Entropic corrections to Newton's law
arXiv:1003.1998
Abstract
It has been known for some time that there is a deep connection between thermodynamics and gravity, with perhaps the most dramatic implication that the Einstein equations can be viewed as a thermodynamic equation of state. Recently Verlinde has proposed a model for gravity with a simple statistical mechanical interpretation that is applicable in the non-relatvistic regime. After critically analyzing the construction, we present a strong consistency check of the model. Specifically, we consider two well-motivated corrections to the area-entropy relation, the log correction and the volume correction, and follow Verlinde's construction to derive corrections to Newton's law of gravitation. We show that the deviations from Newton's law stemming from the log correction have the same form as the lowest order quantum effects of perturbative quantum gravity, and the deviations stemming from the volume correction have the same form as some modified Newtonian gravity models designed to explain the anomalous galactic rotation curves.
7 pages, 2 color figures
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- Einstein Equations and MOND Theory from Debye Entropic Gravity
- On Noncommutative Effects in Entropic Gravity
- Newtonian gravity as an entropic force: Towards a derivation of G
- The Effects of Minimal Length in Entropic Force Approach
- Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
- An Effective Cosmological Constant From an Entropic Formulation of Gravity
- Trans-Neptunian objects: a laboratory for testing the existence of non-Newtonian component of the gravitational force