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arXiv · 0802.4077

Black hole state counting in Loop Quantum Gravity: A number theoretical approach

Ivan Agullo·J. Fernando Barbero G.·Jacobo Diaz-Polo·Enrique Fernandez-Borja·Eduardo J. S. Villaseñor
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Abstract

We give a practical method 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 determine the number of solutions to the projection constraint analytically. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.

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Ivan Agullo, J. Fernando Barbero G., Jacobo Diaz-Polo, Enrique Fernandez-Borja, Eduardo J. S. Villaseñor. 2008-04-30. Black hole state counting in Loop Quantum Gravity: A number theoretical approach. https://doi.org/10.1103/physrevlett.100.211301

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