Noncommutative spaces, the quantum of time and the Lorentz symmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, to appear in PRD

Scientific paper

10.1103/PhysRevD.75.065008

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.

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