Chirality conservation in vacuum-like medium

A. I. Arbab

Journal of Electromagnetic Waves and Applications, 2025, vol. 39, issue 13, 1619-1628

Abstract: Lipkin demonstrated that the electromagnetic field exhibits several conserved quantities. In this work, we derive chirality conservation equations for a vacuum-like medium exposed to an electromagnetic field. Unlike traditional scalar formulations of chirality conservation, we construct vector and tensor conservation equations, highlighting their relevance to both vacuum-like and superconducting media. Using London's theory of superconductivity, we establish a relationship between magnetic chirality conservation and helicity conservation. Moreover, we derive new London-like equations that describe a medium where electromagnetic waves propagate at the speed of light, akin to a vacuum. The study also examines energy and momentum conservation equations within this new fluid framework. Our findings extend the conservation laws of electromagnetic fields, offering potential applications in advanced material science and electrodynamics.

Date: 2025
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DOI: 10.1080/09205071.2025.2526541

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