Derivation of the Maxwell's Equations Based on a Continuum Mechanical Model of Vacuum and a Singularity Model of Electric Charges

TL;DR

This paper derives Maxwell's equations from a continuum mechanics perspective, modeling vacuum as a visco-elastic medium and electric charges as singularities, offering a novel theoretical foundation.

Contribution

It introduces a continuum mechanical model of vacuum and electric charges to derive Maxwell's equations, bridging electromagnetism and continuum mechanics.

Findings

Maxwell's equations derived from continuum mechanics principles.

Vacuum modeled as a visco-elastic continuum.

Electric charges represented as singularities in the model.

Abstract

We speculate that the universe may be filled with a visco-elastic continuum which may be called aether. Thus, the Maxwell's equations in vacuum are derived by methods of continuum mechanics based on a continuum mechanical model of vacuum and a singularity model of electric charges.