The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
Abstract
We analyze the quantum dynamics of the Friedmann-Robertson-Walker Universe in the context of a Generalized Uncertainty Principle. Since the isotropic Universe dynamics resembles that of a one-dimensional particle, we quantize it with the commutation relations associated to an extended formulation of the Heisenberg algebra. The evolution of the system is described in terms of a massless scalar field taken as a relational time. We construct suitable wave packets and analyze their dynamics from a quasi-classical region to the initial singularity. The appearance of a non singular dynamics comes out as far as the behavior of the probability density is investigated. Furthermore, reliable indications arise about the absence of a Big-Bounce, as predicted in recent issues of Loop Quantum Cosmology.
Keywords
Cite
@article{arxiv.gr-qc/0703025,
title = {The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle},
author = {Marco Valerio Battisti and Giovanni Montani},
journal= {arXiv preprint arXiv:gr-qc/0703025},
year = {2008}
}
Comments
4 pages, 2 figures; v2: section added, to appear on PLB