Formal Equivalence Between Maxwell Equations and the de Broglie–Bohm Theory for Two-Dimensional Optical Microcavities

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Authors: A. Drezet, Bernard Michael Nabet
Cited by: 2
References: 50

Abstract

We analyze the formal equivalence between the electromagnetic energy conservation law derived from Maxwell’s equations in an optical microcavity and the conservation of a probability fluid associated with the de Broglie–Bohm theory for an effective massive particle describing a photon in this cavity. This work is part of a critical analysis of recent experiments by Sharoglazova et al. carried out with a view to refuting the de Broglie–Bohm theory. Furthermore, the consequences of our analysis for microphotonics go far beyond these experiments. In particular, extensions that take into account photon spin and stochastic aspects associated with radiative or absorption losses are considered. From the point of view of symmetries and probability current, here the effective photon behaves like a spin-1/2 particle.

Fields of Study & Subjects

Strong Light-Matter Interactions Quantum Information and Cryptography Quantum Electrodynamics and Casimir Effect

Publication details

Journal / source
Symmetry
Publisher
MDPI AG
Volume
18
Issue
1
Pages
157–157
Publication date
14 January 2026
Language
EN