Entropic Gravity and Cosmology in Kaniadakis Statistics

TL;DR

This paper explores how Kaniadakis statistics modifies Newtonian gravity and cosmological models, suggesting an accelerated universe can emerge from these non-extensive statistical considerations within Verlinde's entropic gravity framework.

Contribution

It introduces a novel application of Kaniadakis statistics to gravitational and cosmological equations, extending Verlinde's entropic gravity to non-extensive statistics.

Findings

Kaniadakis statistics alters gravitational potential calculations.

An accelerated universe solution arises from modified Friedmann equations.

Potential implications for understanding dark energy and cosmic acceleration.

Abstract

By using the Kaniadakis statistics, we discuss the modifications of Newtonian gravity and radial velocity profile in the light of Verlinde's formalism for gravitational entropy. After considering the implications of k-statistics on the gravitational potential, it is shown that an accelerated universe may be obtained by considering the Friedmann first equation in this non-extensive statistics.