Non-abelian field theory applied to electrodynamics: development of the field equations

摘要

The theoretical and experimental limitations of conventional Maxwellian field theory are discussed in terms of contemporary gauge field theory. An O(3) internal gauge symmetry is used as the basis for novel, non-linear, field equations of electrodynamics. The Maxwell-Heaviside equations can be recovered as particular solutions, together with a novel equation of motion for a fundamental, topological, magnetic field which magnetizes matter in the inverse Faraday effect, and which is derived rigorously from the topological magnetic monopole.