Formal equivalence between Maxwell equations and the de Broglie-Bohm theory for two-dimensional optical microcavities
Quantum Physics
2025-12-02 v1 Optics
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 [Nature \textbf{643}, 67-72 (2025)] 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.
Keywords
Cite
@article{arxiv.2512.01671,
title = {Formal equivalence between Maxwell equations and the de Broglie-Bohm theory for two-dimensional optical microcavities},
author = {Aurélien Drezet and Bernard Michael Nabet},
journal= {arXiv preprint arXiv:2512.01671},
year = {2025}
}