Self-Similarity between 3-dimensional Magnetostatics and 4-dimensional Electrodynamics
Mathematical Physics
2007-05-23 v1 High Energy Physics - Phenomenology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0302047,
title = {Self-Similarity between 3-dimensional Magnetostatics and 4-dimensional Electrodynamics},
author = {Joachim Holk},
journal= {arXiv preprint arXiv:math-ph/0302047},
year = {2007}
}
Comments
12 pages, 0 figures, gzipped tar file