Quantum treatment of Verlinde's entropic force conjecture

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).

References in corpus (6)

• On the Origin of Gravity and the Laws of Newton
• Notes Concerning "On the Origin of Gravity and the Laws of Newton" by E. Verlinde (arXiv:1001.0785)
• Surface gravity and Hawking temperature from entropic force viewpoint
• The surface density of holographic entropy
• On the entropic derivation of the $r^{-2}$ Newtonian gravity force
• Comments on Verlinde's entropic gravity

Cited by in corpus (8)

• Phase transition and entropic force of de Sitter black hole in massive gravity
• A simple link of information entropy of quantum and classical systems with Newtonian $r^{-2}$ dependence of Verlinde's entropic force
• Phase transitions and entropy force of charged de Sitter black holes with cloud of string and quintessence
• Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
• Entropic force between two horizons of dilaton black holes with a power-Maxwell field
• Phase transition and entropy force between two horizons in (n+2)-dimensional de Sitter space
• Phase transition and entropic force in Reissner-Nordström-de Sitter spacetime
• Depletion force between disordered linear macromolecules