The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
arXiv:gr-qc/0703025 · doi:10.1016/j.physletb.2007.09.012
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.
4 pages, 2 figures; v2: section added, to appear on PLB
References in corpus (7)
- Quantum Nature of the Big Bang
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Minimal Length Uncertainty Relation and gravitational quantum well
- Quantum Mechanics and the Generalized Uncertainty Principle
- Minimum Length Cutoff in Inflation and Uniqueness of the Action
- Exact solution of inflationary model with minimum length
- Evolutionary Quantum Dynamics of a Generic Universe
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