Dimensional Bias in Quantum Path Integrals: A Causal Model of Bell Correlations

Bell test experiments - which have culminated in the Nobel-winning work of Clauser, Aspect, and Zeilinger - have definitively closed loopholes for all classical hidden-variable models operating in (3+1)D spacetime. These results compel us to reconsider the dimensional assumptions of causal structure. We propose a hypothesis in which a symbolic or informational bias field, ϕ(x), emerges through higher-dimensional path integrals.This framework introduces a dynamical informational bias field ϕ(x), sourced by entropy gradients via information geometry, and incorporated into a modified Feynman path integral formalism. The field induces a conserved topological charge ϕ(x) that links entangled particles through shared hyper-dimensional structure, restoring classical causality in an expanded manifold. Typically, such hyper-dimensional paths cancel through destructive interference, but under entanglement constraints, the hyperpath amplitude is constructively reinforced—preserving coherence and restoring classical causality in the full configuration space. This is the fundamental hypothesis of this paper.Simulations show that this bias produces testable shifts in Bell-type correlations and ghost imaging patterns, while preserving unitarity and no-signaling. The model offers a falsifiable geometric alternative to hidden-variable theories, unifying entanglement and information through symbolic curvature in extended configuration space.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.29304536.v7
Primary Topic
Legal and Regulatory Analysis
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article
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Dimensional Bias in Quantum Path Integrals: A Causal Model of Bell Correlations

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Dimensional Bias in Quantum Path Integrals: A Causal Model of Bell Correlations

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Abstract

Bell test experiments - which have culminated in the Nobel-winning work of Clauser, Aspect, and Zeilinger - have definitively closed loopholes for all classical hidden-variable models operating in (3+1)D spacetime. These results compel us to reconsider the dimensional assumptions of causal structure. We propose a hypothesis in which a symbolic or informational bias field, ϕ(x), emerges through higher-dimensional path integrals.This framework introduces a dynamical informational bias field ϕ(x), sourced by entropy gradients via information geometry, and incorporated into a modified Feynman path integral formalism. The field induces a conserved topological charge ϕ(x) that links entangled particles through shared hyper-dimensional structure, restoring classical causality in an expanded manifold. Typically, such hyper-dimensional paths cancel through destructive interference, but under entanglement constraints, the hyperpath amplitude is constructively reinforced—preserving coherence and restoring classical causality in the full configuration space. This is the fundamental hypothesis of this paper.Simulations show that this bias produces testable shifts in Bell-type correlations and ghost imaging patterns, while preserving unitarity and no-signaling. The model offers a falsifiable geometric alternative to hidden-variable theories, unifying entanglement and information through symbolic curvature in extended configuration space.

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