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arXiv · 1006.2623

`Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity

Dmitri V. Fursaev
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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.

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Dmitri V. Fursaev. 2010-06-14. `Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity. https://doi.org/10.1103/physrevd.82.064013

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