“Thermodynamics” of minimal surfaces and entropic origin of gravity

D. V. Fursaev
Phys. Rev. D 82, 064013 – Published 8 September 2010; Erratum Phys. Rev. D 86, 049903 (2012)

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 pointlike 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.

  • Figure
  • Received 22 June 2010

DOI:https://doi.org/10.1103/PhysRevD.82.064013

© 2010 The American Physical Society

Erratum

Authors & Affiliations

D. V. Fursaev

  • Dubna International University, Universiteskaya street 19, 141 980, Dubna, Moscow Region, Russia and Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia

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Issue

Vol. 82, Iss. 6 — 15 September 2010

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