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[9] ai.viXra.org:2607.0049 [pdf] submitted on 2026-07-18 18:19:27
Authors: Aaron Lee Alai
Comments: 16 Pages.
Bell derivations rest on locality, determinism, and measurement independence. Hall [2] pricedthe third assumption exactly for the singlet state: (√2 − 1)/3 ≈ 13.81% of measurementindependence must be surrendered for a local deterministic model to reproduce all singletcorrelations. We extend that program to multipartite stabilizer scenarios and compute theexact minimum measurement dependence required to reproduce the full faithful statistics ofGHZ/Mermin experiments — the optimal-model problem Hall posed and left open in 2011,having priced the tripartite perfect correlators alone at 1/3 [11]: F(3) = F(4) = 1/3, F(5) = F(6)= 2/5, F(7) = F(8) = 4/9, F(9) = F(10) = 8/17, F(11) = F(12) = 16/33, F(13) = 32/65 [LPEXACT, two-machine verified], with hand proofs at n = 3, 4; the reduction theorem showsthe faithfulness constraints are free, so Hall’s correlator-only tripartite threshold is promotedto the faithful value, and everything at n ≥ 4 is new. All eleven points obey the closed law F =R/(2(R+1)), with R = 2^⌊(n−1)/2⌋ the Mermin violation ratio [15]; a proven combinatoriallower bound (Theorem 5) is tight on every computed core and homogeneous family; and auniversal ceiling F ≤ 1/2 [PROVEN] shows the statistics never require totalsuperdeterminism — a faithful model surrendering no more than half exists at every size. Theoptimal hidden-variable densities have a closed physical form: uniform measures on thecontextual ground states of the prepared state’s frustrated stabilizer Hamiltonian — aninheritance principle confirmed out-of-sample on cluster states. The landscape is glassy(energy is spectral, supported on stabilizer characters) and provably beyond any pairwiseinteraction. We then pose the supply question as an open race: every published lawfulmeasurement-dependence program — invariant-set theory, cellular-automaton interpretations,future-input dynamics, all-at-once retrocausality, and the displacement-condensate frameworkof the present authors — is graded against this one answer key, steelmanned in its ownformalism, with several opening calculations executed here on rivals’ behalf. The condensatemechanism’s consolidated derivational debt is paid in-model: under exact U(1) conservationwith no external phase reference, a collective emission leaves a superselected two-branchrecord whose coherence support equals the prepared state’s stabilizer group, forcing theeffective energy’s term content to coincide with the required Hamiltonian’s — winding-ncoherence amplitude 1/2 exactly, partial-winding contamination identically zero, residualexposures quantified against known physics, and one named test (the continuum finite-β vise)that could kill it. Operationally, the floors are counterfeiting thresholds for multipartite deviceindependent certificates. Version 1’s central numerical claim is withdrawn and replaced by aprinciple; the correction is documented in Part 0. Every tagged result is reproducible from thelinked repository in under one minute.
Category: Quantum Physics
[8] ai.viXra.org:2607.0038 [pdf] submitted on 2026-07-12 23:40:59
Authors: Lluis Eriksson
Comments: 13 pages, 1 figure. English. CC BY 4.0.
Soft spectral filtering has a more severe effect at finite filling than in a dilute edge-mode code. We consider two odd Su-Schrieffer-Heeger (SSH) rails, fill every negative-energy orbital, and encode one additional fermion in the zero mode of either rail. The code has fixed total number and supports physical coherence. For a boundary transfer at a site with zero-mode weight w_x, the desired logical Davies line has squared matrix element w_x^2. We prove the exact many-body leakage identity W_leak^filled(x) = (1 + 2w_x - 3w_x^2)/4. At the remote boundary, w_x = Theta(zeta^(2 ell)), so the logical line is Theta(zeta^(4 ell)) while the summed particle-hole leakage tends to 1/4. This differs qualitatively from the dilute identity w_x(1 - w_x) = Theta(zeta^(2 ell)).For a Davies filter whose off-target tail is epsilon_ell = exp[-q ell + o(ell)], the bounded-latency exact-refresh power obeys the exponent law lim_(ell to infinity) -(1/ell) log P_(ell,tau) = min{4m,q}, where m = -log zeta, under explicit uniform-envelope and resource-ledger assumptions. A width-independent tail, a special case with q = 0, produces a nonzero maintenance floor rather than merely halving the membrane exponent. More generally, q = 0 means only that the decay is subexponential. Every nonzero tail also makes the exact rapid-refresh limit logarithmically singular at each fixed width.The floor is not a free-fermion accident. For arbitrary interacting number-conserving rails, we prove an exact static identity expressing leakage as a local occupation product minus the logical matrix element. Uniform finite filling and remote-edge indistinguishability force a positive leakage floor. A new local spectral-window lemma places a fixed fraction of that weight in a width-independent Bohr-frequency window using only a commutator norm. Consequently, any bath tail bounded below on that window yields an interaction-stable Davies leakage floor. Quasi-local spectral flow shows persistence in a neighborhood of a symmetry-preserving gapped SSH phase. Exact diagonalization of the interacting spinless SSH chain shows that repulsive and attractive interactions change the observed edge-localization exponent while the leakage is already driven close to 1/4 at accessible widths.
