Black hole as an Information Eraser

Abstract

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 $\sqrt{\log 2/(8\pi )}{M}_P$.

12 pages, 4 figures, minor changes

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Cited by in corpus (9)

• Black Holes as Effective Geometries
• On the Origin of Entropic Gravity and Inertia
• Quantum mechanics emerges from information theory applied to causal horizons
• Gravity from Quantum Information
• Holographic Dark Energy and Quantum Entanglement
• Cosmological Imprint of the Second Law of Thermodynamics
• Gravity as Quantum Entanglement Force
• Zero Cosmological Constant and Nonzero Dark Energy from Holographic Principle
• Comments on Information Erasure in Black Hole