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Black-Hole Entropy as Causal Links
Authors:Djamel Dou  Rafael D. Sorkin
Affiliation:(1) Institute of Exact Science and Technology, University Center of Eloued, Eloued, Algeria;(2) Department of Physics, Syracuse University, Syracuse, New York, 13244-1130
Abstract:We model a black hole spacetime as a causal set and count, with a certain definition, the number of causal links crossing the horizon in proximity to a spacelike or null hypersurface Sgr. We find that this number is proportional to the horizon's area on Sgr, thus supporting the interpretation of the links as the ldquohorizon atomsrdquo that account for its entropy. The cases studied include not only equilibrium black holes but ones far from equilibrium.
Keywords:black holes  causal sets  quantum gravity  discrete spacetime  horizon entropy  statistical mechanics
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