Category: Quantum Physics
[7] ai.viXra.org:2607.0031 [pdf] submitted on 2026-07-12 22:58:40
Authors: Lluis Eriksson
Comments: 13 Pages. (Note by ai.viXra.org Admin: Please convert math/LaTeX codes into standard math expression; cite listed scientific references)
Lower bounds based on the instantaneous free-energy loss of a target state are often interpreted as lower bounds on the power required to maintain that state. We show that this interpretation depends decisively on the control task. If maintenance only requires exact restoration at periodically sampled endpoints and the intervention period is unrestricted, the infimal average power can vanish even when the target has strictly positive instantaneous entropy production. A full-rank dephasing qubit gives an exact energy-conserving SWAP counterexample. We repair the formulation by separating endpoint restoration, bounded-latency maintenance, and continuous holding.For continuous-time finite Markov chains we adopt the established trajectory-relative-entropy holding cost and review the known reversible optimizer and Dirichlet-form representation. Our first composition result is then an exact geometric additivity theorem for suppressible and persistent generators sharing a detailed-balance reference. A two-state counterexample shows that this hypothesis is essential: channels with incompatible equilibria can cancel at a finite membrane width. A dual-rail pair of odd fermionic SSH chains supplies the microscopic layer: exact edge modes, a uniform bulk gap, and an explicitly filtered number-conserving Davies coupling produce two-sided holding-cost bounds without an assumed rate-inheritance bridge. The logical basis has fixed particle number and parity, so arbitrary logical coherence is physical under fermionic superselection. Finally, under a fully axiomatized resource-cell ledger, fresh target-state cells and energy-conserving SWAPs saturate the fixed-period free-energy bound; the correctly ordered rapid-control limit closes the SSH theorem for coherent logical targets. The fresh-copy construction is related to earlier collision-model stabilization work and is not claimed as a work-only controller. The remaining frontier is autonomous work-only control without preloaded target copies.
Category: Quantum Physics
[6] ai.viXra.org:2607.0029 [pdf] submitted on 2026-07-12 23:00:29
Authors: Lluis Eriksson
Comments: 15 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The tangent cone of quantum state space at a rank-deficient density matrix is known to have a positive exterior block, and recent work identifies all of its directions with Lindbladian velocities. We derive a quantitative stabilization consequence of this geometry. Let rho be a finite-dimensional target with support projector P, set Q = 1 - P, and let an uncontrolled GKLS generator L have outward support-leakage rate a = Tr[Q L(rho)] > 0. Every additive GKLS controller, including a bounded time-dependent controller, has its own nonnegative outward rate at rho and therefore cannot cancel a. Consequently, no finite-rate additive Markovian controller can keep the system exactly at the target. The conclusion persists for arbitrary finite-dimensional autonomous ancillas, provided the adverse system generator remains additive and local to the system.Under induced trace-norm bounds ||L|| <= M and ||K_t|| <= Gamma, we prove the dynamic corridor inequality limsup ||rho_t - rho||_1 >= 2a/(M + Gamma), without assuming convergence to a stationary state. An autonomous Poisson-reset generator supplies a matching inverse-rate upper bound, establishing the order-optimal minimax law Theta(Gamma^{-1}).For a soft-filter dual-rail SSH family, the microscopic leakage coefficient scales as exp[-(2m + q)ell + o(ell)], whereas the ideal logical disturbance scales as exp[-4m ell + O(1)]. We derive the exact controller-growth threshold g_min = max{0, 2m - q}. Thus, below the filter threshold q = 2m, retaining ideal logical accuracy requires an exponentially growing autonomous correction intensity.
