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Black Hole State Counting in Loop Quantum Gravity: A Number-Theoretical Approach

Black Hole State Counting in Loop Quantum Gravity: A Number-Theoretical Approach

We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of …