A New Entropic Force Scenario and Holographic Thermodynamics
  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, a temperature is not necessary but a
surface energy density and pressure are introduced. The surface stress tensor
is proportional to the extrinsic curvature. The energy we use is Brown-York
energy and the equipartiton 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 show that Verlinde's program does not lead to a
reasonable thermodynamics. The holographic entropy is similar to the Bekenstein
entropy bound.
