Minisuperspace dynamics in a generalized uncertainty principle framework

TL;DR

This paper explores how a Generalized Uncertainty Principle affects the quantum dynamics of cosmological models, showing probabilistic singularity suppression and stationary behavior near the Planck scale without evidence of a Big-Bounce.

Contribution

It provides a detailed analysis of minisuperspace models under a GUP framework, revealing new insights into singularity behavior and wave packet evolution in quantum cosmology.

Findings

Classical singularities are probabilistically suppressed.

FRW wave packets approach the Planckian region stationarily.

No evidence of a Big-Bounce phenomenon in the models.

Abstract

The minisuperspace dynamics of the Friedmann-Robertson-Walker (FRW) and of the Taub Universes in the context of a Generalized Uncertainty Principle is analyzed in detail. In particular, the motion of the wave packets is investigated and, in both the models, the classical singularity appear to be probabilistic suppressed. Moreover, the FRW wave packets approach the Planckian region in a stationary way and no evidences for a Big-Bounce, as predicted in Loop Quantum Cosmology, appear. On the other hand, the Taub wave packets provide the right behavior in predicting an isotropic Universe.