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[24] ai.viXra.org:2601.0115 [pdf] submitted on 2026-01-28 08:43:53
Authors: Lluis Eriksson
Comments: 15 Pages.
We present a fully reproducible Google Colab pipeline to compute region algebraic entropies and conditional mutual informations (CMI) in a tiny truncated Hilbert space (dim = 8) indexed by discrete fusion-like descriptors (x, mu) on L = 4 cells. To generate nontrivial ground states within the descriptor-labeled subspace, we introduce an effective Hermitian mixing Hamiltonian based on a weighted k-nearest-neighbor (kNN) graph Laplacian over configuration labels. Across a parameter sweep, we identify a strong-mixing regime where the participation ratio approaches dim (consistent with Laplacian-dominated ground states on connected graphs) and algebraic CMI diagnostics become extremely small (down to 1e-6 and below) for the chosen algebraic factorization, while region algebraic entropies remain O(1) and exhibit near-quantized values approximately n log 2. The mixing term is an ansatz used to probe information-theoretic diagnostics and is not claimed to coincide with a Kogut—Susskind plaquette operator. All artifacts (CSV/JSON, figures, and model dumps) are generated in one run and packaged as Overleaf-ready assets.
Category: Quantum Physics
[23] ai.viXra.org:2601.0111 [pdf] submitted on 2026-01-27 17:45:18
Authors: Lluis Eriksson
Comments: 7 Pages.
We study approximate quantum Markov structure in a $mathbb{Z}_2$ lattice gauge ground state using the conditional mutual information (CMI) $I(A:Cmid B(w))$ and the performance of Petz recovery across a family of tripartitions $(A,B(w),C)$ parameterized by a buffer width $w$. We consider a $2times 4$ plaquette lattice with open boundaries and qubits on links, restricted to a gauge-invariant (Gauss-law) physical sector, at coupling $g=1.0$. For each $w$ we compute reduced density matrices, the entropies entering the CMI, and a Petz-recovered state $sigma_{ABC}=(mathrm{id}_Aotimes mathcal{R}^{mathrm{Petz}}_{Bto BC})(ho_{AB})$, reporting fidelity $F(ho_{ABC},sigma_{ABC})$ via the recovery error $E_{mathrm{rec}}(w)=-log F$. The submission includes the plot, a formatted table, raw CSV outputs, and a hash-based manifest to enable independent verification. We also report numerical cross-checks (dense vs. low-rank method agreement and trace stability) to support validity.
Category: Quantum Physics
[22] ai.viXra.org:2601.0099 [pdf] submitted on 2026-01-24 17:02:20
Authors: Lluis Eriksson
Comments: 14 Pages.
We study an information-theoretic notion of locality—approximate quantum Markov behavior—via the conditional mutual information (CMI) I(A:C|B(w)) in a semi-infinite geometry of the 1D transverse-field Ising model (TFIM). Using infinite matrix product states (iMPS) with a two-site unit cell, we compute I(A:C|B(w)) as a function of the collar width w separating two semi-infinite regions A and C. In the gapped regime (h = 1.5), we observe a clean exponential decay of the CMI and a rapid plateau of a local effective-length estimator xi_local(w), yielding an early-decay length xi_rec^(early) comparable to the iMPS transfer-matrix correlation length xi_corr. Near criticality (h = 1.005), xi_local(w) increases throughout the accessible range, consistent with a pre-asymptotic regime when w_max << xi_corr; we therefore report a fixed-window effective length and a window-sensitivity range as a systematic uncertainty. The project provides a fully reproducible Colab-to-Overleaf pipeline, including pinned dependencies, data streams, figure/table generation, and integrity hashes for the final uploaded artifacts.
