On the architecture of spacetime geometry
By Eugenio Bianchi, R. Myers. 2012
266 citations recorded by the source corpus.
We propose entanglement entropy as a probe of the architecture of spacetime in quantum gravity. We argue that the leading contribution to this entropy satisfies an area law for any sufficiently large region in a smooth spacetime, which, in fact, is given by the Bekenstein–Hawking formula. This conjecture is supported by various lines of evidence from perturbative quantum gravity, simplified models of induced gravity, the AdS/CFT correspondence and loop quantum gravity, as well as Jacobsonʼs ‘thermodynamic’ perspective of gravity.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/efae0a960afb49387af3189523a803b50dfe278b
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Citations in the corpus
- Quantum corrections to holographic entanglement entropy (2013, background): “Note also that [6] discussed a proposal of entanglement entropy in gravitational theories which does not require the surfaces to be minimal.”
- Bulk curves from boundary data in holography (2013, background): “Therefore, given the relation between geometry and entanglement discovered in [6] and studied in [7, 8, 9, 10, 11, 12, 13, 14],(2) it would be natural to guess that areas of radial surfaces in AdS space are related to some sort of UV/IR entanglement in the dual field theory [20].”
- Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime (2014, background): “Although it is tempting to call Sgen of the horizon “the black hole entropy”, in fact there are many possible surfaces one could choose on any given spacetime background, and these surfaces may also have a statistical interpretation [11, 12, 13, 14, 15, 16].”
- Local subsystems in gauge theory and gravity (2016, background): “In fact it is conjectured that the scaling of entanglement entropy with area is a universal feature of near-vacuum states in quantum gravity [5].”
- Entanglement entropy and nonabelian gauge symmetry (2014, methodology): “In order to obtain agreement with the BekensteinHawking entropy we must introduce a nonzero G in some way, and it has been argued that the gravitational interaction between quantum vacuum fluctuations will cut off the ultraviolet divergence in the entropy leading to a finite result of order A/G [15,”
- Relative entropy and holography (2013, background): “One approach [57] to understanding this general result is this Rindler term provides short distance part of ρV that encodes the correlators in the vicinity of the boundary of the causal domain defined by the entangling surface and in the UV, these correlators have the same structure as in flat space”
- Entwinement and the emergence of spacetime (2014, unknown): “(2)This quantity was found while trying to make the proposal of [8], that areas of general surfaces in spacetime are directly related to entanglement across them, more precise.”
- Proof of the Quantum Null Energy Condition (2015, background): “A generalized entropy can be ascribed not only to horizon slices, but to any surface that splits a Cauchy surface [28–32].”
- Comments on holographic complexity (2016, background): “, the near-boundary degrees of freedom appear as though they are in the Rindler vacuum with a local temperature that diverges at ∂A — see discussions in [51, 52].”
- Black hole chemistry: thermodynamics with Lambda (2016, background): “Deep connections were discovered between the quantum information concept of entanglement entropy [20] and the ‘architecture of spacetime’ [21]; the linearized Einstein equations were later shown to follow from the first law of entanglement entropy [22].”