Noncommutative spaces, the quantum of time and the Lorentz symmetry

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.

8 pages, to appear in PRD

References in corpus (2)

• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Yang's Quantized Space-time Algebra and Holographic Hypothesis

Cited by in corpus (5)

• The Area Quantum and Snyder Space
• Deformed phase space in a two dimensional minisuperspace model
• Space-Time Diffeomorphisms in Noncommutative Gauge Theories
• Energy-momentum non-conservation on noncommutative spacetime and the existence of infinite spacetime dimension
• Running anti-de Sitter radius from QCD-like strings