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
References in corpus (8)
- Photon wave function
- On a Classical, Geometric Origin of Magnetic Moments, Spin-Angular Momentum and the Dirac Gyromagnetic Ratio
- Vortex lines of the electromagnetic field
- Spacetime metric from linear electrodynamics
- Search For Heavy Pointlike Dirac Monopoles
- Improved Experimental Limits on the Production of Magnetic Monopoles
- Physical wavelets and their sources: Real physics in complex spacetime
- Electromagnetic vortex lines riding atop null solutions of the Maxwell equations
Cited by in corpus (8)
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- Spacetime metric from local and linear electrodynamics: a new axiomatic scheme
- Energy-momentum conservation in pre-metric electrodynamics with magnetic charges
- Recent developments in premetric classical electrodynamics
- An assessment of Evans' unified field theory I
- Spin-of-Light Gyroscope and the Spin-Rotation Coupling