Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
High Energy Physics - Theory
2014-11-18 v3 General Relativity and Quantum Cosmology
Abstract
We show that the Euclidean Snyder non-commutative space implies infinitely many different physical predictions. The distinct frameworks are specified by generalized uncertainty relations underlying deformed Heisenberg algebras. Considering the one-dimensional case in the minisuperspace arena, the bouncing Universe dynamics of loop quantum cosmology can be recovered.
Keywords
Cite
@article{arxiv.0812.3755,
title = {Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry},
author = {Marco Valerio Battisti and Stjepan Meljanac},
journal= {arXiv preprint arXiv:0812.3755},
year = {2014}
}
Comments
5 pages; title changed, to appear in PRD