Self-Similarity between 3-dimensional Magnetostatics and 4-dimensional Electrodynamics

Details Self-Similarity between 3-dimensional Magnetostatics and 4-dimensional Electrodynamics Self-Similarity between 3-dimensional Magnetostatics and 4-dimensional Electrodynamics

2003-02-20

arxiv.org/abs/math-ph/0302047v1

Physics

Mathematical Physics

12 pages, 0 figures, gzipped tar file

Scientific paper

It is shown that Euclidean electrodynamics is the exact 4-dimensional analogue of 3-dimensional magnetostatics. This concept is related to a 4-dimensional generalization of the cross product between two vectors where the only essential modification is made to the tensor rank of the involved arguments. Parallels to the Schlaefli-Coxeter theory of Platonic polytopes are pointed out.

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