Quantum treatment of Verlinde's entropic force conjecture

TL;DR

This paper explores Verlinde's conjecture that gravity is an emergent entropic force by analyzing it within a quantum framework for bosons and examining the classical limit of quantum mechanics.

Contribution

It extends Verlinde's classical proof of the entropic gravity conjecture into the quantum domain, specifically for bosonic systems, and investigates the classical limit of quantum mechanics.

Findings

Quantum environment analysis of entropic gravity for bosons

Connection between quantum and classical limits of the conjecture

Extension of classical proof into quantum context

Abstract

Verlinde conjectured that gravitation is an emergent entropic force. This surprising conjecture was proved in [Physica A {\bf 505} (2018) 190] within a purely classical context. Here, we appeal to a quantum environment to deal with the conjecture in the case of bosons and consider also the classical limit of quantum mechanics (QM).