Quantum dynamics of massive particles in a non-commutative two-sheeted space-time
High Energy Physics - Theory
2009-11-10 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
We study a formal extension of the Dirac equation in the framework of a non-commutative two-sheeted space-time. It is shown that this approach naturally extends the classical Dirac theory by doubling the number of fermionic states, which can then be identified as matter and hidden-matter states. Our model exhibit several interesting features that could have observational consequences. Among them, we predict a small electromagnetic coupling between matter and hidden matter universes which should lead to matter/hidden matter oscillations in presence of intense electromagnetic vector potentials.
Cite
@article{arxiv.hep-th/0409084,
title = {Quantum dynamics of massive particles in a non-commutative two-sheeted space-time},
author = {Fabrice Petit and Michael Sarrazin},
journal= {arXiv preprint arXiv:hep-th/0409084},
year = {2009}
}
Comments
10 pages, no figures. Slightly improved version. Accepted for publication in Physics Letters B