6533b822fe1ef96bd127cbbe

RESEARCH PRODUCT

Combinatorics of theSU(2)black hole entropy in loop quantum gravity

Jacobo Díaz-poloIván AgullóIvan AgulloEnrique F. BorjaEduardo J. S. VillaseñorEduardo J. S. Villaseñor

subject

PhysicsNuclear and High Energy PhysicsConfiguration entropyImmirzi parameterTheoryofComputation_GENERALLoop quantum gravityBinary entropy functionGeneral Relativity and Quantum CosmologyTheoretical physicsClassical mechanicsQuantum gravityBlack hole thermodynamicsEntropy (arrow of time)Joint quantum entropy

description

We use the combinatorial and number-theoretical methods developed in previous works by the authors to study black hole entropy in the new proposal put forth by Engle, Noui, and Perez. Specifically, we give the generating functions relevant for the computation of the entropy and use them to derive its asymptotic behavior, including the value of the Immirzi parameter and the coefficient of the logarithmic correction.

yearjournalcountryeditionlanguage
2009-10-07Physical Review D
https://doi.org/10.1103/physrevd.80.084006