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