Category: Quantum Physics
[21] ai.viXra.org:2601.0097 [pdf] submitted on 2026-01-24 01:13:50
Authors: Vel Tomanovic
Comments: 11 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references in a standard manner such as APA style)
We propose a phenomenological, testable objective-collapse framework—the Beable Theory—for electron spin measurements. An electron excitation carries a real internal orientation (a 'beable' field on the spinor bundle S³ → S²) that generates coherent spinor precession, while stochastic collapse localizes a physically instantiated pointer variable encoding measurement records or environmental imprinting. Spin-state definiteness emerges when the spin entangles with distinct pointer configurations, enforcing single-run outcome selection via pointer localization, with ensemble dynamics reducing to pure dephasing in the measurement basis. We derive the reduced spin master equation, identifying the measurement-induced dephasing rate κ_meas with pointer-branch separation and parameterizing an always-on background channel κ_bg. Using published trapped-electron spectroscopy data (Fan et al., Phys. Rev. Lett. 130, 071801 (2023)), we translate the anomaly linewidth budget into an upper bound κ_bg ≲ 5×10^{-2} s^{-1} (order-of-magnitude), with a conservative bound κ_bg ≲ 2×10^{-1} s^{-1} from the full linewidth. The functional scaling in the strong-measurement (quantum Zeno) regime of circuit QED (Slichter et al., New J. Phys. 18, 053031 (2016)) is consistent with the model's dephasing structure. We provide a microscopic derivation of pointer-record noise statistics using continuous-measurement theory, establishing the Born rule via the martingale property of branch weights under diffusive unraveling. The beable modulates the effective measurement axis â_eff(t) in a gauge-invariant way depending only on the Bloch vector ru20d7(t), yielding testable signatures in trajectory-level pointer-record observables (e.g., variance, dwell times). Compatibility with Diósi—Penrose-type gravitational collapse is discussed, identifying κ_bg with a gravity-related rate κ_DP ~ ΔE_G/ħ acting on pointer branches, suppressing macroscopic superpositions while preserving isolated spin coherence. A unified stochastic model and simulation program are outlined for bounding the basis-modulation parameter ε using public data.
Category: Quantum Physics
[20] ai.viXra.org:2601.0080 [pdf] submitted on 2026-01-20 17:15:02
Authors: Kelly Sonderegger
Comments: 36 Pages. Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License (CC BY-NC-ND 4.0)
Quantum Field Theory (QFT) successfully describes the evolution of probability amplitudes but remains formally agnostic about the physical process by which definite events, causal ordering, and classical experience emerge. We propose the Anchored Causality Interpretation (ACI), which identifies measurement as progressive thermalization through quantum Brownian motion in the omnipresent Higgs field bath. ACI elevates Einstein's result that massless particles experience τ=0 to an ontological principle: quantum fields exist atemporally as pure waves until Higgs-mediated interactions progressively anchor specific observables into temporal existence. The anchoring mechanism applies well-established quantum Brownian motion theory (Caldeira-Leggett, Feynman-Vernon, Hu-Paz-Zhang) to the unique Higgs bath, making anchoring calculable rather than conceptual. Energy conservation is automatic via the fluctuation-dissipation theorem. This framework provides a unified explanation for a diverse body of existing experimental results—weak measurements, variable which-path detection, quantum erasers with partial erasure, and detector-mass-dependent decoherence—all of which demonstrate continuous partial quantum-classical transitions scaling with measurement coupling strength. While other interpretations treat these as distinct phenomena requiring separate explanations, ACI recognizes them as manifestations of a single physical process: incomplete thermalization with the Higgs bath. We further derive distinguishing predictions including a 17.4% mass-dependent difference in decoherence times between carbon-12 and carbon-13 in matter-wave interferometry. ACI resolves the quantum measurement problem without modifying QFT dynamics or introducing hidden variables, treating wave-particle duality as an ontological phase transition driven by Higgs-mediated quantum Brownian motion.
Category: Quantum Physics
[19] ai.viXra.org:2601.0066 [pdf] submitted on 2026-01-17 18:30:12
Authors: Lluis Eriksson
Comments: 7 Pages.
We present a typed "contract" framework for a multi-layer program connecting (i) static locality/approximate Markovness, (ii) recoverability bounds, (iii) separation-dependent dissipation-rate envelopes, and (iv) thermodynamic maintenance power. Each interface is typed with explicit quantifiers, tagged as PROVED/IMPORTED/ASSUMED/CONJECTURED, and paired with concrete falsification routes. As a closed lane inside the paper, for a finite-dimensional tripartite family we show that an exponential conditional mutual information decay hypothesis implies exponential recoverability, using an imported Fawzi—Renner—type inequality with conventions fixed explicitly. Two minimal examples anchor interpretation: the exact Markov case (CMI = 0) yielding perfect recovery, and a toy dephasing semigroup illustrating the operational meaning of initial coherence-loss rates and envelope quantities.
Category: Quantum Physics
[18] ai.viXra.org:2601.0065 [pdf] submitted on 2026-01-17 18:43:55
Authors: Lluis Eriksson
Comments: 6 Pages.
