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On the horizon entropy of a causal set

par Machet, Ludovico ;Wang, Jinzhao
Référence Classical and quantum gravity, 38, 8, 085004
Publication Publié, 2021-04-01

Article révisé par les pairs

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Résumé :

We discuss how to define a kinematical horizon entropy on a causal set. We extend a recent definition of horizon molecules to a setting with a null hypersurface crossing the horizon. We argue that, as opposed to the spacelike case, this extension fails to yield an entropy local to the hypersurface-horizon intersection in the continuum limit when the causal set approximates a curved spacetime. We then investigate the entropy defined via the spacetime mutual information between two regions of a causal diamond truncated by a causal horizon, and find it does limit to the area of the intersection.