Octonionic Electrodynamics
High Energy Physics - Theory
2009-11-11 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Rings and Algebras
Abstract
Dirac's operator and Maxwell's equations in vacuum are derived in the algebra of split octonions. The approximations are given which lead to classical Maxwell-Heaviside equations from full octonionic equations. The non-existence of magnetic monopoles in classical electrodynamics is connected with the using of associativity limit.
Cite
@article{arxiv.hep-th/0512258,
title = {Octonionic Electrodynamics},
author = {Merab Gogberashvili},
journal= {arXiv preprint arXiv:hep-th/0512258},
year = {2009}
}
Comments
The version accepted by J. Phys. A