Local algebras in relativistic quantum field theory are typically Type III, so reduced density matrices and von Neumann entropies are not available without additional structure. We give an audit-friendly interface for recoverability in Type III AQFT based on a collar geometry and an explicit split datum N (an intermediate Type I factor). For normal states, we define (i) an N-dependent split-regularized conditional mutual information (CMI) and (ii) a recovery error based on squared Bures fidelity. We isolate as explicit assumptions the two key bridges needed for exponential recoverability in the Type III setting: (a) existence of an omega_0-preserving conditional expectation onto N (a Takesaki-type condition) and (b) an FR-type recoverability inequality in the fixed split implementation, with conventions and constants tracked explicitly to prevent drift. We then prove a conditional statement: if the split-regularized CMI decays exponentially in the collar width and the FR-type inequality holds in that split, then the recoverability error decays exponentially with explicit constants. The note is intended as a typed "contract" for importing model-specific inputs while keeping all split dependence and assumptions transparent.
Category: Quantum Physics
[17] ai.viXra.org:2601.0064 [pdf] submitted on 2026-01-17 19:05:55
Authors: Lluis Eriksson
Comments: 6 Pages.
We isolate the dynamical hinge in typed separation—rate—power pipelines within the finite-dimensional Davies (weak-coupling, Markovian) setting. First, we formulate an upper-envelope statement (RIP-U): assuming a factorized bath-correlation bound with separation-dependent amplitude f(ε) and an integrable time profile, the Fourier-transformed Davies rate coefficients inherit an O(f(ε)) envelope. Under explicit regularity conditions preventing trivial degeneracies, and an explicit bridge assumption linking rate envelopes to instantaneous coherence-loss ratios, this yields a worst-case bound κ↑(ε) ≤ C f(ε) for the relative instantaneous loss rate of a Δ-track coherence functional. Second, we isolate a structural obstruction to lower-envelope statements: we prove an exact identity for the ω=0 contribution to the Davies Dirichlet form, showing it equals (γ(0)/2)u2016[S(0),O]u2016²_{2,σ} for observables O, and derive a witness mechanism demonstrating how ω=0 channels can enforce a non-vanishing dissipation contribution for suitable observable families. We emphasize directionality: RIP-U (upper) does not imply a positive lower envelope κ↓(ε) without additional family-qualified assumptions, and we provide falsification routes for each assumption.
Category: Quantum Physics
[16] ai.viXra.org:2601.0051 [pdf] submitted on 2026-01-14 20:03:27
Authors: Lluis Eriksson
Comments: 20 Pages.
We provide reproducible finite-size benchmarks testing whether a Petz-type recoverability proxy correlates with Wilson-loop confinement diagnostics in Z2 lattice gauge theory in 2+1 dimensions. First, we present an exact-diagonalization benchmark on 2x2 and 2x3 plaquette lattices with open boundary conditions and a Gauss-law penalty term, verifying numerically that the gauge constraint is satisfied (min and mean gauge-generator expectation values are ~1). We compute a trace-renormalized, regularized Petz-type recoverability error for separated subsystems and compare it to confinement proxies based on Wilson loops and Creutz ratios, interpreted as an effective string tension; in 2+1 dimensions the natural confinement-length proxy is the inverse effective string tension. We then extend to larger systems using TeNPy DMRG on ladder geometries 2xL and report multi-L trends as well as a bond-dimension stability check. In the ladder tensor-network part we report recoverability as a function of a contiguous buffer size in MPS site ordering (proxy), rather than the BFS collar width used in the ED part. All plots and CSV data can be regenerated using the scripts provided in the appendix.
Category: Quantum Physics
[15] ai.viXra.org:2601.0050 [pdf] submitted on 2026-01-14 20:46:34
Authors: Lluis Eriksson
Comments: 16 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We provide a finite-size benchmark testing whether a CMI-based recoverability proxy correlates with Wilson-loop confinement diagnostics in Z2 lattice gauge theory in 2+1 dimensions. We compute ground states by sparse exact diagonalization on 2x2 and 2x3 open lattices for a standard link-qubit Hamiltonian with a Gauss-law penalty term, biasing the gauge-invariant sector (verified numerically by
Category: Quantum Physics
[14] ai.viXra.org:2601.0049 [pdf] submitted on 2026-01-13 23:34:37
Authors: Natasha Zink
Comments: 8 Pages. (Note by ai.viXra.org Admin: For the last time, author name is required in the article after article title, the abstract should be labled as such, and please cite listed scientific references)
The emergence of Heptagonal Unitary Field Theory (HUFT), as articulated in the foundational documents provided and the research profile of Natasha Zink, represents a radical departure from traditional particle-based ontologies in theoretical physics. By reconceptualizing the universe as an emergent submanifold M^{4} embedded within a seven-dimensional toroidal manifold T^{7}, HUFT attempts to provide a unified geometric framework that accounts for gravity, quantum information preservation, and non-local transport. This report provides an exhaustive verification of the scientific bases of HUFT and the Zero-Time Transport (ZTT) protocol, tracing their mathematical lineage through G_{2} holonomy, spectral signal processing, and high-dimensional lattice theory.
