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Loco-genesis and the Bell Constraint: How Derived Locality Reopens the Question of Structure Beneath Quantum Mechanics

Christian R. Macedonia

Published Feb 15, 2026• 0 citations
Publisher

Abstract

The fine-structure constant α is conventionally treated as a measured input to quantum electrodynamics. We present a parameter-free derivation yielding α−1 = 137.035999143, within 1.62σ of the CODATA 2022 value. The derivation identifies three “refractive” corrections to the base channel capacity of 137: radial projection, mnemonic drag, and loco-genesis. The third term, ζ(3)/(137 · 20), represents the projection cost of locality itself, the generation of spatial structure from a higher-dimensional algebraic substrate. We argue that this term has profound implications for the interpretation of Bell’s theorem. Bell’s inequality derivation assumes factorizability of probability distributions over independent spatial regions. If locality is not ontologically prior but is instead a projection artifact, this assumption fails to apply at the substrate level. Crucially, the projection nonetheless preserves relativistic no-signaling structure within the projected spacetime, reproducing all observed causal constraints. The loco-genesis term thus reopens the question that Bell supposedly closed: whether there exists structurebeneath quantum mechanics. Einstein’s objection to quantum completeness is not refuted by Bell, it is answered by a theory that derives locality rather than assuming it.

DOI
10.5281/zenodo.18650199

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The fine-structure constant α is conventionally treated as a measured input to quantum electrodynamics. We present a parameter-free derivation yielding α−1 = 137.035999143, within 1.62σ of the CODATA 2022 value. The derivation identifies three “refractive” corrections to the base channel capacity of 137: radial projection, mnemonic drag, and loco-genesis. The third term, ζ(3)/(137 · 20), represents the projection cost of locality itself, the generation of spatial structure from a higher-dimensional algebraic substrate. We argue that this term has profound implications for the interpretation of Bell’s theorem. Bell’s inequality derivation assumes factorizability of probability distributions over independent spatial regions. If locality is not ontologically prior but is instead a projection artifact, this assumption fails to apply at the substrate level. Crucially, the projection nonetheless preserves relativistic no-signaling structure within the projected spacetime, reproducing all observed causal constraints. The loco-genesis term thus reopens the question that Bell supposedly closed: whether there exists structurebeneath quantum mechanics. Einstein’s objection to quantum completeness is not refuted by Bell, it is answered by a theory that derives locality rather than assuming it.
Bell's theorem is widely interpreted as demonstrating that nature is fundamentally nonlocal, requiring information to propagate faster than light to explain observed quantum correlations. Yet all experimental tests of Bell inequalities strictly obey relativistic no-signaling constraints, creating an apparent paradox: quantum mechanics appears nonlocal while respecting locality. I argue that this tension arises not from Bell's mathematics or experimental results, but from a hidden ontological assumption embedded in it's standard interpretation: counterfactual defniteness. The presumption that measurement outcomes corresponding to unperformed measurements remain physically meaningful after a measurement has occurred elsewhere. I demonstrate that Bell's theorem does not require this assumption and that experimental violations of Bell inequalities do not necessitate faster-than-light inuence. By treating wavefunction collapse as a real physical elimination of unrealized alternatives following gravitationally induced collapse mechanisms rather than as a remote update of distant outcomes, observed correlations emerge naturally as manifestations of pre-existing geometric constraints. In this framework, Niels Bohr's insistence that defnite outcomes do not exist prior to measurement and Albert Einstein's demand for strict locality are simultaneously satisfed. I show this resolution is fully consistent with all existing Bell-type experiments, does not modify Bell's inequalities, and makes testable predictions distinguishing it from standard interpretations. As one physical realization, I briey discuss how Extended Quantum Gravity's Gravitationally Interacting Memory Surfaces (GIMS)provide a natural geometric substrate for entanglement, though the core argument is independent of any specifc quantum gravity model. The result is not a refutation of Bell's theorem but a clarifcation of its implications: quantum correlations do not require nonlocal dynamics only the abandonment of counterfactual persistence., and makes testable predictions distinguishing it from standard interpretations. As one physical realization, I briey discuss how Extended Quantum Gravity's Gravitationally Interacting Memory Surfaces (GIMS) provide a natural geometric substrate for entanglement, though the core argument is independent of any specifc quantum gravity model. The result is not a refutation of Bell's theorem but a clarifcation of its implications: quantum correlations do not require nonlocal dynamics only the abandonment of counterfactual persistence.
