Entropic gravity, minimum temperature, and modified Newtonian dynamics

Details Entropic gravity, minimum temperature, and modified Newtonian dynamics Entropic gravity, minimum temperature, and modified Newtonian dynamics

2011-04-11

arxiv.org/abs/1104.2022v6

Mod. Phys. Lett. A 26, 2783 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, v6: published version

Scientific paper

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.

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