Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?

Berenstein, David; Miller, Alexandra

doi:10.1103/PhysRevLett.118.261601

Title: Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?

Abstract

In the context of LLM geometries, we show that superpositions of classical coherent states of trivial topology can give rise to new classical limits where the topology of spacetime has changed. We argue that this phenomenon implies that neither the topology nor the geometry of spacetime can be the result of an operator measurement. We address how to reconcile these statements with the usual semiclassical analysis of low energy effective field theory for gravity.

Authors:

Berenstein, David ^[1]; Miller, Alexandra ^[1]

Univ. of California, Santa Barbara, CA (United States)

Publication Date:: Mon Jun 26 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1601984

Alternate Identifier(s):: OSTI ID: 1366584

Grant/Contract Number:: SC0011702; SC 0011702

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 118; Journal Issue: 26; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Berenstein, David, and Miller, Alexandra. Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevLett.118.261601.

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                    Berenstein, David, & Miller, Alexandra. Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?.  United States.  https://doi.org/10.1103/PhysRevLett.118.261601

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                    Berenstein, David, and Miller, Alexandra. Mon .  
"Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?".  United States.  https://doi.org/10.1103/PhysRevLett.118.261601.  https://www.osti.gov/servlets/purl/1601984.

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@article{osti_1601984,

  title        = {Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?},

  author       = {Berenstein, David and Miller, Alexandra},

  abstractNote = {In the context of LLM geometries, we show that superpositions of classical coherent states of trivial topology can give rise to new classical limits where the topology of spacetime has changed. We argue that this phenomenon implies that neither the topology nor the geometry of spacetime can be the result of an operator measurement. We address how to reconcile these statements with the usual semiclassical analysis of low energy effective field theory for gravity.},

  doi          = {10.1103/PhysRevLett.118.261601},

  journal      = {Physical Review Letters},

  number       = 26,

  volume       = 118,

  place        = {United States},

  year         = {Mon Jun 26 00:00:00 EDT 2017},

  month        = {Mon Jun 26 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referenced in this record:

Exact correlators of giant gravitons from dual $N = 4$ SYM theory
journal, January 2001

Corley, Steve; Jevicki, Antal; Ramgoolam, Sanjaye
Advances in Theoretical and Mathematical Physics, Vol. 5, Issue 4
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LLM magnons
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Building up spacetime with quantum entanglement
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The large $N$ limit of superconformal field theories and supergravity
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Remarks on the necessity and implications of state-dependence in the black hole interior
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Papadodimas, Kyriakos; Raju, Suvrat
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Anti de Sitter space and holography
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Witten, Edward
Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
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Building up Space–Time with Quantum Entanglement
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Van Raamsdonk, Mark
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Reconstructing spacetime from the hologram, even in the classical limit, requires physics beyond the Planck scale
journal, October 2016

Berenstein, David; Miller, Alexandra
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Edge waves in the quantum Hall effect
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Geometries from Young diagrams
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Koch, Robert de Mello
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Invasion of the giant gravitons from anti-de Sitter space
journal, May 2000

McGreevy, John; Susskind, Leonard; Toumbas, Nicolaos
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Cool horizons for entangled black holes
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Maldacena, J.; Susskind, L.
Fortschritte der Physik, Vol. 61, Issue 9
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The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Maldacena, Juan
International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
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Minisuperspace quantization of ``Bubbling AdS" and free fermion droplets
journal, August 2005

Grant, Lars; Maoz, Liat; Marsano, Joseph
Journal of High Energy Physics, Vol. 2005, Issue 08
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Schur functions, chiral bosons, and the quantum-Hall-effect edge states
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Linearity of holographic entanglement entropy
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Works referencing / citing this record:

Code subspaces for LLM geometries
journal, February 2018

Berenstein, David; Miller, Alexandra
Classical and Quantum Gravity, Vol. 35, Issue 6
DOI: 10.1088/1361-6382/aaa623

Code subspaces for LLM geometries
text, January 2017

Berenstein, David; Miller, Alexandra
arXiv
DOI: 10.48550/arxiv.1708.00035

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Title: Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?

Abstract

Citation Formats

Exact correlators of giant gravitons from dual $N = 4$ SYM theory journal, January 2001

LLM magnons journal, March 2016

Building up spacetime with quantum entanglement journal, June 2010

The large $N$ limit of superconformal field theories and supergravity journal, January 1998

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

Anti de Sitter space and holography journal, January 1998

Building up Space–Time with Quantum Entanglement journal, December 2010

Reconstructing spacetime from the hologram, even in the classical limit, requires physics beyond the Planck scale journal, October 2016

Edge waves in the quantum Hall effect journal, April 1991

Geometries from Young diagrams journal, November 2008

Invasion of the giant gravitons from anti-de Sitter space journal, May 2000

Cool horizons for entangled black holes journal, August 2013

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Minisuperspace quantization of ``Bubbling AdS" and free fermion droplets journal, August 2005

Schur functions, chiral bosons, and the quantum-Hall-effect edge states journal, November 1990

Folds, bosonization and non-triviality of the classical limit of 2D string theory journal, January 1996

A toy model for the AdS/CFT correspondence journal, July 2004

Bubbling AdS space and 1/2 BPS geometries journal, October 2004

Linearity of holographic entanglement entropy journal, February 2017

Code subspaces for LLM geometries journal, February 2018

Code subspaces for LLM geometries text, January 2017

Exact correlators of giant gravitons from dual $N = 4$ SYM theory
journal, January 2001

LLM magnons
journal, March 2016

Building up spacetime with quantum entanglement
journal, June 2010

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

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

Anti de Sitter space and holography
journal, January 1998

Building up Space–Time with Quantum Entanglement
journal, December 2010

Reconstructing spacetime from the hologram, even in the classical limit, requires physics beyond the Planck scale
journal, October 2016

Edge waves in the quantum Hall effect
journal, April 1991

Geometries from Young diagrams
journal, November 2008

Invasion of the giant gravitons from anti-de Sitter space
journal, May 2000

Cool horizons for entangled black holes
journal, August 2013

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Minisuperspace quantization of ``Bubbling AdS" and free fermion droplets
journal, August 2005

Schur functions, chiral bosons, and the quantum-Hall-effect edge states
journal, November 1990

Folds, bosonization and non-triviality of the classical limit of 2D string theory
journal, January 1996

A toy model for the AdS/CFT correspondence
journal, July 2004

Bubbling AdS space and 1/2 BPS geometries
journal, October 2004

Linearity of holographic entanglement entropy
journal, February 2017

Code subspaces for LLM geometries
journal, February 2018

Code subspaces for LLM geometries
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