Entropic Gravity in Rindler Space

TL;DR

This paper demonstrates that gravity in Rindler space and near horizon regions of black holes and de Sitter space can be understood as an entropic force, deriving key entropy bounds and principles from this perspective.

Contribution

It provides a derivation of the Verlinde entropy formula in Rindler space and extends the entropic gravity concept to various spacetime horizons, linking it to fundamental physical bounds.

Findings

Rindler horizons act as entropic screens

Gravity emerges as an entropic force in Rindler space

Derivation of the Bekenstein entropy bound and the uncertainty principle from entropic considerations

Abstract

We show that Rindler horizons are entropic screens and gravity is an entropic force in Rindler space by deriving the Verlinde entropy formula from the focusing of light due to a mass close to the horizon. Consequently, gravity is also entropic in the near horizon regions of Schwarzschild and de Sitter space-times. In different limits, the entropic nature of gravity in Rindler space leads to the Bekenstein entropy bound and the uncertainty principle.