Black hole microstate cosmology

Cooper, Sean; Rozali, Moshe; Swingle, Brian; Van Raamsdonk, Mark; Waddell, Christopher; Wakeham, David

doi:10.1007/jhep07(2019)065

Title: Black hole microstate cosmology

Abstract

In this note, we explore the possibility that certain high-energy holographic CFT states correspond to black hole microstates with a geometrical behind-the-horizon region, modelled by a portion of a second asymptotic region terminating at an end-of-the-world (ETW) brane. We study the time-dependent physics of this behind-the-horizon region, whose ETW boundary geometry takes the form of a closed FRW spacetime. We show that in many cases, this behind-the-horizon physics can be probed directly by looking at the time dependence of entanglement entropy for sufficiently large spatial CFT subsystems. We study in particular states defined via Euclidean evolution from conformal boundary states and give specific predictions for the behavior of the entanglement entropy in this case. We perform analogous calculations for the SYK model and find qualitative agreement with our expectations. We also calculate holographic complexity for the d = 2 ETW geometries, finding that complexity-action and complexity-volume proposals give the same linear growth at late times, but differ at early times. A fascinating possibility is that for certain states, we might have gravity localized to the ETW brane as in the Randall-Sundrum II scenario for cosmology. In this case, the effective description of physics beyond the horizon could be a bigmore »« less

Authors:

Cooper, Sean ^[1]; Rozali, Moshe ^[1]; Swingle, Brian ^[2]; Van Raamsdonk, Mark ^[1]; Waddell, Christopher ^[1]; Wakeham, David ^[1]

Univ. of British Columbia, Vancouver, BC (Canada)
Univ. of Maryland, College Park, MD (United States)

Publication Date:: 2019-07-13

Research Org.:: Univ. of California, Oakland, CA (United States)

Sponsoring Org.:: Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP); Natural Sciences and Engineering Research Council of Canada (NSERC)

OSTI Identifier:: 1613202

Grant/Contract Number:: SC0019380

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; Physics; AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Theory; Holography and condensed matter physics (AdS/CMT)

Citation Formats


                    Cooper, Sean, Rozali, Moshe, Swingle, Brian, Van Raamsdonk, Mark, Waddell, Christopher, and Wakeham, David. Black hole microstate cosmology.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep07(2019)065.

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                    Cooper, Sean, Rozali, Moshe, Swingle, Brian, Van Raamsdonk, Mark, Waddell, Christopher, & Wakeham, David. Black hole microstate cosmology.  United States.  https://doi.org/10.1007/jhep07(2019)065

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                    Cooper, Sean, Rozali, Moshe, Swingle, Brian, Van Raamsdonk, Mark, Waddell, Christopher, and Wakeham, David. Sat .  
"Black hole microstate cosmology".  United States.  https://doi.org/10.1007/jhep07(2019)065.  https://www.osti.gov/servlets/purl/1613202.

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@article{osti_1613202,

  title        = {Black hole microstate cosmology},

  author       = {Cooper, Sean and Rozali, Moshe and Swingle, Brian and Van Raamsdonk, Mark and Waddell, Christopher and Wakeham, David},

  abstractNote = {In this note, we explore the possibility that certain high-energy holographic CFT states correspond to black hole microstates with a geometrical behind-the-horizon region, modelled by a portion of a second asymptotic region terminating at an end-of-the-world (ETW) brane. We study the time-dependent physics of this behind-the-horizon region, whose ETW boundary geometry takes the form of a closed FRW spacetime. We show that in many cases, this behind-the-horizon physics can be probed directly by looking at the time dependence of entanglement entropy for sufficiently large spatial CFT subsystems. We study in particular states defined via Euclidean evolution from conformal boundary states and give specific predictions for the behavior of the entanglement entropy in this case. We perform analogous calculations for the SYK model and find qualitative agreement with our expectations. We also calculate holographic complexity for the d = 2 ETW geometries, finding that complexity-action and complexity-volume proposals give the same linear growth at late times, but differ at early times. A fascinating possibility is that for certain states, we might have gravity localized to the ETW brane as in the Randall-Sundrum II scenario for cosmology. In this case, the effective description of physics beyond the horizon could be a big bang/big crunch cosmology of the same dimensionality as the CFT. In this case, the d-dimensional CFT describing the black hole microstate would give a precise, microscopic description of the d-dimensional cosmological physics.},

  doi          = {10.1007/jhep07(2019)065},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 7,

  volume       = 2019,

  place        = {United States},

  year         = {2019},

  month        = {7}

}

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DOI: 10.48550/arxiv.hep-th/9906040

An Alternative to Compactification
text, January 1999

Randall, Lisa; Sundrum, Raman
arXiv
DOI: 10.48550/arxiv.hep-th/9906064

Holography and Compactification
text, January 1999

Verlinde, Herman
arXiv
DOI: 10.48550/arxiv.hep-th/9906182

Dynamics of Anti-de Sitter Domain Walls
text, January 1999

Kraus, Per
arXiv
DOI: 10.48550/arxiv.hep-th/9910149

AdS/CFT and gravity
text, January 1999

Gubser, Steven S.
arXiv
DOI: 10.48550/arxiv.hep-th/9912001

Works referencing / citing this record:

Complexity in the presence of a boundary
journal, February 2020

Braccia, Paolo; Cotrone, Aldo L.; Tonni, Erik
Journal of High Energy Physics, Vol. 2020, Issue 2
DOI: 10.1007/jhep02(2020)051

Does boundary distinguish complexities?
journal, November 2019

Sato, Yoshiki; Watanabe, Kento
Journal of High Energy Physics, Vol. 2019, Issue 11
DOI: 10.1007/jhep11(2019)132

Probing typical black hole microstates
journal, January 2020

de Boer, Jan; van Breukelen, Rik; Lokhande, Sagar F.
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/jhep01(2020)062

First Law of Holographic Complexity
journal, August 2019

Bernamonti, Alice; Galli, Federico; Hernandez, Juan
Physical Review Letters, Vol. 123, Issue 8
DOI: 10.1103/physrevlett.123.081601

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Title: Black hole microstate cosmology

Abstract

Citation Formats

Instability of the Kaluza-Klein vacuum journal, February 1982

Addendum to computational complexity and black hole horizons: Addendum to computational complexity and black hole horizons journal, January 2016

Eternal black holes in anti-de Sitter journal, April 2003

Brane new world journal, June 2000

Locally Localized Gravity journal, February 2001

Single-exterior black holes and the AdS-CFT conjecture journal, February 1999

The Black Hole Singularity in AdS/CFT journal, February 2004

Quantum quenches in 1 + 1 dimensional conformal field theories journal, June 2016

Gravity in warped compactifications and the holographic stress tensor journal, August 2001

Randall–Sundrum II cosmology, AdS/CFT, and the bulk black hole journal, August 2001

An apologia for firewalls journal, September 2013

Holographic renormalization group flows and boundary conformal field theories journal, November 2012

AdS/CFT and gravity journal, March 2001

Open and closed string interpretation of SUSY CFT's on branes with boundaries journal, May 2001

Black hole collapse in the 1/c expansion journal, July 2016

Quantum-First Gravity journal, February 2019

Effective theories and black hole production in warped compactifications journal, July 2001

Lower Bound on the Entropy of Boundaries and Junctions in ( 1 + 1 )-Dimensional Quantum Critical Systems journal, October 2012

Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models journal, May 2017

An infalling observer in AdS/CFT journal, October 2013

Localization of Gravity in Brane World Cosmologies journal, May 2003

Complexity and shock wave geometries journal, December 2014

Holography and compactification journal, July 2000

Holographic Dual of a Boundary Conformal Field Theory journal, August 2011

Remarks on the necessity and implications of state-dependence in the black hole interior journal, April 2016

AdS/CFT and Randall-Sundrum model without a brane journal, May 2001

Linearized gravity in brane backgrounds journal, March 2000

The holographic spacetime model of cosmology journal, October 2018

Gravitational action for spacetimes with nonsmooth boundaries journal, April 1993

Gravity in the Randall-Sundrum Brane World journal, March 2000

Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems journal, July 1991

AdS/CFT duality and the black hole information paradox journal, February 2002

Distinguishability of black hole microstates journal, September 2017

Holographic evolution of entanglement entropy journal, November 2010

Time evolution of entanglement entropy from black hole interiors journal, May 2013

The dS/CFT correspondence journal, October 2001

Holography for cosmology journal, January 2010

Gibbs states of a one dimensional quantum lattice journal, June 1969

Locally Localized Gravity conference, November 2011

AdS/CFT duals of topological black holes and the entropy of zero-energy states journal, June 1999

Boundary Entropy of One-Dimensional Quantum Systems at Low Temperature journal, July 2004

Divergences in holographic complexity journal, April 2017

Boundary conditions, fusion rules and the Verlinde formula journal, October 1989

Action growth for AdS black holes journal, September 2016

Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories journal, January 2017

Universal spectrum of 2d conformal field theory in the large c limit journal, September 2014

Braneworld resonances journal, August 2005

Universal aspects of gravity localized on thick branes journal, August 2000

Rindler quantum gravity journal, November 2012

Brane-World Gravity journal, September 2010

Black holes: complementarity or firewalls? journal, February 2013

Aspects of the Papadodimas-Raju proposal for the black hole interior journal, November 2014

On massless 4D gravitons from asymptotically space–times journal, June 2007

State-dependent bulk-boundary maps and black hole complementarity journal, April 2014

Boundary states as holographic duals of trivial spacetimes journal, May 2015

On the time dependence of holographic complexity journal, November 2017

The fuzzball proposal for black holes journal, October 2008

Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model journal, November 2015

Simple holographic duals to boundary CFTs journal, February 2012

Wave function of the Universe journal, December 1983

Locally localized gravity journal, May 2001

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal, May 2006

The dS/dS Correspondence conference, January 2004

Minimally entangled typical thermal state algorithms journal, May 2010

Precise lower bound on Monster brane boundary entropy journal, July 2013

Holographic Complexity Equals Bulk Action? journal, May 2016

On the interior geometry of a typical black hole microstate journal, May 2019

Comments on holographic complexity journal, March 2017

A boundary term for the gravitational action with null boundaries journal, June 2016

Statistical Interpretation of the Bekenstein Entropy for Systems with a Stretched Horizon journal, May 2002

The fuzzball proposal for black holes: an elementary review journal, July 2005

Dynamics of anti-de Sitter domain walls journal, December 1999

An Alternative to Compactification journal, December 1999

Delocalization of brane gravity by a bulk black hole journal, July 2005

Quantum quenches to a critical point in one dimension: some further results journal, February 2016

Holographic Entanglement Entropy at Finite Temperature journal, June 2009

Holographic duals of boundary CFTs journal, July 2012

Instability of the Kaluza-Klein vacuum
journal, February 1982

Addendum to computational complexity and black hole horizons: Addendum to computational complexity and black hole horizons
journal, January 2016

Eternal black holes in anti-de Sitter
journal, April 2003

Brane new world
journal, June 2000

Locally Localized Gravity
journal, February 2001

Single-exterior black holes and the AdS-CFT conjecture
journal, February 1999

The Black Hole Singularity in AdS/CFT
journal, February 2004

Quantum quenches in 1 + 1 dimensional conformal field theories
journal, June 2016

Gravity in warped compactifications and the holographic stress tensor
journal, August 2001

Randall–Sundrum II cosmology, AdS/CFT, and the bulk black hole
journal, August 2001

An apologia for firewalls
journal, September 2013

Holographic renormalization group flows and boundary conformal field theories
journal, November 2012

AdS/CFT and gravity
journal, March 2001

Open and closed string interpretation of SUSY CFT's on branes with boundaries
journal, May 2001

Black hole collapse in the 1/c expansion
journal, July 2016

Quantum-First Gravity
journal, February 2019

Effective theories and black hole production in warped compactifications
journal, July 2001

Lower Bound on the Entropy of Boundaries and Junctions in ( $1 + 1$ )-Dimensional Quantum Critical Systems
journal, October 2012

Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
journal, May 2017

An infalling observer in AdS/CFT
journal, October 2013

Localization of Gravity in Brane World Cosmologies
journal, May 2003

Complexity and shock wave geometries
journal, December 2014

Holography and compactification
journal, July 2000

Holographic Dual of a Boundary Conformal Field Theory
journal, August 2011

Remarks on the necessity and implications of state-dependence in the black hole interior
journal, April 2016

AdS/CFT and Randall-Sundrum model without a brane
journal, May 2001

Linearized gravity in brane backgrounds
journal, March 2000

The holographic spacetime model of cosmology
journal, October 2018

Gravitational action for spacetimes with nonsmooth boundaries
journal, April 1993

Gravity in the Randall-Sundrum Brane World
journal, March 2000

Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
journal, July 1991

AdS/CFT duality and the black hole information paradox
journal, February 2002

Distinguishability of black hole microstates
journal, September 2017

Holographic evolution of entanglement entropy
journal, November 2010

Time evolution of entanglement entropy from black hole interiors
journal, May 2013

The dS/CFT correspondence
journal, October 2001

Holography for cosmology
journal, January 2010

Gibbs states of a one dimensional quantum lattice
journal, June 1969

Locally Localized Gravity
conference, November 2011

AdS/CFT duals of topological black holes and the entropy of zero-energy states
journal, June 1999

Boundary Entropy of One-Dimensional Quantum Systems at Low Temperature
journal, July 2004

Divergences in holographic complexity
journal, April 2017

Boundary conditions, fusion rules and the Verlinde formula
journal, October 1989

Action growth for AdS black holes
journal, September 2016

Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories
journal, January 2017

Universal spectrum of 2d conformal field theory in the large c limit
journal, September 2014

Braneworld resonances
journal, August 2005

Universal aspects of gravity localized on thick branes
journal, August 2000

Rindler quantum gravity
journal, November 2012

Brane-World Gravity
journal, September 2010

Black holes: complementarity or firewalls?
journal, February 2013

Aspects of the Papadodimas-Raju proposal for the black hole interior
journal, November 2014

On massless 4D gravitons from asymptotically space–times
journal, June 2007

State-dependent bulk-boundary maps and black hole complementarity
journal, April 2014

Boundary states as holographic duals of trivial spacetimes
journal, May 2015

On the time dependence of holographic complexity
journal, November 2017

The fuzzball proposal for black holes
journal, October 2008

Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model
journal, November 2015

Simple holographic duals to boundary CFTs
journal, February 2012

Wave function of the Universe
journal, December 1983

Locally localized gravity
journal, May 2001

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

The dS/dS Correspondence
conference, January 2004

Minimally entangled typical thermal state algorithms
journal, May 2010

Precise lower bound on Monster brane boundary entropy
journal, July 2013

Holographic Complexity Equals Bulk Action?
journal, May 2016

On the interior geometry of a typical black hole microstate
journal, May 2019

Comments on holographic complexity
journal, March 2017

A boundary term for the gravitational action with null boundaries
journal, June 2016

Statistical Interpretation of the Bekenstein Entropy for Systems with a Stretched Horizon
journal, May 2002

The fuzzball proposal for black holes: an elementary review
journal, July 2005

Dynamics of anti-de Sitter domain walls
journal, December 1999

An Alternative to Compactification
journal, December 1999

Delocalization of brane gravity by a bulk black hole
journal, July 2005

Quantum quenches to a critical point in one dimension: some further results
journal, February 2016

Holographic Entanglement Entropy at Finite Temperature
journal, June 2009

Holographic duals of boundary CFTs
journal, July 2012

Aspects of AdS/BCFT
journal, November 2011

New proposal for a holographic boundary conformal field theory
journal, August 2017

Toward a holographic theory for general spacetimes
journal, April 2017