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High-Order Corrections to the Entropy and Area of Quantum Black Holes
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The celebrated area-entropy formula for black holes has provided the most important clue in the search for the elusive theory of quantum gravity. We explore the possibility that the (linear) area-entropy relation acquires some smaller corrections. Using the Boltzmann-Einstein formula, we rule out the possibility for a power-law correction, and provide severe constraints on the coefficient of a possible log-area correction. We argue that a non-zero logarithmic correction to the area-entropy relation, would also imply a modification of the area-mass relation for quantum black holes.
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Cited by 1 Pith paper
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Entropy in Loop Quantum Cosmology
For flat loop quantum cosmology with logarithmic entropy corrections, the standard generalized second law fails just after the bounce for most correction values, and a sign-flipped law with negative temperatures is va...
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