Formal equivalence between Maxwell equations and the de Broglie-Bohm theory for two-dimensional optical microcavities

Fuente: arXiv
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Autori principali: Drezet, Aurélien, Nabet, Bernard Michael
Natura: Preprint
Pubblicazione: 2025
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author Drezet, Aurélien
Nabet, Bernard Michael
author_facet Drezet, Aurélien
Nabet, Bernard Michael
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_01671
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Formal equivalence between Maxwell equations and the de Broglie-Bohm theory for two-dimensional optical microcavities
Drezet, Aurélien
Nabet, Bernard Michael
Quantum Physics
Optics
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.
title Formal equivalence between Maxwell equations and the de Broglie-Bohm theory for two-dimensional optical microcavities
topic Quantum Physics
Optics
url https://arxiv.org/abs/2512.01671