Improved Upper Bound to the Entropy of a Charged System

Abstract

Recently, we derived an improved universal upper bound to the entropy of a charged system $S\le \pi (2Eb-q^2)/\hslash$. There was, however, some uncertainty in the value of the numerical factor which multiplies the $q^2$ term. In this paper we remove this uncertainty; we rederive this upper bound from an application of the generalized second law of thermodynamics to a gedanken experiment in which an entropy-bearing charged system falls into a Schwarzschild black hole. A crucial step in the analysis is the inclusion of the effect of the spacetime curvature on the electrostatic self-interaction of the charged system.

8 pages

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• Entropy Bounds and Black Hole Remnants
• Quantum Limitations on the Storage and Transmission of Information
• Black hole polarization and new entropy bounds
• Firewalls, black-hole thermodynamics, and singular solutions of the Tolman-Oppenheimer-Volkoff equation

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