SL(2,R)-geometric phase space and (2+2)-dimensions
High Energy Physics - Theory
2013-06-26 v1
Abstract
We propose an alternative geometric mathematical structure for arbitrary phase space. The main guide in our approach is the hidden SL(2,R)-symmetry which acts on the phase space changing coordinates by momenta and vice versa. We show that the SL(2,R)-symmetry is implicit in any symplectic structure. We also prove that in any sensible physical theory based on the SL(2,R)-symmetry the signature of the flat target "spacetime" must be associated with either one-time and one-space or at least two-time and two-space coordinates. We discuss the consequences as well as possible applications of our approach on different physical scenarios.
Cite
@article{arxiv.1306.5840,
title = {SL(2,R)-geometric phase space and (2+2)-dimensions},
author = {R. Flores and J. A. Nieto and J. Tellez and E. A. Leon and E. R. Estrada},
journal= {arXiv preprint arXiv:1306.5840},
year = {2013}
}
Comments
17 pages, no figures