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`Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity · Around

2010

`Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity

Fursaev, Dmitri V.

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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.

Built on

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M. Srednicki, Phys. Rev. Lett. 71
1993
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V. Frolov and I. Novikov, Phys. Rev. D48
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