Asymptotic charges cannot be measured in finite time

Bousso, Raphael; Chandrasekaran, Venkatesa; Halpern, Illan F.; Wall, Aron C.

doi:10.1103/PhysRevD.97.046014

Title: Asymptotic charges cannot be measured in finite time

Abstract

To study quantum gravity in asymptotically flat spacetimes, one would like to understand the algebra of observables at null infinity. Here we show that the Bondi mass cannot be observed in finite retarded time, and so is not contained in the algebra on any finite portion of I⁺. This follows immediately from recently discovered asymptotic entropy bounds. We verify this explicitly, and we find that attempts to measure a conserved charge at arbitrarily large radius in fixed retarded time are thwarted by quantum fluctuations. We comment on the implications of our results to flat space holography and the BMS charges at I⁺.

Authors:

Bousso, Raphael ^[1]; Chandrasekaran, Venkatesa ^[1]; Halpern, Illan F. ^[1]; Wall, Aron C. ^[2]

Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Stanford Univ., CA (United States). Varian Lab. of Physics

Publication Date:: Wed Feb 28 00:00:00 EST 2018

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Berkeley Center for Theoretical Physics (BCTP); Inst. for Advanced Study, Princeton, NJ (United States); National Science Foundation (NSF); Foundational Questions Inst. (FQXi); Raymond and Beverly Sackler Foundation; Stanford Univ., Stanford, CA (United States). Stanford Inst. for Theoretical Physics (SITP); Simons Foundation

OSTI Identifier:: 1423163

Alternate Identifier(s):: OSTI ID: 1434025

Grant/Contract Number:: AC02-05CH11231; 1521446; 1316783; 1314311

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 4; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; general relativity; quantum gravity; quantum field theory

Citation Formats


                    Bousso, Raphael, Chandrasekaran, Venkatesa, Halpern, Illan F., and Wall, Aron C. Asymptotic charges cannot be measured in finite time.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.046014.

Copy to clipboard


                    Bousso, Raphael, Chandrasekaran, Venkatesa, Halpern, Illan F., & Wall, Aron C. Asymptotic charges cannot be measured in finite time.  United States.  https://doi.org/10.1103/PhysRevD.97.046014

Copy to clipboard


                    Bousso, Raphael, Chandrasekaran, Venkatesa, Halpern, Illan F., and Wall, Aron C. Wed .  
"Asymptotic charges cannot be measured in finite time".  United States.  https://doi.org/10.1103/PhysRevD.97.046014.

Copy to clipboard


                    
@article{osti_1423163,

  title        = {Asymptotic charges cannot be measured in finite time},

  author       = {Bousso, Raphael and Chandrasekaran, Venkatesa and Halpern, Illan F. and Wall, Aron C.},

  abstractNote = {To study quantum gravity in asymptotically flat spacetimes, one would like to understand the algebra of observables at null infinity. Here we show that the Bondi mass cannot be observed in finite retarded time, and so is not contained in the algebra on any finite portion of I+. This follows immediately from recently discovered asymptotic entropy bounds. We verify this explicitly, and we find that attempts to measure a conserved charge at arbitrarily large radius in fixed retarded time are thwarted by quantum fluctuations. We comment on the implications of our results to flat space holography and the BMS charges at I+.},

  doi          = {10.1103/PhysRevD.97.046014},

  journal      = {Physical Review. D.},

  number       = 4,

  volume       = 97,

  place        = {United States},

  year         = {Wed Feb 28 00:00:00 EST 2018},

  month        = {Wed Feb 28 00:00:00 EST 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.97.046014

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Entropy on a null surface for interacting quantum field theories and the Bousso bound
journal, April 2015

Bousso, Raphael; Casini, Horacio; Fisher, Zachary
Physical Review D, Vol. 91, Issue 8
DOI: 10.1103/PhysRevD.91.084030

Universal Limit on Communication
journal, October 2017

Bousso, Raphael
Physical Review Letters, Vol. 119, Issue 14
DOI: 10.1103/PhysRevLett.119.140501

A covariant entropy conjecture
journal, July 1999

Bousso, Raphael
Journal of High Energy Physics, Vol. 1999, Issue 07
DOI: 10.1088/1126-6708/1999/07/004

