Energy equipartition and minimal radius in entropic gravity

Details Energy equipartition and minimal radius in entropic gravity Energy equipartition and minimal radius in entropic gravity

2011-02-15

arxiv.org/abs/1102.2948v2

Phys. Rev. D 84, 104010 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 3 figures, uses RevTeX 4.1. v2: Some references, and note on size of corrections added, some cosmetic changes. Now id

Scientific paper

10.1103/PhysRevD.84.104010

In this article, we investigate the assumption of equipartition of energy in arguments for the entropic nature of gravity. It has already been pointed out by other authors that equipartition is not valid for low temperatures. Here we additionally point out that it is similarly not valid for systems with bounded energy. Many explanations for black hole entropy suggest that the microscopic systems responsible have a finite dimensional state space, and thus finite maximum energy. Assuming this to be the case leads to drastic corrections to Newton's law for high gravitational fields, and, in particular, to a singularity in acceleration at finite radius away from a point mass. This is suggestive of the physics at the Schwarzschild radius. We show, however, that the location of the singularity scales differently.

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