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.
Publié le : 2005-12-20
Classification:
High Energy Physics - Theory,
General Relativity and Quantum Cosmology,
Mathematical Physics,
Mathematics - Rings and Algebras
@article{0512258,
author = {Gogberashvili, Merab},
title = {Octonionic Electrodynamics},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0512258}
}