Derivation of the Lehnert field equations from gauge theory in the vacuum: space charge and current

摘要

It is shown that the Lehnert field equations in the vacuum, with concomitant space charge and current, can be derived straightforwardly from standard gauge theory applied in the vacuum, suing the concept of covariant derivative and Feynman's universal influence. The Lehnert and Proca field equations are shown to be inter-related through the well known de Broglie Theorem, in which the photon mass can be interpreted as finite. These ideas go some way towards addressing the inconsistency inherent in Maxwell's famous displacement current, which has no concomitant vacuum space charge.