Category: Quantum Physics
[13] ai.viXra.org:2601.0047 [pdf] submitted on 2026-01-13 21:46:46
Authors: Lluis Eriksson
Comments: 14 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We provide a finite-size benchmark testing whether a Petz-type recoverability proxy correlates with Wilson-loop confinement diagnostics in Z2 lattice gauge theory in 2+1 dimensions. We compute ground states by sparse exact diagonalization on 2x2 and 2x3 plaquette lattices with open boundary conditions, using qubits on links and biasing the gauge-invariant sector via a Gauss-law penalty (verified numerically by
Category: Quantum Physics
[12] ai.viXra.org:2601.0046 [pdf] submitted on 2026-01-13 05:25:36
Authors: Lluis Eriksson
Comments: 9 Pages.
We formulate an operational notion of recoverability in algebraic quantum field theory (AQFT) for type III local von Neumann algebras. Fixing a faithful normal KMS reference state and assuming the existence of a state-preserving conditional expectation, we define a Petz-type recovery channel as the Petz dual (Accardi-Cecchini adjoint). To make tripartite tensor-product notation meaningful, we work in a fixed split implementation for each separation parameter r. For a tripartition A-B-C with B a collar separating A from C, we assume (i) exponential decay of split-implemented conditional mutual information and (ii) a CMI-to-recovery inequality for the chosen Petz-type map. Under these explicit bridge assumptions we obtain a conditional exponential recoverability bound of the form E_rec(r) <= g(C * exp(-m * r)), and in particular E_rec(r) <= C' * exp(-m * r) when g is locally linear. We include a finite-dimensional warm-up, prove finite-dimensional consistency of the Petz-dual definition with the standard Petz map, and discuss how nuclearity or modular nuclearity may support a future derivation of the bridge assumptions. The main theorem is therefore a conditional framework statement: it isolates AQFT-correct algebraic ingredients for Petz-type recovery in type III settings and makes the missing bridge assumptions explicit.
Category: Quantum Physics
[11] ai.viXra.org:2601.0044 [pdf] submitted on 2026-01-13 12:46:11
Authors: Lluis Eriksson
Comments: 14 Pages.
We propose a numerical protocol and a set of falsifiable conjectures relating quantum-information recoverability measures to confinement diagnostics in lattice gauge theories. For a tripartition A-B-C on a finite lattice and a collar width w, we define a Petz-type recovery error E_rec_Petz(w) based on fidelity and extract an associated recoverability length scale from threshold and fit-based criteria. Since gauge constraints obstruct naive subsystem factorization, we formulate the protocol in an extended-Hilbert-space (EHS) prescription by default, while also outlining an algebraic (gauge-invariant observable) variant and its subtleties (centers, sector decompositions). We specify a practical regularization for Petz-type reconstruction when rho_B is not full rank and discuss normalization conventions in numerics. We then formulate conjectures that E_rec_Petz(w) decays exponentially in gapped phases and that its decay scale tracks confinement scales set by Wilson loops, such as an effective string tension extracted from area-law fits or Creutz ratios. We do not claim a theorem-level confinement result; the paper is a self-contained protocol and roadmap intended to be tested on small lattices (exact diagonalization or tensor networks) and, where reduced states are accessible, by Monte Carlo plus replica methods. As a control experiment we include TFIM data validating the pipeline and illustrating the growth of the recoverability length near criticality.
Category: Quantum Physics
[10] ai.viXra.org:2601.0043 [pdf] submitted on 2026-01-13 12:50:18
Authors: Lluis Eriksson
Comments: 9 Pages.
