Entropic Motion in Loop Quantum Gravity

TL;DR

This paper introduces a novel method within loop quantum gravity that models particles undergoing entropic motion, potentially providing a new perspective on gravity as an emergent entropic force.

Contribution

It presents a new approach in loop quantum gravity that reproduces entropic forces through a particle's random walk influenced by entropy considerations.

Findings

Models particle motion as a random walk leading to entropic behavior.

Shows potential for gravity to emerge as an entropic force in this framework.

Provides a mathematical description linking entropy increase to particle movement.

Abstract

Entropic forces result from an increase of the entropy of a thermodynamical physical system. It has been proposed that gravity is such a phenomenon and many articles have appeared on the literature concerning this problem. Loop quantum gravity has also considered such possibility. We propose a new method in loop quantum gravity which reproduces an entropic force. By considering the interaction between a fixed gravity state space and a particle state in loop quantum gravity, we show that it leads to a mathematical description of a random walk of such particle. The random walk in special situations, can be seen as an entropic motion in such a way that the particle will move towards a location where entropy increases. This may prove that such theory can reproduce gravity as it is expected.