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Deformations of minimal surfaces lying in constant time slices in staticspace-times are studied. An exact and universal formula for a change of thearea 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 representvariations of its area in a thermodynamical form by assuming that the entropyin the Planck units equals the quarter of the area. These results provide astrong support to a recent hypothesis that gravity has an entropic origin, theminimal surfaces being a sort of holographic screens. The gravitational entropyalso acquires a definite physical meaning related to quantum entanglement offundamental degrees of freedom across the screen.

`Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity