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Updated: Jul 4, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Black hole state counting in loop quantum gravity: a number-theoretical approach
Iván Agulló1, J Fernando Barbero G, Jacobo Díaz-Polo
1Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia, Universidad de Valencia, Burjassot-46100, Valencia, Spain. Ivan.Agullo@uv.es
Abstract:
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.
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