Noncommutative spaces, the quantum of time, and Lorentz symmetry

2007/02/14 by Juan M. Romero, J. David Vergara, J. D. Vergara +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.75.065008

published as Phys.Rev.D75:065008,2007 · 8 pages, to appear in PRD

arxiv created 2007/02/14 · openalex publication_date 2007/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Yang's Quantized Space-time Algebra and Holographic Hypothesis

Cited by

• Space-Time Diffeomorphisms in Noncommutative Gauge Theories
• The area quantum and Snyder space
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization