Terminal holographic complexity View Full Text


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Article Info

DATE

2018-06

AUTHORS

J. L. F. Barbón, J. Martín-García

ABSTRACT

We introduce a quasilocal version of holographic complexity adapted to ‘terminal states’ such as spacelike singularities. We use a modification of the action-complexity ansatz, restricted to the past domain of dependence of the terminal set, and study a number of examples whose symmetry permits explicit evaluation, to conclude that this quantity enjoys monotonicity properties after the addition of appropriate counterterms. A notion of ‘complexity density’ can be defined for singularities by a coarse-graining procedure. This definition assigns finite complexity density to black hole singularities but vanishing complexity density to either generic FRW singularities or chaotic BKL singularities. We comment on the similarities and differences with Penrose’s Weyl curvature criterion. More... »

PAGES

132

References to SciGraph publications

  • 2017-01. Complexity of formation in holography in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-06. On some universal features of the holographic quantum complexity of bulk singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-04. AdS crunches, CFT falls and cosmological complementarity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-11. Holographic complexity of cold hyperbolic black holes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-11. On the time dependence of holographic complexity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-08. Ultimate physical limits to computation in NATURE
  • 2018-02. Holographic non-computers in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-01. Holographic complexity and spacetime singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-02. Entanglement entropy in de Sitter space in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-12. Conformal complementarity maps in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-07-23. A covariant holographic entanglement entropy proposal in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-02. Complexity is simple! in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep06(2018)132

    DOI

    http://dx.doi.org/10.1007/jhep06(2018)132

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1105106192


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