This work reframes “spooky action at a distance” as a property of time–space admissibility rather than a dynamical influence, showing that quantum nonlocal correlations arise from a constrained geometry of states and measurements. We treat light‑cone boundaries as Maximal Admissibility Surfaces (MAS) that enforce non‑signaling and forbid smooth outward crossing, while still permitting global correlations up to the Tsirelson bound. Within this structure, the Dual‑Invariant Equation fixes a minimal‑uncertainty, self‑dual gauge (Gaussian/Hermite) so that spreads, inner products, and correlation tests are evaluated consistently; the Construct Law Equation defines the global admissibility ledger (normalization, positivity, non‑signaling, microcausality, quantum realizability); and the Master Structure Equation governs constrained evolution with normal‑cone boundary reactions, pinning correlations at active MAS faces. We give compact derivations of CHSH/Tsirelson constraints and formulate EPR steering and Bell tests as boundary activations in the admissible set. The result is a unified, constraint‑first account of nonlocality: entanglement produces global correlations across spacelike regions without signaling, precisely because admissibility surfaces in spacetime regulate what structure can persist, how it evolves, and where it must become tangential rather than cross causality.
This work reframes “spooky action at a distance” as a property of time–space admissibility rather than a dynamical influence, showing that quantum nonlocal correlations arise from a constrained geometry of states and measurements. We treat light‑cone boundaries as Maximal Admissibility Surfaces (MAS) that enforce non‑signaling and forbid smooth outward crossing, while still permitting global correlations up to the Tsirelson bound. Within this structure, the Dual‑Invariant Equation fixes a minimal‑uncertainty, self‑dual gauge (Gaussian/Hermite) so that spreads, inner products, and correlation tests are evaluated consistently; the Construct Law Equation defines the global admissibility ledger (normalization, positivity, non‑signaling, microcausality, quantum realizability); and the Master Structure Equation governs constrained evolution with normal‑cone boundary reactions, pinning correlations at active MAS faces. We give compact derivations of CHSH/Tsirelson constraints and formulate EPR steering and Bell tests as boundary activations in the admissible set. The result is a unified, constraint‑first account of nonlocality: entanglement produces global correlations across spacelike regions without signaling, precisely because admissibility surfaces in spacetime regulate what structure can persist, how it evolves, and where it must become tangential rather than cross causality.
This is Paper 142 in the Anaxiomatic Mechanics / pq-Spacetime stack. It develops a finite mechanical account of quantum entanglement within pq-spacetime. Entanglement is identified with the persistence of a non-factorable family of admissible future histories. Two measurement regions can therefore appear as separate local systems in emergent spacetime while still remaining projections of one joint finite closure problem. Bell inequality violation follows because the joint outcomes are not generated by two independent local completion families. No-signalling is nevertheless preserved because complete changes to a distant measurement boundary do not alter the local marginal outcome weights. The paper establishes the Entanglement Closure Theorem and distinguishes microscopic non-factorability from observable entanglement after coarse-graining into stable measurement records. It also gives an explicit minimal singlet construction using two opposed history fibers carrying the relevant four-phase weights. The resulting finite ledger is antisymmetric, nonseparable, and exactly balanced at each local wing. Complete changes of basis on the distant side preserve those local marginals. Using the previously derived Hilbert-space and beta-Dirac bridges of pq-spacetime, the paper recovers the familiar spinor overlap law, the quantum singlet correlation, the maximal Bell-CHSH value, monogamy of maximal entanglement, and decoherence through environmental boundary enlargement. The analysis also explains why no preferred measurement ordering is required and why entanglement remains compatible with relativistic causality. The resulting picture is direct. Entangled systems do not exchange superluminal messages, carry classical answer sheets, or require a force acting across space. Their local outcomes arise from one shared finite admissibility structure whose joint correlations are nonlocal while its controllable local statistics remain causal. Entanglement is therefore physically real, nonclassical, and nonlocal in correlation, but not a signalling mechanism.
This work demystifies quantum paradoxes by showing that the phenomena often labeled as “spooky action” arise from unfactorizable classical local processes that lie outside the scope of Bell’s tests, indicating that the universe remains locally real and that physical states exist independently of measurement. It presents a deterministic hidden‑variable framework, relativistically compatible with quantum entanglement, based on Intrinsic Spin Momentum (ISM). In this model, spin is treated as a real internal momentum circulation with definable vector structure, phase, curvature, and acceleration. Phase‑created correlations between intrinsic spin momenta reproduce CHSH‑type values without superluminal signaling or Einstein’s so‑called “spooky action at a distance.” The Bloch sphere emerges as the geometric representation of internal spin structure, and phase alignment on this sphere provides the mechanism for entanglement correlations, demonstrating that classical unfactorizable processes can reproduce Bell‑inequality violations without breaking any known laws of physics. This stands in stark contrast to the widely publicized interpretation of the 2022 Nobel Prize in Physics, which claimed that Bell‑test violations imply that the universe is “not locally real.” The model generalizes naturally to higher‑spin systems, linking intrinsic spin geometry to gravitational curvature. Gravitational waves dynamically modulate intrinsic spin acceleration, offering a physical mechanism for quantum gravity that diverges worldlines through localized curvature rather than as a purely coordinate effect of spacetime geometry. This unified picture replaces “spooky action” with correlated spin geometry embedded in a dynamic relativistic spacetime. Contact: ellis.ammons1@gmail.com Keywords: Intrinsic Spin Momentum, quantum gravity, entanglement, Bloch sphere, CHSH correlations, relativity, hidden variables, gravitational waves, phase geometry, spin structure.
