Acceleration-Induced Nonlocal Electrodynamics in Minkowski Spacetime

TL;DR

This paper explores two models of nonlocal electrodynamics caused by observer acceleration, highlighting their differences and similarities, especially under constant acceleration, and introduces a new model based on charge and flux electrodynamics.

Contribution

It presents a new ansatz for nonlocal electrodynamics and compares it with Mashhoon's existing model, revealing partial agreement only under constant acceleration conditions.

Findings

Models agree for constant acceleration

New ansatz incorporates Levi-Civita connection

Persistent memory effects observed in measurements

Abstract

We discuss two nonlocal models of electrodynamics in which the nonlocality is induced by the acceleration of the observer. Such an observer actually measures an electromagnetic field that exhibits persistent memory effects. We compare Mashhoon's model with a new ansatz developed here in the framework of charge & flux electrodynamics with a constitutive law involving the Levi-Civita connection as seen from the observer's local frame and conclude that they are in partial agreement only for the case of constant acceleration.