English

Noncommutative spaces, the quantum of time and the Lorentz symmetry

High Energy Physics - Theory 2008-11-26 v1

Abstract

We introduce three space-times that are discrete in time and compatible with the Lorentz symmetry. We show that these spaces are no commutative, with commutation relations similar to the relations of the Snyder and Yang spaces. Furthermore, using a reparametrized relativistic particle we obtain a realization of the Snyder type spaces and we construct an action for them.

Keywords

Cite

@article{arxiv.hep-th/0702113,
  title  = {Noncommutative spaces, the quantum of time and the Lorentz symmetry},
  author = {Juan M. Romero and J. D. Vergara and J. A. Santiago},
  journal= {arXiv preprint arXiv:hep-th/0702113},
  year   = {2008}
}

Comments

8 pages, to appear in PRD