Generalised Maxwell's Equations under the Coulomb Gauge

Abstract

We provide a much simpler proof to Hera's Existence Theorem and using excerpts from the arguments provided in the our alternative proof, we demonstrate that one can safely add a term to Maxwell's equations whereby one obtains a much more general set of Maxwell's equation. Using the obtained generalised Maxwell's equations, we show that these equations predict an energy dependent speed of light. In principle, this energy dependent speed of light can be used to explain the obtained time delays in the arrival of gamma-rays of different energies.