The Lorentz Condition is Equivalent to Maxwell Equations

TL;DR

This paper demonstrates that the Lorentz condition combined with Lorentz transformations is mathematically equivalent to Maxwell's equations, providing a new perspective on electromagnetic theory.

Contribution

It establishes the equivalence between the Lorentz condition with Lorentz transformations and Maxwell's equations, offering a novel theoretical insight.

Findings

Lorentz condition and Lorentz transformations are equivalent to Maxwell's equations

Provides a new theoretical perspective on electromagnetic laws

Bridges conservation laws with fundamental electromagnetic equations

Abstract

It is shown that the Lorentz condition which is a conservation law on the electromagnetic four-vector-density A, plus the Lorentz transformation, taken together, are equivalent to the microscopic Maxwell's equations.