We propose an operational route from recoverability data to effective geometry. Given a tripartition A-B(w)-C and a collar width w, we consider a Petz-type recoverability error E_rec_Petz(w) defined via fidelity and extracted from a fixed collaring rule that maps (A, C, w) to a buffer region B separating A from C. We then define distance-like functionals from the minimal buffer needed to suppress E_rec_Petz(w) below a threshold, and from exponential fit scales when such a regime exists. These can be organized into a generally non-metric dissimilarity matrix on coarse regions, symmetrized when needed, and embedded into low-dimensional spaces using multidimensional scaling or diffusion maps. The paper emphasizes precise definitions (collaring rule, symmetrization, censoring below numerical floors) and falsifiable diagnostics (approximate triangle inequalities, robustness to thresholds and regularization). A minimal control experiment in the one-dimensional transverse-field Ising model illustrates the pipeline and the growth of a recoverability length near criticality.
Category: Quantum Physics
[9] ai.viXra.org:2601.0042 [pdf] submitted on 2026-01-11 14:41:55
Authors: Lluis Eriksson
Comments: 8 Pages.
We define an operational notion of effective distance from approximate quantum state recovery. Given a tripartition A-B-C with B a collar of width w separating A from C, we compute a Petz-based reconstruction error EP(w) = -log F(rho_ABC, rho_tilde_ABC(w)), where F is the squared Uhlmann fidelity, and define an emergent distance deff(epsilon) as the minimal collar width w such that the best-achieved error up to w falls below a target threshold epsilon. Using exact diagonalization data for the transverse-field Ising chain at N = 11 and |A| = 2, we find that deff(1e-3) grows strongly with inverse temperature beta in the unperturbed case (hz = 0), from 1.00 at beta = 0.5 to 3.57 at beta = 5.0, while it remains near-minimal in the longitudinally perturbed case (hz = 0.5), staying close to 1.0 across the same temperature range. We also introduce a discrete curvature diagnostic based on second differences of log EP(w) on a pre-floor window and report when this diagnostic is identifiable given the available window and numerical floor. Robustness is assessed by varying epsilon and by a minimal N = 12 spot-check.
Category: Quantum Physics
[8] ai.viXra.org:2601.0040 [pdf] submitted on 2026-01-12 06:23:09
Authors: Lluis Eriksson
Comments: 5 Pages.
We study finite-size scaling of an operational recovery length extracted from Petz-map recovery in the transverse-field Ising chain (TFIM). For a tripartition A-B-C of a 1D chain with a collar B of width w separating A from C, we define a recovery error E_Petz(w) = -log F(rho_ABC, rho_rec(w)), where F is the squared Uhlmann fidelity, and an effective recovery distance d_eff(eps) as the minimal collar width achieving E_best(w) <= eps, where E_best(w) = min_{w'<=w} E_Petz(w'). Using exact diagonalization at h_z = 0 and beta = 12 for N in {9, 10, 11, 12}, we analyze the peak height d_eff_max(eps; N) = max_{h_x} d_eff(eps; N, h_x) in a censoring-free threshold regime. We find power-law growth d_eff_max(eps; N) ~ N^{kappa(eps)} with a threshold-dependent exponent, e.g. kappa(3e-3) about 0.44 and kappa(5e-3) about 0.26 over this size range. The peak location h_x*(N) drifts toward the critical region as N increases; however, the drift exponent extracted from |h_x*(N) - 1| ~ N^{-1/nu_eff} is threshold-dependent in this finite-size, finite-temperature window, and we report it as an effective operational exponent rather than a universal estimate of the TFIM correlation-length exponent.
Category: Quantum Physics
[7] ai.viXra.org:2601.0038 [pdf] submitted on 2026-01-12 01:13:42
Authors: Lluis Eriksson
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We study whether recovery-based operational distances exhibit a distinctive finite-size signature near quantum criticality. For a tripartition A-B-C of a 1D chain with a collar B of width w separating A from C, we compute a Petz-based reconstructed state and the corresponding recovery error E_Petz(w) = -log F(rho_ABC, rho_rec(w)), where F is the squared Uhlmann fidelity. We define an effective recovery distance d_eff(eps) as the minimal collar width needed to achieve error below a target threshold eps, using E_best(w) = min_{w' <= w} E_Petz(w') to stabilize non-monotonicity. Using exact diagonalization of the transverse-field Ising chain at N = 11 with |A| = 2, we sweep the transverse field h_x across the critical region at h_z = 0 and compare to a longitudinally perturbed control at h_z = 0.5. We find pronounced growth and extensive censoring of d_eff(eps) in the critical region at low temperature, while the perturbed control remains comparatively featureless. An extended-collar spot-check partially resolves the censoring and yields d_eff(1e-3) about 7.6-7.7 at beta = 12 near h_x = 0.96 and h_x = 1.00, indicating an operational recovery length scale of order eight lattice sites at this system size.
