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Quantum and classical areas of black hole thermodynamics

arXiv:1506.08068 · doi:10.1088/0264-9381/32/16/165006

Abstract

Most calculations of black hole entropy in loop quantum gravity indicate a term proportional to the area eigenvalue A with a correction involving the logarithm of A. This violates the additivity of the entropy. An entropy proportional to A, with a correction term involving the logarithm of the classical area k, which is consistent with the additivity of entropy, is derived in both U(1) and SU(2) formulations.

7 pages; to appear in Classical and Quantum Gravity