Minimal length, maximal momentum and the entropic force law

TL;DR

This paper investigates how quantum gravity-inspired concepts of minimal length and maximal momentum influence Verlinde's entropic force law, potentially modifying gravity's emergent nature.

Contribution

It introduces the effects of minimal length and maximal momentum into the entropic force framework, extending Verlinde's approach with quantum gravity considerations.

Findings

Modified entropic force law incorporating minimal length and maximal momentum

Potential deviations from Newtonian gravity at quantum scales

Insights into quantum gravity effects on emergent gravity theories

Abstract

Different candidates of quantum gravity proposal such as string theory, noncommutative geometry, loop quantum gravity and doubly special relativity, all predict the existence of a minimum observable length and/or a maximal momentum which modify the standard Heisenberg uncertainty principle. In this paper, we study the effects of minimal length and maximal momentum on the entropic force law formulated recently by E. Verlinde.