Category: Quantum Physics
[6] ai.viXra.org:2601.0035 [pdf] submitted on 2026-01-11 08:26:27
Authors: Lluis Eriksson
Comments: 9 Pages.
We present a quantitative clustering—recovery bridge for interacting quantum many-body systems based on conditional mutual information (CMI). For a geometric tripartition A—B—C in which B is a buffer (collar) of width w separating A from C, we show that an exponential geometric Markov bound I(A:C|B) <= K exp(-alpha w) implies exponentially accurate recovery of the state on ABC from its marginal on AB in the metric -log F, where F is the (Uhlmann) fidelity, by combining the Fawzi—Renner inequality with a simple conversion to fidelity error bounds.We then obtain a rigorous interacting setting (in a shielded small-region geometry) at arbitrary temperature by invoking local Markovness results for finite-range lattice Gibbs states. Numerically, we benchmark the mechanism in the transverse-field Ising chain with longitudinal field, comparing an integrable regime (h_z = 0) and a non-integrable regime (h_z = 0.5), and we evaluate the explicit Petz recovery map. We adopt a censored log-plotting and fit protocol that avoids numerical-floor artifacts and report decay-rate estimates only when at least three pre-floor points are available. Finally, motivated by the quantum error-correction interpretation of subregion duality, we state a conditional application to entanglement wedge reconstruction, separating proved information-theoretic content from bulk—boundary interface assumptions.
Category: Quantum Physics
[5] ai.viXra.org:2601.0034 [pdf] submitted on 2026-01-11 09:52:52
Authors: Lluis Eriksson
Comments: 7 Pages.
In algebraic quantum field theory (AQFT), local algebras are typically Type III factors, so density matrices and von Neumann entropies are not available for bounded regions. We present a B-minimal continuum analog of the lattice "collar -> approximate Markov property -> recovery" mechanism by combining: (i) the split property as a mathematical replacement of a buffer (collar), (ii) Araki relative entropy to define a split-regularized conditional mutual information relative to a fixed choice of Type I interpolating data, and (iii) modular/twirled Petz recovery as an explicit candidate recovery channel. Conditional on an FR-type recoverability inequality in this fixed-split setting, we obtain quantitative recovery bounds in a fidelity-based error metric (purified distance). We conclude with a conditional holographic remark in the spirit of the quantum error-correction interpretation of subregion duality.
Category: Quantum Physics
[4] ai.viXra.org:2601.0031 [pdf] submitted on 2026-01-10 16:50:51
Authors: Lluis Eriksson
Comments: 14 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We study when geometric separation in gapped quantum systems yields a genuine reduction in thermodynamic resources required to maintain coherence against uncontrolled open-system dynamics. Our analysis separates three layers. First, in a regularized Gaussian split regime motivated by algebraic QFT, we state an explicit static reconstruction bound: collar suppression of vacuum cross-correlations enables approximate state recovery via the Petz map with fidelity error controlled by a cross-block recovery norm. Second, we show why static recoverability does not automatically imply suppression of dynamical decay rates: fixed-point structure and Bohr-zero (omega=0) channels can generate obstructions invisible to static clustering alone. We formalize this obstruction using an exact omega=0 Dirichlet identity and implement finite-size commutator-witness diagnostics in the transverse-field Ising chain (one-site and two-site Pauli test families), finding no evidence—within the tested sizes—for an omega=0 floor that is independent of system size (with an extended one-site check at N=14 consistent with the observed trend). Third, we give a self-contained finite-dimensional core linking coherence loss to incremental maintenance power under an explicit battery-assisted thermal-operations model (with paired strategies), and we state a typed rate-inheritance hypothesis identifying precisely what additional dynamical input is required to propagate collar suppression into power suppression on an operational target family. We conclude with a Type III blueprint for extending the pipeline to AQFT.
