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 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.
Agulló
Iván
I
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia, Universidad de Valencia, Burjassot-46100, Valencia, Spain. Ivan.Agullo@uv.es
Barbero G
J Fernando
JF
Díaz-Polo
Jacobo
J
Fernández-Borja
Enrique
E
Villaseñor
Eduardo J S
EJ