Entropic corrections to Friedmann equations and bouncing universe due to the zero-point length

TL;DR

This paper derives modified Friedmann equations incorporating zero-point length effects using Verlinde's entropic force, revealing a bouncing universe scenario with potential implications for the Hubble tension.

Contribution

It introduces a novel approach to include zero-point length corrections into Friedmann equations via entropic force, linking quantum gravity effects to cosmological dynamics.

Findings

Modified Friedmann equations similar to braneworld models

Existence of a bouncing universe with Planck-scale minimal length

Potential connection to the Hubble tension problem

Abstract

We employ Verlinde's entropic force scenario to extract the modified Friedmann equations by taking into account the zero-point length correction to the gravitational potential. Starting form the modified gravitational potential due to the zero-point length, we first find the logarithmic corrections to the entropy expression and then we derive the modified Friedman equations. Interestingly enough, we observe that the corrected Friedmann equations are similar to the Friedmann equations in braneworld scenario. In addition, from the corrected Friedmann equations, we pointed out a possible connection to the GUP principle which might have implications on the Hubble tension. To this end, we discuss the evolution of the scale factor under the effect of zero-point length. Finally, having in mind that the minimal length is of the Planck order, we obtain the critical density and the bouncing behavior of the universe with a critical density and a minimal scale factor of the order of Planck length.