Classical Electrodynamics and Absolute Simultaneity

Abstract

Maxwell's equations and the Lorentz force density are expressed using an alternative simultaneity gauge. As a result, they describe electrodynamics for an observer travelling with a constant velocity through an isotropic medium. If desired, one may regard the isotropic medium as an absolute space. An observer at rest in the medium may be referred to as a preferred observer. The medium appears electrically polarized to the moving observer. Such an observer regards the speed of light as anisotropic by convention while sharing absolute simultaneity relations with the preferred observer.