GUP vs polymer quantum cosmology: the Taub model

TL;DR

This paper compares the effects of GUP and polymer quantum frameworks on the Taub cosmological model, showing that GUP removes the singularity while polymer effects do not.

Contribution

It introduces a GUP-based quantization of the Taub model and contrasts its singularity resolution with polymer quantum effects.

Findings

GUP quantization results in a singularity-free universe.

Polymer quantum effects do not eliminate the classical singularity.

The study highlights differences between GUP and polymer approaches in quantum cosmology.

Abstract

The fate of the cosmological singularity in the Taub model is discussed within the two frameworks. An internal time variable is ruled out and the only remaining degree of freedom (the anisotropy) of the Universe is quantized according to such schemes. The resulting GUP Taub Universe is singularity-free, differently from the second case, where the classical singularity is not tamed by the polymer-loop quantum effects.