`Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity
arXiv:1006.2623 · doi:10.1103/PhysRevD.82.064013
Abstract
Deformations of minimal surfaces lying in constant time slices in static space-times are studied. An exact and universal formula for a change of the area of a minimal surface under shifts of nearby point-like particles is found. It allows one to introduce a local temperature on the surface and represent variations of its area in a thermodynamical form by assuming that the entropy in the Planck units equals the quarter of the area. These results provide a strong support to a recent hypothesis that gravity has an entropic origin, the minimal surfaces being a sort of holographic screens. The gravitational entropy also acquires a definite physical meaning related to quantum entanglement of fundamental degrees of freedom across the screen.
12 pages, 1 figure
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- An Inhomogeneous Jacobi equation for minimal surfaces and perturbative change of Holographic Entanglement Entropy
- White dwarfs and generalized uncertainty principle
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- Entanglement, Trace Anomaly and Confinement in QCD
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