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The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle

Marco Valerio Battisti·Giovanni Montani
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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.

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Marco Valerio Battisti, Giovanni Montani. 2007-09-17. The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle. https://doi.org/10.1016/j.physletb.2007.09.012

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