Non-singular and Cyclic Universe from the Modified GUP

TL;DR

This paper explores how a modified generalized uncertainty principle (GUP) influences cosmic dynamics, leading to a non-singular, cyclic universe by altering horizon thermodynamics and Friedmann equations.

Contribution

It introduces a new version of GUP that modifies Friedmann equations, preventing singularities and enabling a cyclic universe model.

Findings

Avoidance of Big Bang singularity

Existence of an upper density bound

Emergence of a cyclic universe scenario

Abstract

In this paper, we investigate the effects of a new version of the generalized uncertainty principle (modified GUP) on the dynamics of the Universe. As the modified GUP will modify the relation between the entropy and area of the apparent horizon, it will also deform the Friedmann equations within Jacobson's approach. We explicitly find these deformed Friedmann equations governing the modified GUP-corrected dynamics of such a Universe. It is shown that the modified GUP-deformed Jacobson's approach implies an upper bound for the density of such a Universe. The Big Bang singularity can therefore also be avoided using the modified GUP-corrections to horizons' thermodynamics. In fact, we are able to analyze the pre Big Bang state of the Universe. Furthermore, the equations imply that the expansion of the Universe will come to a halt and then will immediately be followed by a contracting phase. When the equations are extrapolated beyond the maximum rate of contraction, a cyclic Universe scenario emerges.