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 solutions to the projection constraint. 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. © 2008 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review Letters
Agulló, I., Barbero G., J., Díaz-Polo, J., Fernández-Borja, E., & Villaseñor, E. (2008). Black hole state counting in loop quantum gravity: A number-theoretical approach. Physical Review Letters, 100 (21) https://doi.org/10.1103/PhysRevLett.100.211301