Against Dogma: On Superluminal Propagation in Classical Electromagnetism

TL;DR

This paper challenges the common belief that relativity forbids superluminal propagation by analyzing classical electromagnetic fields in dielectric media, showing they can propagate faster than light without violating relativity.

Contribution

It applies the Geroch-Earman framework to demonstrate superluminal electromagnetic propagation in dielectric media, questioning established dogma.

Findings

Electromagnetic fields can propagate superluminally in certain media.

Superluminal velocities do not necessarily violate relativity.

The Geroch-Earman framework clarifies superluminal propagation conditions.

Abstract

It is deeply entrenched dogma that relativity theory prohibits superluminal propagation. It is also experimentally well-established that under some circumstances, classical electromagnetic fields propagate through a dielectric medium with superluminal group velocities and superluminal phase velocities. But it is usually claimed that these superluminal velocities do not violate the relativistic prohibition. Here I analyze electromagnetic fields in a dielectric medium within a framework for understanding superluminal propagation recently developed by Geroch(1996, 2011) and elaborated by Earman(2014). I will argue that for some parameter values, electromagnetic fields do propagate superluminally in the Geroch-Earman sense.