Entropic gravity from noncommutative black holes

TL;DR

This paper explores how noncommutative space-time modifies black hole entropy and gravitational dynamics, leading to a better fit with cosmological data than standard models.

Contribution

It generalizes black hole entropy to noncommutative space-time and demonstrates the impact on gravitational strength within an entropic gravity framework.

Findings

Noncommutativity alters gravitational strength.

Modified model fits cosmological data better.

Generalized black hole entropy for NC black holes.

Abstract

In this paper we will investigate the effects of a noncommutative (NC) space-time on the dynamics of the universe. We will generalize the black hole entropy formula for a NC black hole. Then, using the entropic gravity formalism, we will show that the noncommutativity changes the strength of the gravitational field. By applying this result to a homogeneous and isotropic universe containing nonrelativistic matter and a cosmological constant, we will show that the model modified by the noncommutativity of the space-time is a better fit to the obtained data than the standard one.