The Statistical Mechanics of Black Hole Thermodynamics

dc.creatorSorkin, Rafael D.
dc.date1997-05-05
dc.date1997-12-15
dc.date.accessioned2026-07-07T09:03:03Z
dc.date.available2026-07-07T09:03:03Z
dc.descriptionAlthough we have convincing evidence that a black hole bears an entropy proportional to its surface (horizon) area, the ``statistical mechanical'' explanation of this entropy remains unknown. Two basic questions in this connection are: what is the microscopic origin of the entropy, and why does the law of entropy increase continue to hold when the horizon entropy is included? After a review of some of the difficulties in answering these questions, I propose an explanation of the law of entropy increase which comes near to a proof in the context of the ``semi-classical'' approximation, and which also provides a proof in full quantum gravity under the assumption that the latter fulfills certain natural expectations, like the existence of a conserved energy definable at infinity. This explanation seems to require a fundamental spacetime discreteness in order for the entropy to be consistently finite, and I recall briefly some of the ideas for what the discreteness might be. If such ideas are right, then our knowledge of the horizon entropy will allow us to ``count the atoms of spacetime''.
dc.description21 pages, plainTeX, no figures. (Only nontrivial change from original version is rewriting to improve clarity.)
dc.identifierhttps://arxiv.org/abs/gr-qc/9705006
dc.identifierhttp://arxiv.org/abs/gr-qc/9705006
dc.identifierin Black Holes and Relativistic Stars, edited by R.M. Wald (University of Chicago Press, 1998)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148864
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleThe Statistical Mechanics of Black Hole Thermodynamics
dc.typetext

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