2D Stress Tensor for 4D Gravity
journal, September 2017

Kapec, Daniel; Mitra, Prahar; Raclariu, Ana-Maria
Physical Review Letters, Vol. 119, Issue 12
DOI: 10.1103/PhysRevLett.119.121601

Note on Charge and Field Fluctuations
journal, January 1935

Oppenheimer, J. R.
Physical Review, Vol. 47, Issue 2
DOI: 10.1103/PhysRev.47.144

Proof of classical versions of the Bousso entropy bound and of the generalized second law
journal, September 2000

Flanagan, Éanna É.; Marolf, Donald; Wald, Robert M.
Physical Review D, Vol. 62, Issue 8
DOI: 10.1103/PhysRevD.62.084035

Asymptotic entropy bounds
journal, July 2016

Bousso, Raphael
Physical Review D, Vol. 94, Issue 2
DOI: 10.1103/PhysRevD.94.024018

On BMS invariance of gravitational scattering
journal, July 2014

Strominger, Andrew
Journal of High Energy Physics, Vol. 2014, Issue 7
DOI: 10.1007/JHEP07(2014)152

BMS charge algebra
journal, December 2011

Barnich, Glenn; Troessaert, Cédric
Journal of High Energy Physics, Vol. 2011, Issue 12
DOI: 10.1007/JHEP12(2011)105

Flat space amplitudes and conformal symmetry of the celestial sphere
journal, September 2017

Pasterski, Sabrina; Shao, Shu-Heng; Strominger, Andrew
Physical Review D, Vol. 96, Issue 6
DOI: 10.1103/PhysRevD.96.065026

Gravitational memory, BMS supertranslations and soft theorems
journal, January 2016

Strominger, Andrew; Zhiboedov, Alexander
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)086

Proof of the quantum null energy condition
journal, January 2016

Bousso, Raphael; Fisher, Zachary; Koeller, Jason
Physical Review D, Vol. 93, Issue 2
DOI: 10.1103/PhysRevD.93.024017

Field and Charge Measurements in Quantum Electrodynamics
journal, June 1950

Bohr, N.; Rosenfeld, L.
Physical Review, Vol. 78, Issue 6
DOI: 10.1103/PhysRev.78.794

Information content of gravitational radiation and the vacuum
journal, September 2016

Bousso, Raphael; Halpern, Illan; Koeller, Jason
Physical Review D, Vol. 94, Issue 6
DOI: 10.1103/PhysRevD.94.064047

Proof of a quantum Bousso bound
journal, August 2014

Bousso, Raphael; Casini, Horacio; Fisher, Zachary
Physical Review D, Vol. 90, Issue 4
DOI: 10.1103/PhysRevD.90.044002

Asymptotic Quantization of the Gravitational Field
journal, March 1981

Ashtekar, Abhay
Physical Review Letters, Vol. 46, Issue 9
DOI: 10.1103/PhysRevLett.46.573

4D scattering amplitudes and asymptotic symmetries from 2D CFT
journal, January 2017

Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman
Journal of High Energy Physics, Vol. 2017, Issue 1
DOI: 10.1007/JHEP01(2017)112

Quantum focusing conjecture
journal, March 2016

Bousso, Raphael; Fisher, Zachary; Leichenauer, Stefan
Physical Review D, Vol. 93, Issue 6
DOI: 10.1103/PhysRevD.93.064044

Similar Records in DOE PAGES and OSTI.GOV collections:

Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories

Journal Article Bagchi, Arjun - Physical Review Letters

We find a surprising connection between asymptotically flat spacetimes and nonrelativistic conformal systems in one lower dimension. The Bondi-Metzner-Sachs (BMS) group is the group of asymptotic isometries of flat Minkowski space at null infinity. This is known to be infinite dimensional in three and four dimensions. We show that the BMS algebra in 3 dimensions is the same as the 2D Galilean conformal algebra (GCA) which is of relevance to nonrelativistic conformal symmetries. We further justify our proposal by looking at a Penrose limit on a radially infalling null ray inspired by nonrelativistic scaling and obtain a flat metric. Themore »« less
https://doi.org/10.1103/PHYSREVLETT.105.171601
Subleading BMS charges and fake news near null infinity

Journal Article Godazgar, Hadi ; Godazgar, Mahdi ; Pope, C. N. - Journal of High Energy Physics (Online)

