Nonsingular universe from generalized thermostatistics

TL;DR

This paper explores how a generalized uncertainty principle leads to a minimal length scale, resulting in a modified thermodynamics that predicts a nonsingular early universe with maximum bounds on energy and entropy densities.

Contribution

It introduces a new approach linking generalized uncertainty principles to cosmological models, deriving a deformed Friedmann equation similar to loop quantum cosmology.

Findings

Maximum bounds on energy and entropy densities near Planck temperature

Emergence of a nonsingular universe model

Modified thermodynamics consistent with quantum gravity scenarios

Abstract

We study the statistical mechanics of the early radiation dominated universe in the context of a generalized uncertainty principle which supports the existence of a minimal length scale. Utilizing the resultant modified thermodynamical quantities, we obtain a deformed Friedmann equation which is very similar to that arises from loop quantum cosmology scenarios. The energy and entropy densities get maximum bounds about Planck temperature and a nonsingular universe then emerges in this setup.