Black Hole Entropy as Causal Links

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Latex, 20 pages, 4 postscript figures, to appear in a special issue of {\it Foundations of Physics} in honor of Jacob Bekenste

Scientific paper

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 $\Sigma$. We find that this number is proportional to the horizon's area on $\Sigma $, thus supporting the interpretation of the links as the ``horizon atoms'' that account for its entropy. The cases studied include not only equilibrium black holes but ones far from equilibrium.

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