This work presents a dynamical, geometric account of Bell correlations within Dual-Frame Theory (DFT). Building on a prior quotient construction in which all physically meaningful two-particle information resides in a single gauge-invariant relative phase Δθ defined on the compact manifold S¹, the paper introduces propagation-induced dynamics on the relative-state manifold. The ensemble evolution of the relative phase is modeled as diffusion on this compact space, leading to a distance-dependent suppression of correlation strength. The resulting joint correlation function takes the form E(α, β) = c(N) · cos(α − β), where the coherence envelope c(N) encodes relative-phase diffusion accumulated over propagation. The maximal Clauser–Horne–Shimony–Holt (CHSH) value obeys Sₘₐₓ(N) = 2√2 · c(N), recovering Tsirelson’s bound in the coherent limit and predicting a controlled, distance-dependent suppression for finite propagation. Standard quantum mechanics is recovered as a continuum fixed point of the dynamics, corresponding to vanishing intrinsic diffusion parameters. Existing long-baseline Bell tests are used to place stringent upper bounds on any admissible deviation from this limit, implying that any intrinsic relative-phase diffusion must be extremely small at experimentally accessible scales. This paper reframes Bell correlations as an emergent statistical feature of a jointly evolving geometric state, rather than a purely kinematic property of Hilbert space. The work is intended as a theoretical and phenomenological extension of Dual-Frame Theory and provides a quantitative interface between foundational geometry and experimental Bell-test constraints.
This work introduces a theoretical framework for nonlocal hidden-variable models based on “complex jammers”, defined over a structured parameter space extending standard space–time. The framework is designed to explore whether hidden nonlocal mechanisms can modify quantum correlations while remaining consistent with relativistic causality and the no-signalling principle. A central result establishes that exact operational indistinguishability from quantum mechanics forces the effective dynamics to reduce to the identity channel. This implies that any hidden mechanism that is completely invisible at the level of observable statistics must be dynamically trivial. Prior to this regime, we show that admissible dynamics is already strongly constrained: it must preserve all local marginals and can only act on correlations. Beyond equilibrium, the framework predicts a restricted class of deviations from quantum mechanics. In particular, we derive a minimal geometric mechanism leading to anisotropic corrections of the form cos²(θ), arising from axial symmetry defined by the experimental configuration. These deviations induce measurable, orientation-dependent distortions in Bell-type correlations. An explicit two-qubit model is constructed, and angle-dependent CHSH bounds are obtained. The results define a concrete experimental program based on high-precision Bell tests, capable of probing structured deviations from standard quantum predictions. The work does not propose a complete dynamical hidden-variable theory, but rather a set of physically motivated constraints on possible nonlocal extensions of quantum mechanics, together with falsifiable signatures that can be tested with current experimental platforms.
Algebraic quantum field theory (AQFT) enforces relativistic locality at the level of observable algebras while allowing globally entangled states, but it does not explain why physically realized states are typically entangled, how entanglement propagates, or how measurement reduces entanglement without enabling superluminal signaling. We present an AQFT-compatible framework in which physically admissible states are restricted to those induced by coherent-sector dynamics in Modal Triplet Theory (MTT), characterized by bounded geometry, a uniform spectral gap, bounded coherent projectors, and disturbance–damping stability. Within this restricted state class, entanglement is interpreted as a global coherence constraint in configuration space, while microcausality, isotony, and the time-slice property remain exact on spacetime. Measurement is modeled as localized disturbance followed by stabilization into admissible basins, yielding partial disentanglement. Standard Bell/CHSH and temporal Bell (Leggett–Garg) violations are recovered without nonlocal influence, and entanglement spreading via mediated interactions is explained as causal propagation through common ancestors subject to finite-speed bounds. The framework unifies AQFT locality with the MTT analyses of measurement and Bell phenomena without modifying quantum field theory axioms.
We present a reconstruction of quantum correlation structure from six admissibility principles: compositional closure, locality factorization, norm-bounded growth, convex linearity, closure symmetry (self-duality), and local tomography. We show that these conditions force the state space to be a homogeneous self-dual cone, which by the Koecher–Vinberg theorem corresponds to a Euclidean Jordan algebra. Imposing physical composition constraints reduces this structure uniquely to complex matrix algebras. The Tsirelson bound then follows as a corollary of operator norm boundedness. Superquantum correlations (e.g., PR-box correlations) are excluded not by appeal to relativity but by violation of norm-bounded compositional closure. The result reframes quantum theory as the maximal globally admissible correlation theory under bounded composition