Deriving an Electric Wave Equation from Weber’s Electrodynamics



Li, Qingsong ORCID: 0000-0001-5957-6774 and Maher, Simon
(2023) Deriving an Electric Wave Equation from Weber’s Electrodynamics. Foundations, 3 (2). pp. 323-334.

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Abstract

<jats:p>Weber’s electrodynamics presents an alternative theory to the widely accepted Maxwell–Lorentz electromagnetism. It is founded on the concept of direct action between particles, and has recently gained some momentum through theoretical and experimental advancements. However, a major criticism remains: the lack of a comprehensive electromagnetic wave equation for free space. Our motivation in this research article is to address this criticism, in some measure, by deriving an electric wave equation from Weber’s electrodynamics based on the axiom of vacuum polarization. Although this assumption has limited experimental evidence and its validity remains a topic of debate among researchers, it has been shown to be useful in the calculation of various quantum mechanical phenomena. Based on this concept, and beginning with Weber’s force, we derive an expression which resembles the familiar electric field wave equation derived from Maxwell’s equations.</jats:p>

Item Type: Article
Divisions: Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User: Symplectic Admin
Date Deposited: 09 Jun 2023 15:26
Last Modified: 17 Mar 2024 16:54
DOI: 10.3390/foundations3020024
Open Access URL: https://doi.org/10.3390/foundations3020024
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3170893