Self-Similarity between 3-dimensional Magnetostatics and 4-dimensional Electrodynamics
Abstract
Description
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.
12 pages, 0 figures, gzipped tar file
12 pages, 0 figures, gzipped tar file