Entropic force and bouncing behaviour in $\kappa$-Minkowski space-time

TL;DR

This paper extends the entropic gravity framework to $$-Minkowski space-time, deriving $$-deformed corrections to gravity, entropy, and cosmological equations, revealing a bounce that avoids the initial singularity.

Contribution

It introduces $$-deformed corrections to gravity and cosmology, including a bounce scenario, within the entropic force paradigm in $$-Minkowski space-time.

Findings

Logarithmic correction to Bekenstein-Hawking entropy due to $$-deformation

Derivation of $$-deformed Friedmann equations

Avoidance of initial singularity via bounce behavior

Abstract

We generalise the entropic force description of gravity into $\kappa$-Minkowski space-time and derive the $\kappa$-deformed corrections to the Newton's gravitational force. Using this we show the appearance of logarithmic correction as the first order $\kappa$-deformed correction term to Bekenstein-Hawking entropy. Further we also derive the $\kappa$-deformed Friedmann equations and study the evolution of scale factor in $\kappa$-deformed space-time. Finally we show that the $\kappa$-deformation parameter avoids the initial singularity in early universe by providing a bounce behaviour for the case of spatially flat and closed universe.