Black hole as an Information Eraser

Details Black hole as an Information Eraser Black hole as an Information Eraser

2007-09-22

arxiv.org/abs/0709.3573v4

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 4 figures, minor changes

Scientific paper

We discuss the identity of black hole entropy and show that the first law of black hole thermodynamics, in the case of a Schwarzschild black hole, can be derived from Landauer's principle by assuming that the black hole is one of the most efficient information erasers in systems of a given temperature. The term "most efficient" implies that minimal energy is required to erase a given amount of information. We calculate the discrete mass spectra and the entropy of a Schwarzschild black hole assuming that the black hole processes information in unit of bits. The black hole entropy acquires a sub-leading contribution proportional to the logarithm of its mass-squared in addition to the usual mass-squared term without an artificial cutoff. We also argue that the minimum of the black hole mass is $\sqrt{\log 2/(8\pi)}M_P$.

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