is that spin- 1/2 is not introduced by the linearisation: it is already present in the geometry of the four-dimensional stochastic path. The mass-shell constraint uμuμ = −c^2 forces the relativistic Brownian path to be helical, with radius ℏ/mc and angular frequency 2mc^2/ℏ (Zitterbewegung). The angular momentum of this helix is ℏ/2 (spin- 1/2 ) and the magnetic moment gives g = 2—both following from the Coulomb field without additional assumptions. The linearisation then finds the unique first-order wave equation consistent with this pre-existing helical spin structure. The four-component Dirac spinor encodes four degrees of freedom already determined by the stochastic path: two spin states (helix handedness) and two time directions (particle/antiparticle).
Category: Quantum Physics
[5] ai.viXra.org:2605.0039 [pdf] replaced on 2026-05-22 08:22:15
Authors: Fusao Ishii
Comments: 14 Pages. This is Paper 3 of a six-paper series.
Papers 1 and 2 of this series derived the single-particle and two-particle Schrödinger equations from classical stochastic electrodynamics (SED), resting on the foundational assumption that the coupled electron-vacuum system is ergodic. The present paper converts that assumption into a theorem. We write the SED Hamiltonian explicitly and show that it is isomorphic to the Caldeira—Leggett model of a particle coupled to a harmonic oscillator bath, with spectral density J(ω) ∝ ω^3 (super-Ohmic) and a physical ultraviolet cutoff at the Compton frequency ωc = mc^2/ℏ. With the cutoff, the system is finite-dimensional. We apply the Ford—Kac—Mazur theorem to establish that the velocity autocorrelation function of the electron decays to zero, proving that the system is mixing. Since mixing implies ergodicity, the stationary measure is unique and time averages equal phase-space averages almost everywhere (Birkhoff—von Neumann). As a corollary, the zero-point energy per field mode is rigorously derived as ε(ω) = ℏω/2, completing the foundation of Papers 1 and 2 without additional postulates. The remaining unproved assumptions of the three-paper programme—Nelson’s stochastic mechanics, the fermionic antisymmetry condition, and the identification of the initial cross-correlation with the vacuum two-point function—are identified and discussed.
Category: Quantum Physics
[4] ai.viXra.org:2605.0036 [pdf] replaced on 2026-05-22 08:39:56
Authors: Fusao Ishii
Comments: 22 Pages. This is Paper 2 of a six-paper series.
This paper extends the stochastic electrodynamic framework of Paper 1 [3] to multiparticle systems, providing a physical derivation of quantum entanglement. When a highenergy gamma ray creates an electron-positron pair, both particles emerge from the same spacetime point and share a common virtual photon cloud. We propose that the electromagnetic vacuum retains a cross-correlation component S(12) E (x1, x2, ω) in their joint virtual photon field, arising from the common creation event. The spatial dependence of this cross-correlation—a sinc(ωr12/c) factor—is derived from the known two-point vacuum correlation function of the electromagnetic field, not postulated. This cross-correlation is identified as the physical carrier of quantum entanglement. The two particles undergo correlated Brownian motion in six-dimensional configuration space, each with diffusion coefficient D = ℏ/2m derived in [3]. Nelson’s stochastic mechanics in configuration space gives the two-particle Schrödinger equation. The foundational ergodicity assumption underlying Papers 1 and 2—that the coupled electron-vacuum system admits a unique stationary ergodic measure—is proved in the companion Paper 3 [4] via the Caldeira—Leggett model and the Ford—Kac—Mazur theorem. The EPR paradox is resolved: the instantaneous correlation upon measurement is a consequence of conditional probability applied to a joint stochastic process, not a physical signal. Bell inequality violations are derived explicitly: the cross-correlation is nonlocal in configuration space, bypassing Bell’s locality assumption while satisfying the no-signalling theorem. Decoherence arises naturally as disruption of S(12) E by environmental electromagnetic noise. Fermi and Bose statistics emerge as boundary conditions on the joint stochastic process in configuration space.
Category: Quantum Physics
[3] ai.viXra.org:2605.0035 [pdf] replaced on 2026-05-28 21:06:22
Authors: Fusao Ishii
Comments: 29 Pages. This is Paper 1 of a six-paper series.