Category: Quantum Physics
[5] ai.viXra.org:2607.0028 [pdf] submitted on 2026-07-12 23:01:56
Authors: Lluis Eriksson
Comments: 14 Pages. Reproducibility materials and LaTeX source: https://github.com/lluiseriksson/support-leakage-rapid-maintenance. Paper and documentation licensed under CC BY 4.0 (Note by ai.viXra.org Admin: Please cite listed scientific references)
Exact rapid maintenance behaves singularly at the boundary of quantum state space. Let a finite-dimensional target rho have support projector P, and let an uncontrolled quantum Markov semigroup have outward support-leakage rate a = Tr[(1-P)L(rho)]. We prove that, whenever a > 0, the nonequilibrium free-energy loss has the universal short-time form F(rho) - F(exp(tL)rho) = k_B T a t log(1/t) + O(t). Under an explicit fresh-resource-cell ledger, the optimal period-t exact-refresh power therefore diverges as k_B T a log(1/t). For GKLS generators, a is a positive sum of squared support-crossing jump amplitudes. We prove the complete dichotomy: a > 0 gives logarithmically infinite rapid power, while a = 0 gives finite rapid power even when Hamiltonian rotation produces population outside the fixed initial support at second order. We also define a periodic threshold-reset corridor and prove its sharp k_B T a log(1/r) + O(1) small-corridor law.The general singularity has an unexpected geometric consequence. In a fixed-parity dual-rail SSH code, a boundary transfer has desired logical weight w_x^2, but its exact summed zero-mode-to-bulk weight is w_x(1-w_x). At the remote boundary, these scale respectively as Theta(zeta^(4 ell)) and Theta(zeta^(2 ell)). Thus a soft spectral tail changes the exponential rate of bounded-latency refresh from 4|log zeta| to 2|log zeta| unless the tail itself is suppressed at least as zeta^(2 ell). We prove the general rate formula min{4m, 2m+q}, where m = -log zeta and q is the exponential suppression rate of the spectral tail. Exact rapid maintenance and the wide-membrane limit do not commute: every nonzero tail gives infinite rapid power at fixed width, while fixed-period power still vanishes exponentially with width. The result turns perfect filtering from a technical convenience into the sharp boundary between finite and singular exact maintenance.
Category: Quantum Physics
[4] ai.viXra.org:2607.0027 [pdf] submitted on 2026-07-11 00:59:42
Authors: Kasun Thilina Fernando
Comments: 11 Pages.
The double-slit experiment was first performed by Thomas Young in 1801 and has been studied for more than two centuries. According to the interpretation proposed in this work, these experiments do not demonstrate wave behavior. Instead, they are interpreted as evidence of electromagnetic attraction and repulsion.If this interpretation is correct, then many theories developed from the conventional wave interpretation may require re-examination. Since numerous well-established theories have been supported by extensive mathematical development, reconsidering the underlying interpretation of these experiments presents a significant scientific challenge.I understand that my proposal may not be accepted today, as current scientific thinking is largely based on the established observational framework only. Nevertheless, I believe that future generations may re-examine these experiments with fresh perspectives and open minds and may eventually recognize the value of this alternative interpretation. If this research remains preserved in cyberspace over the long term, it could serve as a foundation for future scientists to investigate these ideas further and evaluate them on the basis of new evidence and discoveries.
Category: Quantum Physics
[3] ai.viXra.org:2607.0022 [pdf] submitted on 2026-07-08 22:56:21
Authors: Fusao Ishii
Comments: 28 Pages. This is Paper 8 of a eight-paper series.
Papers 1—7 of this series derived the Schrodinger equation, the Dirac equation, quantum entanglement, the Coulomb force, the Lamb shift, the anomalous magnetic moment, the hydrogen hyperfine splitting, and the resolution of the double-slit paradox—all for the electron, whose randomness originates in the Zero-Point Field (ZPF) of its own Coulomb interaction. This paper extends the stochastic framework to the photon. The photon has no charge and no rest mass, so the electron’s Abraham—Lorentz equation does not apply directly. We identify the correct photon analogue: the photon’s relativistic (effective) mass meffγ = ℏω0/c^2 replaces the electron rest mass m, and the photon’s own optical cycle τγ0 = 1/ω0 replaces the electron radiation reaction time τ0 = e^2/6πϵ0mc^3. From this photon Abraham—Lorentz equation, equating two independent expressions for the transverse momentum variance gives the photon diffusion coefficient: Dγ = c^2/2ω0 = ℏ/2meffγ, which has exactly the same form as D = ℏ/2m for the electron, with meffγ replacing m. Three major results follow: 1. Maxwell equations are derived from the photon Fokker—Planck equation via the Madelung transformation using the Riemann—Silberstein vector F = √ϵ0E + (i/√μ0)B as the photon wave function. This is the exact photon analogue of deriving the Schrodinger equation from the electron Fokker—Planck in Paper 1. 2. Malus’s law P(pass) = cos(α)^2 is derived from Brownian motion of the polarization angle on the Poincare sphere, without assuming quantum mechanics. 3. Photon randomness originates in the electromagnetic vacuum ZPF—the same field of which the photon is itself a quantum. The coherence volume of a photon equals 2Dγ/ω0 = c^2/ω^2 0 = ¯λ2, consistent with the van Cittert—Zernike theorem. The complete hierarchy of effective descriptions is: Schrodinger (spin- 1/2 , massive) → Dirac (spin- 1/2 , relativistic) → Maxwell (spin-1, massless)—all emerging from stochastic processes driven by the electromagnetic ZPF, differing only in the particle’s mass and spin.
