Holography, Cosmology and the Second Law of Thermodynamics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 12 pages (v2: reference added)

Scientific paper

10.1103/PhysRevLett.82.4967

We propose that in time dependent backgrounds the holographic principle should be replaced by the generalized second law of thermodynamics. For isotropic open and flat universes with a fixed equation of state, the generalized second law agrees with the cosmological holographic principle proposed by Fischler and Susskind. However, in more complicated spacetimes the two proposals disagree. A modified form of the holographic bound that applies to a post-inflationary universe follows from the generalized second law. However, in a spatially closed universe, or inside a black hole event horizon, there is no simple relationship that connects the area of a region to the maximum entropy it can contain.

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