Quantum mechanics is defined here as the theoretical framework crystallised at the fifth Solvay Conference of 1927, comprising five postulates: the wavefunction, the canonical commutation relation [x, p] = iℏ, the Born rule, the Schrödinger equation, and the transition probability rule. We present a complete derivation of all five Solvay postulates from purely classical foundations, starting from the directly observable Coulomb field of the electron. The single empirical input is ℏ—measured from pre-Solvay experiments (Planck 1900—1911, Einstein 1905, Casimir 1948/Lamoreaux 1997) without quantum mechanical interpretation, in the same way G was measured by Cavendish (1798) without general relativity. By Einstein’s photoelectric theory (1905) generalized to all electromagnetic fields, the Coulomb field energy is carried in electromagnetic quanta, each carrying both electric and magnetic fields with energy density ϵ0E^2. The Einstein—Hopf detailed balance condition (1910) uniquely determines the spectral shape ρ(ω) ∝ ω^3. Lorentz invariance confirms this form. The Casimir force measurement gives the total ZPF energy per mode B = ℏ; classical E/B equipartition from Maxwell’s equations gives the electric energy per mode ℏω/2, confirmed by Planck (1911). the central original contribution is the physical justification of the Compton frequency cutoff ωc = mc^2/ℏ: an electron cannot emit an electromagnetic quantum with energy exceeding mc^2, because the residual electron would require negative mass, never observed in nature. Through the Abraham—Lorentz equation, charge e and cutoff ωc both cancel, giving D = ℏ/2m. By Itô’s stochastic calculus and Nelson’s theorem, this gives the Schrödinger equation. The transformation ψ = √ρ e^iS/ℏ linearises the nonlinear Fokker—Planck equation, explaining why superposition holds. All five Solvay postulates emerge as consequences of classical physics plus the single measured constant ℏ. No Solvay postulate is assumed anywhere.
Category: Quantum Physics
[2] ai.viXra.org:2605.0019 [pdf] submitted on 2026-05-11 19:27:25
Authors: Hengxin Zhao
Comments: 9 Pages.
On the basis of quantum-mechanical realism and the philosophical view that "determinism and indeterminism are mutually dual and symbiotically coexisting," philosophical and physical perspectives are integrated to propose the "constraint—uncertainty" hypothesis in this paper. Combined with a temporal ontology of "a determined history and an open future," a unified interpretative framework for quantum phenomena is established. First, in conjunction with experimental results on fullerene quantum interference and spin decoherence in diamond NV centers, the core hypothesis is proposed: when a system is subject to a single dominant constraint, its behavior exhibits deterministic characteristics and uncertainty is suppressed; when subject to multiple competing constraints, its behavior becomes indeterministic and determinism is weakened. It is further clarified that the "constraint" in this work refers to a physically real underlying dynamical mechanism. Second, based on this hypothesis and temporal ontology, a self-consistent interpretation is provided for quantum phenomena such as wave-function superposition and quantum entanglement. It is argued that the "constraint—uncertainty" hypothesis offers an ontological basis for the Heisenberg uncertainty principle, thereby correcting the imprecise characterization in mainstream quantum theory that reduces uncertainty to an intrinsic property of particles. This paper further explores the tension between quantum mechanics and general relativity, suggesting that they correspond to different physical regimes governed by distinct constraint structures. A complete constraint-based model should naturally incorporate gravity, potentially offering a new perspective for the unification of the two theories.
Category: Quantum Physics
[1] ai.viXra.org:2605.0015 [pdf] submitted on 2026-05-09 13:51:53
Authors: Brian Scannell
Comments: 10 Pages.
A recent proposal [Hossenfelder] introduces a local, parameter-free mechanism in which gravitational effects dynamically suppress macroscopic quantum superpositions by enforcing a product-state constraint between matter and geometry. In this note I present a Bohmian re-formulation of this proposal. The reformulation replaces the product-state constraint with a clear ontology consisting of particle positionsand gravitational configuration variables guided by a joint wavefunctional.Collapse arises dynamically from gravitationally induced phase instability, rather than from a teleological action-minimisation principle.The resulting framework is deterministic, nonlocal, and ontologically transparent, while preserving the central physical insight that gravity destabilises superpositions of distinct mass distributions, but without requiring teleological dynamics.The Born rule is recovered through standard Bohmian equivariance on the joint matter—geometry configuration space, without introducingan additional stochastic collapse law.
Category: Quantum Physics