On the Entropy of the Vacuum Outside a Horizon

By Rafael D. Sorkin. 2014

202 citations recorded by the source corpus.

I introduce the concept of *entanglement entropy* (as it's now called) and point out that it follows an *area law* which renders it a suitable source of black hole entropy. I also suggest to conceive the latter as residing on the horizon at approximately one bit per "Planckian plaquette".

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7c3bc7c8309c080ea0b1e5fdf3cf11b2a258901b

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In Statistical and Nonlinear Physics

Citations in the corpus

Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “In passing, let us recall that the short wavelength modes in the vicinity of the entangling surface ΣCFT produce various UV divergent boundary contributions, such as the celebrated area law term [95–97].”
Time Dependence of Hawking Radiation Entropy (2013, background): “I am also not making a sharp boundary between the black hole and the rest of the universe, such as the horizon with a Planck-scale cutoff, which would lead to an entanglement entropy between the black hole inside the boundary and the quantum fields just outside the boundary that would be of the orde”
A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices (2011, background): “It seems probable that the GSL will provide similar insight into the statistical mechanics of spacetime itself [4].”
Geometry of Quantum States: Index (2007, background): “31 This was first seen in 1983 by Sorkin [851]; the concrete calculation performed by him and his co-workers was in the context of a non-interacting quantum field theory [145].”
Entanglement entropy and nonabelian gauge symmetry (2014, background): “In [1, 2, 3] it was shown that the vacuum is a highly entangled state, and it was argued that the resulting entanglement entropy could provide an explanation for the Bekenstein-Hawking entropy as arising from vacuum correlations across the black hole horizon.”
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy (2012, background): “only for slices of black hole horizons [16], but also for general codimension two surfaces(2).”
An algebra of observables for de Sitter space (2022, background): “entropy of the state Ψ reduced to a region of spacetime, one will encounter an ultraviolet divergence, as first observed long ago [27, 28].”