Version 1
: Received: 3 November 2022 / Approved: 7 November 2022 / Online: 7 November 2022 (11:25:03 CET)
How to cite:
G. López, Á. Can Hidden Electrodynamic Field Fluctuations Preclude the Derivation of Bell-Type Inequalities?. Preprints2022, 2022110120. https://doi.org/10.20944/preprints202211.0120.v1
G. López, Á. Can Hidden Electrodynamic Field Fluctuations Preclude the Derivation of Bell-Type Inequalities?. Preprints 2022, 2022110120. https://doi.org/10.20944/preprints202211.0120.v1
G. López, Á. Can Hidden Electrodynamic Field Fluctuations Preclude the Derivation of Bell-Type Inequalities?. Preprints2022, 2022110120. https://doi.org/10.20944/preprints202211.0120.v1
APA Style
G. López, Á. (2022). Can Hidden Electrodynamic Field Fluctuations Preclude the Derivation of Bell-Type Inequalities?. Preprints. https://doi.org/10.20944/preprints202211.0120.v1
Chicago/Turabian Style
G. López, Á. 2022 "Can Hidden Electrodynamic Field Fluctuations Preclude the Derivation of Bell-Type Inequalities?" Preprints. https://doi.org/10.20944/preprints202211.0120.v1
Abstract
We show that loophole-free Bell-type no-go theorems cannot be derived in theories involving local hidden fields. At the time of measurement, a contextuality loophole appears because each particle’s electromagnetic field interacts with the field of its respective apparatus, preventing the expression of the probability density as a function independent of the orientation of the measuring devices. Then, we use the dynamical evolution of the probability distribution to show that the spin-correlation integral can neither be expressed in terms of initial Cauchy data restricted to the particles. A correlation loophole ensues, which prevents the usage of the non-contextual correlation integrals required to demonstrate the CHSH-Bell inequality. We obtain a new inequality not violated by quantum correlation functions of entangled spin pairs, and propose that Maxwell’s electrodynamic field is the missing hidden variable triggering the coupled nonlinear oscillations of the particles, which bring about the synchronicities observed in the Einstein-Podolsky-Rosen-Bohm (EPRB) experiment.
Keywords
Bell inequalities; Hidden variables; Contextuality; Entanglement; Local realism; Quantum nonlocality; Synchronization; Electrodynamics
Subject
Physical Sciences, Quantum Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.