Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Pseudo-Instantaneous Action-at-a-Distance with Weberian Potentials

Version 1 : Received: 15 February 2024 / Approved: 16 February 2024 / Online: 16 February 2024 (05:32:31 CET)

How to cite: Montes Martos, J.M. Pseudo-Instantaneous Action-at-a-Distance with Weberian Potentials. Preprints 2024, 2024020881. https://doi.org/10.20944/preprints202402.0881.v1 Montes Martos, J.M. Pseudo-Instantaneous Action-at-a-Distance with Weberian Potentials. Preprints 2024, 2024020881. https://doi.org/10.20944/preprints202402.0881.v1

Abstract

In this work, the conceptions of the electrodynamics of action-at-a-distance and of electromagnetic fields are reviewed and confronted, with the aim of clarifying whether it is possible to propose a Weberian theory of action-at-a-distance, which together with a renewed mechanics (both re-specting the existence of a limiting velocity c) could constitute a framework capable of yielding predictions equivalent to those of the conventional Maxwell-Lorentz and SRT framework. In this work, it is shown that, considering basic assumptions about the interaction process, understanding it as an action exchange process, it is possible to derive the expression of the electrodynamic Phipps’ potential energy between two interacting charges. It is also shown that, with the same assumptions and the additional hypothesis that the interaction is supported by a mediating agent (aether or field) which is perturbed by the transmission of action, this perturbation obeys the wave equation (one of the main drawbacks of Weberian electrodynamics). Another aim of the work is to confront the relational electrodynamic formulations (supported by Galilean transformations that assume a universal time) with the Maxwell-Lorentz formulation of electromagnetism (linked to Lorentz transformations that entail local times), in order to elucidate whether the space-time to which the SRT leads us is a mere mathematical artifice or an inescapable reality.

Keywords

Weber’s electrodynamics; electromagnetism; special relativity; fundamental physics

Subject

Physical Sciences, Particle and Field Physics

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