Bell's theorem is commonly understood as showing that no theory satisfying the relevant locality and separability assumptions can reproduce all quantum correlations. The result is often interpreted as forcing a choice among nonlocality, rejection of hidden variables, denial of measurement independence, or revision of the ontology of quantum systems. This paper develops a philosophy-facing interpretation of Bell correlations within the Geometric Monism (GM) framework. GM models quantum entities as continuous torsional standing-wave structures embedded in a 5-dimensional geometric manifold governed by a universal Planck Stiffness \(\kT=c^4/G\). The central proposal is that Bell-type correlations are best understood, within GM, not as superluminal influences between independent particles, but as boundary projections of a single non-separable geometric entity. The paper does not dispute Bell's theorem, nor does it propose a controllable signaling mechanism. Instead, it examines which ontological assumption fails if entangled systems are not fundamentally composed of separable particle-like subsystems. In GM, an entangled pair is represented as a globally constrained torsional structure whose localized detection events occur at 4-dimensional measurement boundaries. On this view, Bell factorizability fails because the joint system is not decomposable into two independent local beables connected only by a shared hidden variable. The relevant ontology is one continuous non-separable entity with multiple boundary-accessible nodes. The analysis compares GM with standard interpretations of Bell's theorem, including local hidden-variable theories, Bohmian mechanics, Everettian approaches, and operational no-signaling views. It argues that GM occupies a distinct philosophical position: it accepts Bell's mathematical result, preserves no-signaling, rejects point-particle separability, and interprets quantum correlations as arising from continuous geometric non-separability. The paper is intended as a philosophy of physics proposal, not as a replacement for the quantum formalism or a completed physical derivation of Bell correlations.
Bell’s theorem is a foundational result in quantum theory, demonstrating that no local hidden-variable model satisfying certain assumptions can reproduce quantum correlations. While mathematically correct within its formal framework, the theorem implicitly relies on a specific representational choice: measurement outcomes are modeled as scalar, commutative variables (±1). This assumption, though natural for flat and static configurations, is not mandated by physical necessity. In this work, we examine the consequences of relaxing this representational constraint when measurement outcomes arise as projections of states with nontrivial topology. We show that when physical correlations are naturally organized as elements of an S³-valued structure — such as those associated with spin and rotational degrees of freedom — the induced measurement algebra becomes noncommutative. Under these conditions, the key algebraic factorizations employed in Bell-type derivations no longer apply. We construct an explicit local, realistic model in which observable correlations reproduce the quantum expectation E(a, b) = − cos θ and violate the CHSH bound S ≤ 2, without invoking non-local interactions or superluminal influences. The effective S³×I structure arises not as a fundamental substrate, but as the natural geometric form taken by the actualization of physical processes within an underlying relational framework. Importantly, this structure was not introduced to address quantum entanglement specifically; it emerged independently in the study of cosmological expansion, emergent gravity, and mass generation. Its relevance to Bell-type correlations follows as a consequence of geometry, not as an ad hoc modification. These results suggest that quantum entanglement may reflect topological features of physical realization rather than intrinsic non-locality. Possible experimental implications and connections to geometric and substrate-based approaches to fundamental physics
