On spacetime algebra and its relations with negative masses
General Physics
2023-04-26 v1
Abstract
We consider four subsets of the complexified spacetime algebra, namely the real even part, the real odd part, the imaginary even part and the imaginary odd part. This naturally leads to the four connected components of the Lorentz group, supplemented each time by an additional symmetry. We then examine how these four parts impact the Dirac equation and show that four types of matter arise with positive and negative masses as well as positive and negative charges.
Keywords
Cite
@article{arxiv.2211.07359,
title = {On spacetime algebra and its relations with negative masses},
author = {N. Debergh and J. -P. Petit},
journal= {arXiv preprint arXiv:2211.07359},
year = {2023}
}
Comments
21 pages. Reports on Mathematical Physics (2022)