Abstract
We propose a new holographic program of gravity in which we introduce a surface stress tensor. Our proposal differs from Verlinde’s in several aspects. First, we use an open or a closed screen. Second, the temperature is not necessary, but a surface energy density and pressure are introduced. The surface stress tensor is proportional to the extrinsic curvature. Third, the energy we use is Brown-York energy and the equipartition theorem is violated by a non-vanishing surface pressure. We discuss holographic thermodynamics of a gas of weak gravity and find a chemical potential, and then show that Verlinde’s program does not lead to reasonable thermodynamics. The holographic entropy is similar to the Bekenstein entropy bound.
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Gu, W., Li, M. & Miao, R. A new entropic force scenario and holographic thermodynamics. Sci. China Phys. Mech. Astron. 54, 1915 (2011). https://doi.org/10.1007/s11433-011-4507-6
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DOI: https://doi.org/10.1007/s11433-011-4507-6