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arXiv · 1812.01643

Five-dimensional electromagnetism

D. H. Delphenich
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Abstract

The usual pre-metric Maxwell equations of electromagnetism in Minkowski space are extended to five dimensions, and the equations of linear five-dimensional electromagnetic waves are obtained from them by using the simplest electromagnetic constitutive law. The role of the dispersion law for five-dimensional plane waves in dictating the most appropriate extension of the four-dimensional Minkowski space metric to the five-dimensional one is discussed. The fact that the five-dimensional dispersion law includes both massless waves and massive ones is emphasized, as well as the fact that one can obtain the Klein-Gordon equation or the Proca equation by separating the fifth coordinate.

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D. H. Delphenich. 2018-12-04. Five-dimensional electromagnetism. https://arxiv.org/abs/1812.01643

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