Category: Quantum Physics
[3] ai.viXra.org:2601.0026 [pdf] submitted on 2026-01-09 16:10:41
Authors: Alexander Mats
Comments: 6 Pages. Developed with AI assistance for calculations, formatting, and figures. All results independently verified. Code available upon request.
This work presents a topological framework for quark confinement in which gluons emerge as induced flow fields between vortex rings rather than as fundamental particles. Quarks are modeled as quantized vortex rings with specific (p,q) torus knot winding numbers, and hadrons arise from topologically linked configurations: Hopf fibrations for mesons (linking number Lk=1) and Borromean rings for baryons (triple linking L3=1). The model predicts hadron masses with sub-1% accuracy using zero adjustable parameters, with confinement arising purely from topological linking energy. Key results include: proton mass predicted to 938.27 MeV (measured 938.27 MeV, error <0.001%); pion mass 139.6 MeV (measured 139.6 MeV, error <0.01%); confinement string tension σ≈0.18 GeV2 consistent with lattice QCD. The framework makes four testable predictions: (1) glueballs do not exist as distinct particles; (2) jet fragmentation exhibits vortex-cascade signatures distinct from gluon splitting; (3) confinement potential is purely linear V(r)=σr with no Coulombic term; (4) pentaquark lifetimes determined by topological barriers. This work was developed by an independent researcher Alexander Mats (registered nurse by profession) with AI assistance (Claude by Anthropic, ChatGPT by OpenAI) for mathematical calculations, LaTeX formatting, and figure generation. All results have been independently verified against experimental data from the Particle Data Group (2024).
Category: Quantum Physics
[2] ai.viXra.org:2601.0022 [pdf] submitted on 2026-01-08 22:09:15
Authors: Lluis Eriksson
Comments: 7 Pages.
We study the relation between geometric separation and dynamical decoherence rates in gapped open quantum systems. We formulate the Rate Inheritance Principle (RIP) as an operational hypothesis: an effective coherence-loss rate extracted from local dynamics can inherit the same distance-suppression envelope as static correlations across an interface of width ε. To avoid quantifier pitfalls, we define a trajectory-averaged operational rate proxy from a fixed protocol, based on the decay of a local relative-entropy coherence functional and a trace-distance influence proxy comparing noisy evolution to an isolated unitary baseline. We implement reproducible numerical stress tests in a gapped 1D transverse-field Ising chain with remote noise acting on a contiguous "environment block" at distance ε. Using TeNPy tensor-network simulations and bootstrap uncertainty estimation, we perform model selection between a pure exponential envelope and an exponential-with-floor model. For the influence proxy considered here, we find no statistically identifiable nonzero floor over the explored separations, and the data exhibit non-monotonic structure consistent with coherent propagation effects in finite-time windows. In contrast, an operatorial Davies-type analysis provides a clean failure mechanism: near-zero Bohr-frequency channels can induce distance-independent rate floors despite static clustering. These results motivate RIP as a falsifiable, observable-dependent interface principle and delineate practical conditions under which geometric protection of dynamical decoherence rates should or should not be expected.
Category: Quantum Physics
[1] ai.viXra.org:2601.0020 [pdf] submitted on 2026-01-08 00:26:07
Authors: Lluis Eriksson
Comments: 12 Pages.
We propose an entropic interface between locality, recoverability, and dynamical decay rates across a geometric collar. The central scalar invariant is the conditional mutual information (CMI) Iρ(A : C|B), where B is a buffer separating A and C. In finite dimension (Type I algebras), the Fawzi—Renner theorem implies that small CMI yields a quantitative recovery channel acting on B. We formulate a volume-uniform geometric Markov bound with a boundary prefactor, IρΛ(A : C|B) ≤ σ(∂B) g(w), and summarize recent literature inputs establishing exponential CMI decay in shielded/high-temperature regimes. On the dynamical side, we formulate a Rate Inheritance Principle (RIP) for Davies/KMS-symmetric generators: static Markovness across the collar constrains decay rates on the fast sector F⊥ modulo the fixed-point algebra F = kerL (the ω = 0 floor), with a dynamical input stated as a Poincar´e inequality for a local collar Dirichlet form. The only remaining nontrivial link is isolated as an explicit Dirichlet comparison assumption. We also verify a diagonal (classical) heat-bath comparison and derive a diagonal subsector corollary with an explicit transfer coefficient. Finally, we define a split reduction datum and a split-regularized CMI target quantity for an AQFT lift and include finite-size illustrations/diagnostics.
Category: Quantum Physics