On the Axioms of Topological Electromagnetism

Details On the Axioms of Topological Electromagnetism On the Axioms of Topological Electromagnetism

2003-11-26

arxiv.org/abs/hep-th/0311256v2

Annalen Phys. 14 (2005) 347-377

Physics

High Energy Physics

High Energy Physics - Theory

40 pages 1 figure, substantial revision of sections on constitutive laws

Scientific paper

10.1002/andp.200510141

The axioms of topological electromagnetism are refined by the introduction of the de Rham homology of k-vector fields on orientable manifolds and the use of Poincare duality in place of Hodge duality. The central problem of defining the electromagnetic constitutive law is elaborated upon in the linear and nonlinear cases. The manner by which the spacetime metric might follow from the constitutive law is examined in the linear case. The possibility that the intersection form of the spacetime manifold might play a role in defining a topological basis for the constitutive law is explored. The manner by which wave motion might follow from the electromagnetic structure is also discussed.

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