Electric/magnetic reciprocity in premetric electrodynamics with and without magnetic charge, and the complex electromagnetic field
arXiv:physics/0401083 · doi:10.1016/j.physleta.2004.01.075
Abstract
We extend an axiomatic approach to classical electrodynamics, which we developed recently, to the case of non-vanishing magnetic charge. Then two axioms, namely those of the existence of the Lorentz force (Axiom 2) and of magnetic flux conservation (Axiom 3) have to be generalized. Electric/magnetic reciprocity constitutes a guiding principle for this undertaking. The extension of the axioms can be implemented at a premetric stage, i.e., when metric and connection of spacetime don't play a role. Complex Riemann-Silberstein fields of the form have a natural place in the theory, independent of the Hodge duality mapping defined by any particular metric.
13 pages in latex, 3 references added, text slightly revised