Entropic gravity, minimum temperature, and modified Newtonian dynamics

TL;DR

This paper extends Verlinde's entropic gravity framework by incorporating a minimum temperature, leading to a modified Newtonian dynamics (MOND) form of gravitational acceleration that links local physics with cosmological parameters.

Contribution

It introduces a minimum temperature into entropic gravity, deriving a MOND-like acceleration law and connecting it to the Unruh temperature of de-Sitter space.

Findings

Derived a MOND-like gravitational acceleration from entropic principles.

Linked the MOND acceleration constant to the minimum temperature and cosmological parameters.

Provided a potential explanation for the connection between local dynamics and cosmology.

Abstract

Verlinde's heuristic argument for the interpretation of the standard Newtonian gravitational force as an entropic force is generalized by the introduction of a minimum temperature (or maximum wave length) for the microscopic degrees of freedom on the holographic screen. With the simplest possible setup, the resulting gravitational acceleration felt by a test mass m from a point mass M at a distance R is found to be of the form of the modified Newtonian dynamics (MOND) as suggested by Milgrom. The corresponding MOND-type acceleration constant is proportional to the minimum temperature, which can be interpreted as the Unruh temperature of an emerging de-Sitter space. This provides a possible explanation of the connection between local MOND-type two-body systems and cosmology.