Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Can Hidden Electrodynamic Field Fluctuations Preclude the Derivation of Bell-Type Inequalities?

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?. 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?. Preprints 2022, 2022110120. 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

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