Hyper-dimensional Biasing in Feynman Path Integrals:A Framework for Entanglement and Non-Locality

This work explores a novel extension to the path integral formulation by incorporating a hidden spatial dimension that enables a new interpretation of quantum entanglement. A toy model is presented to demonstrate how small perturbations in the action space can bias path interference, yielding observable deviations in amplitude.A key contribution of this paper is a 2D simulation of ghost imaging under biased path conditions, offering a visual and computational illustration of the model’s predictions. Importantly, this formulation preserves causality and the speed-of-light constraint, and suggests that the observed instantaneous correlations of entangled particles imply topological connectivity at sub-nanometer—potentially Planck—scales.I believe this manuscript will be of interest to physicists working on the foundations of quantum mechanics, the geometry of entanglement, and hidden-variable theories consistent with relativity.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.29442374.v1
Primary Topic
Orbital Angular Momentum in Optics
Type
article
Field-Weighted Citation Impact
0.00
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Hyper-dimensional Biasing in Feynman Path Integrals:A Framework for Entanglement and Non-Locality

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Orbital Angular Momentum in Optics
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Hyper-dimensional Biasing in Feynman Path Integrals:A Framework for Entanglement and Non-Locality

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Abstract

This work explores a novel extension to the path integral formulation by incorporating a hidden spatial dimension that enables a new interpretation of quantum entanglement. A toy model is presented to demonstrate how small perturbations in the action space can bias path interference, yielding observable deviations in amplitude.A key contribution of this paper is a 2D simulation of ghost imaging under biased path conditions, offering a visual and computational illustration of the model’s predictions. Importantly, this formulation preserves causality and the speed-of-light constraint, and suggests that the observed instantaneous correlations of entangled particles imply topological connectivity at sub-nanometer—potentially Planck—scales.I believe this manuscript will be of interest to physicists working on the foundations of quantum mechanics, the geometry of entanglement, and hidden-variable theories consistent with relativity.

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Orbital Angular Momentum in Optics
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