Vacuum Electrodynamics of Accelerated Systems: Nonlocal Maxwell's Equations

TL;DR

This paper explores the development of Lorentz-invariant nonlocal Maxwell's equations for accelerated systems, highlighting their persistent nonlocal nature even after acceleration stops.

Contribution

It introduces explicit nonlocal Maxwell's equations for linearly accelerated systems and discusses their Lorentz invariance and nonlocal characteristics.

Findings

Nonlocal Maxwell's equations are explicitly formulated for certain accelerated systems.

The nonlocal nature of the equations persists even after acceleration ceases.

The work advances understanding of electrodynamics in non-inertial frames.

Abstract

The nonlocal electrodynamics of accelerated systems is discussed in connection with the development of Lorentz-invariant nonlocal field equations. Nonlocal Maxwell's equations are presented explicitly for certain linearly accelerated systems. In general, the field equations remain nonlocal even after accelerated motion has ceased.