Quantum cosmology with a minimal length

TL;DR

This paper explores quantum cosmology incorporating a minimal length scale, showing that both isotropic and Taub models are singularity-free, with the Taub model predicting a quasi-isotropic universe without a Big-Bounce.

Contribution

It introduces a quantum cosmology framework with a minimal length derived from a generalized uncertainty principle, applied to isotropic and Taub models.

Findings

Both models are singularity-free.

No evidence of a Big-Bounce in the isotropic model.

The Taub model predicts a quasi-isotropic universe.

Abstract

Quantum cosmology in the presence of a fundamental minimal length is analyzed in the context of the flat isotropic and the Taub cosmological models. Such minimal scale comes out from a generalized uncertainty principle and the quantization is performed in the minisuperspace representation. Both the quantum Universes are singularity-free and (i) in the isotropic model no evidences for a Big-Bounce appear; (ii) in the Taub one a quasi-isotropic configuration for the Universe is predicted by the model.