Noncommutative spaces, the quantum of time, and Lorentz symmetry
- 12 March 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 75 (6) , 065008
Abstract
We introduce three space-times that are discrete in time and compatible with the Lorentz symmetry. We show that these spaces are not 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
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