This paper presents a structural interpretation of quantum measurement within the Scalar Drag Emergence Framework (SDEF), in which physical systems are described in terms of corridor morphology and an ancestry field governing coherence and constraint. In this formulation, measurement is defined as a mapping from an underlying structural configuration to observable outcomes under imposed constraints. Particles are interpreted not as fundamental entities, but as localized realizations of this mapping. Observable probabilities arise from the geometry of projection between structure and constraint, rather than from intrinsic randomness of independent objects. Entanglement is reinterpreted as the non-separability of corridor morphology, and Bell correlations emerge naturally from the non-factorizability of the mapping process. The framework reproduces standard quantum predictions, including the cosine correlation law and maximal Bell violation, as a consequence of symmetry. Quantum mechanics is identified as a symmetry-dominant regime corresponding to spatially uniform ancestry, in which transport remains non-selective and structural selection is inactive. Beyond this regime, the framework predicts structured, anisotropic deviations from ideal behavior in non-equilibrium or high-energy environments. This work does not modify quantum mechanics, but provides a coherent structural basis for understanding measurement, entanglement, and correlation within a unified conceptual model.
We develop a fully deterministic reformulation of the Bell-Aspect experiment within the framework of Unified Quantum Mechanics (UQM). In contrast to the standard probabilistic formalism defined on a high-dimensional configuration space, UQM represents an entangled pair as a single real-valued, positive-frequency analytic excitation of the vacuum plenum propagating strictly in (3 + 1)-dimensional spacetime. Within this ontology, we derive the joint detection amplitudes, the associated probabilities, and the correlation functions E(α,β)=−cos⁡ ⁣[2(α−β)]E(\alpha,\beta) = -\cos\!\bigl[2(\alpha-\beta)\bigr]E(α,β)=−cos[2(α−β)] for polarizationentangled photons and E(θ)=−cos⁡θE(\theta) = -\cos\thetaE(θ)=−cosθ for spin-12\tfrac{1}{2}21​ fermions, using only the geometric structure of analytic-signal projections. Consequently, the probabilistic Born rule is re-derived as the deterministic operation of a classical square-law receiver measuring the instantaneous envelope power of the vacuum excitation. A central result is that the violation of Bell inequalities originates not from the abandonment of locality or realism, but from the rejection of separability. The global analyticity imposed by the Hilbert Transform enforces a structural-rather than dynamical-form of non-locality, rendering the field holomorphically inseparable across space without permitting superluminal influence. This analytic holism provides a realist, Lorentz-compatible mechanism for entanglement correlations directly in physical spacetime. We further examine the implications of this ontology for engineered and biological systems. UQM proposes a deterministic paradigm for quantum computation based on Analog Field Relaxation, in which optimization corresponds to the controlled restoration of analytic coherence rather than stochastic error correction. Biological excitonic transport is interpreted as a natural example of three-dimensional field optimization driven by global geometric constraints. Overall, the UQM completes the Einstein-Podolsky-Rosen program by providing a unified, analytic, and ontologically transparent description of quantum phenomena in ordinary spacetime.
Bell’s theorem rules out a broad class of local hidden-variable explanations, but Bell violation, operational no-signalling, process-level locality, quantum admissibility, completion geometry, and the numerical quantum boundary are distinct statements. Conflating these levels obscures both what Bell establishes and what a proposed reconstruction must still explain. This paper applies a typed-boundary analysis to the Bell/CHSH setting. It does not derive a new Bell inequality, does not derive Tsirelson’s bound from a new physical principle, and does not claim that Bell’s theorem has been solved. Instead, it separates Bell-local factorisation, operational access, remote write-power, history-conditioned process closure, local admissibility-law ownership, parent-level completion, and scale/resource custody into distinct scientific addresses. The analysis is tested against established native results including Fine’s theorem, Tsirelson–Landau–Masanes correlator geometry, Information Causality, the NPA hierarchy, joint-measurability results, uncertainty and steering, relativistic independence, and dimension-witness frameworks. It also distinguishes the target-specific CHSH algebraic-to-quantum residual from quantum-bound slack, finite-address excess, numerical certification gap, and experimental uncertainty. Under the comparator family examined here, the independent Bell-local new-physics delta is null. The non-null contribution is a typed correspondence, custody, and falsification architecture that prevents constraints at different levels from being silently substituted for one another and supplies an explicit reopening rule for prospective tests at genuinely held-out addresses.