Spatial cut-offs, Fermion Statistics, and Verlinde's Conjecture

Abstract

Verlinde conjectured eight years ago that gravitation might be an emergent entropic force. This rather surprising assertion was proved in [Physica A {\bf 505} (2018) 190] within a purely classical statistical context, and in [DOI: 10.13140/RG.2.2.34454.24640] for the case of bosons' statistics. In the present work, we appeal to a quantum scenario involving fermions' statistics. We consider also the classical limit of quantum (statistical) mechanics (QM). We encounter a lower bound to the distance $r$ between the two interacting masses, i.e., an $r$ cut-off. This is a new effect that exhibits some resemblance with the idea of space discretization proposed by recent gravitation theories

arXiv comment10 pages, 2 figures

References in corpus (7)

• On the Origin of Gravity and the Laws of Newton
• Entropic Corrections to Friedmann Equations
• A Covariant Version of Verlinde's Emergent Gravity
• 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
• A note on a covariant version of Verlinde's emergent gravity

Cited by in corpus (3)

• A simple link of information entropy of quantum and classical systems with Newtonian $r^{-2}$ dependence of Verlinde's entropic force
• Entropic force between two horizons of dilaton black holes with a power-Maxwell field
• Phase transition and entropic force in Reissner-Nordström-de Sitter spacetime