Category: Quantum Physics
[2] ai.viXra.org:2607.0014 [pdf] submitted on 2026-07-08 11:02:30
Authors: Fusao Ishii
Comments: 24 Pages. This is Paper 6 of a six-paper series.
The double-slit experiment has been called "the only mystery" of quantum mechanics. For one hundred years the question "which slit does the electron pass through?" has lacked a physical answer: the Copenhagen interpretation declares the question meaningless until measurement; the many-worlds interpretation posits branching universes; the pilot-wave interpretation introduces an undetected guiding field. We present a complete physical answer within the stochastic electrodynamic (SED) framework established in Papers 1—6 of this series. The answer rests on three propositions, all following from first principles: 1. The electron follows a definite trajectory—one that passes through exactly one slit—described by Nelson’s stochastic differential equation (SDE) with diffusion coefficient D = ℏ/2m. 2. The electron’s zero-point field (ZPF), which fills all space as the electromagnetic quantum field of the Coulomb interaction, carries information about both slits through the osmotic velocity u = D∇ln |ψA + ψB|^2. This non-local ZPF correlation guides the electron toward the interference maxima. 3. "Measurement" is a physical disturbance of the ZPF. It replaces the joint probability density ρ = |ψA + ψB|^2 with the conditioned density ρ → |ψA|^2 (Bayes update), which eliminates the interference term 2 Re[ψ∗A ψB] and destroys the fringes. The result is confirmed by Monte Carlo simulation of both the analytical |ψ|^2 distribution (Approach A) and the Nelson SDE (Approach B). Both reproduce the interference pattern; both show its disappearance when which-slit information is available. "The observer creates reality" is replaced by "physical disturbance of the ZPF updates the probability density." The hundred-year paradox is resolved by a concrete physical mechanism requiring no new postulates beyond those established in Paper 1.
Category: Quantum Physics
[1] ai.viXra.org:2607.0009 [pdf] submitted on 2026-07-05 03:28:46
Authors: Joshua James Farrow
Comments: 11 Pages.
A change of field boundary conditions produces quanta when it mixes positive- and negative-frequency modes, but the boundary motion is usually prescribed externally. We construct a finiteautonomous quantum shutter in which a quantum matter register controls one local bilinear of aone-dimensional bosonic lattice while the complete matter—field Hamiltonian remains fixed and timeindependent. The controller-gated term is C = ηκqℓqr , and at full closure the open and closed fieldHamiltonians obey the exact local identity Hcl − Hop = κqℓqr . An abrupt opening therefore gives acanonical Bogoliubov transformation with nonzero β, so the closed vacuum is squeezed in the openbasis and a closed-basis one-quantum state becomes a one-quantum-added squeezed state. Exactsparse evolution and canonical matrix-product-state evolution show autonomous packet transmissionbetween the static closed and open limits, controller backreaction, matter—field entanglement, andenergy redistribution with total-energy drift below 4 × 10−13 in the canonical benchmark. After fixingoutgoing modes independently from a prescribed smooth-history reference, far local field algebras canbe close at the 10−4—10−6 level while the joint outgoing state remains distinguishable. A collectivecontroller of size M approaches the prescribed classical switch with leading corrections proportionalto 1/M , in agreement with a spin-coherent fluctuation expansion. The controller register also has anexact embedding into ordinary matter qubits through frustration projectors and a unary clock sector.The construction is a regulated scalar/bosonic realization of standard dynamical-Casimir physics; itis not a derivation of electromagnetic U (1) or of an unregulated infinite particle-number tail.
Category: Quantum Physics