In this paper we establish a relation between the non-linearly conserved New-man-Penrose charges and certain subleading terms in a large-r expansion of the BMS charges in an asymptotically-flat spacetime. We define the subleading BMS charges by considering a 1/r-expansion of the Barnich-Brandt prescription for defining asymptotic charges in an asymptotically-flat spacetime. At the leading order, i.e. 1/r⁰, one obtains the standard BMS charges, which would be integrable and conserved in the absence of a flux term at null infinity, corresponding to gravitational radiation, or Bondi news. At subleading orders, analogous terms in general provide obstructions to the integrability of themore »« less
Cited by 32
https://doi.org/10.1007/jhep01(2019)143

Full Text Available
Evaporation of two-dimensional black holes

Journal Article Ashtekar, Abhay ; Pretorius, Frans ; Ramazanoglu, Fethi M - Physical Review. D, Particles Fields

We present a detailed analysis of results from a new study of the quantum evaporation of Callan-Giddings-Harvey-Strominger black holes within the mean-field approximation. This semiclassical theory incorporates backreaction. Our analytical and numerical calculations show that, while some of the assumptions underlying the standard evaporation paradigm are borne out, several are not. One of the anticipated properties we confirm is that the semiclassical space-time is asymptotically flat at right future null infinity I{sub R}{sup +} yet incomplete in the sense that null observers reach a future Cauchy horizon in finite affine time. Unexpected behavior includes that the Bondi mass traditionally usedmore »« less
https://doi.org/10.1103/PHYSREVD.83.044040
Black hole physics from two-dimensional dilaton gravity based on the SL(2,[ital R])/U(1) coset model

Journal Article Nojiri, S ; Oda, I - Physical Review, D (Particles Fields); (United States)

We analyze the quantum two-dimensional dilaton gravity model, which is described by the SL(2,[ital R])/U(1) gauged Wess-Zumino-Witten model deformed by a (1,1) operator. We show that the curvature singularity does not appear when the central charge [ital c][sub matter] of the matter fields is given by 22[lt][ital c][sub matter][lt]24. When 22[lt][ital c][sub matter][lt]24, the matter shock waves, whose energy-momentum tensors are given by [ital T][sub matter][proportional to][delta]([ital x][sup +][minus][ital x][sub 0][sup +]), create a kind of wormholes, i.e., causally disconnected regions. Most of the quantum information in past null infinity is lost in future null infinity but the lost informationmore »« less
https://doi.org/10.1103/PhysRevD.49.4066
Asymptotic symmetries of Rindler space at the horizon and null infinity

Journal Article Chung, Hyeyoun - Physical Review. D, Particles Fields

We investigate the asymptotic symmetries of Rindler space at null infinity and at the event horizon using both systematic and ad hoc methods. We find that the approaches that yield infinite-dimensional asymptotic symmetry algebras in the case of anti-de Sitter and flat spaces only give a finite-dimensional algebra for Rindler space at null infinity. We calculate the charges corresponding to these symmetries and confirm that they are finite, conserved, and integrable, and that the algebra of charges gives a representation of the asymptotic symmetry algebra. We also use relaxed boundary conditions to find infinite-dimensional asymptotic symmetry algebras for Rindler spacemore »« less
https://doi.org/10.1103/PHYSREVD.82.044019

Similar Records

Title: Asymptotic charges cannot be measured in finite time

Abstract

Citation Formats

Entropy on a null surface for interacting quantum field theories and the Bousso bound journal, April 2015

Universal Limit on Communication journal, October 2017

A covariant entropy conjecture journal, July 1999

2D Stress Tensor for 4D Gravity journal, September 2017

Note on Charge and Field Fluctuations journal, January 1935

Proof of classical versions of the Bousso entropy bound and of the generalized second law journal, September 2000

Asymptotic entropy bounds journal, July 2016

On BMS invariance of gravitational scattering journal, July 2014

BMS charge algebra journal, December 2011

Flat space amplitudes and conformal symmetry of the celestial sphere journal, September 2017

Gravitational memory, BMS supertranslations and soft theorems journal, January 2016

Proof of the quantum null energy condition journal, January 2016

Field and Charge Measurements in Quantum Electrodynamics journal, June 1950

Information content of gravitational radiation and the vacuum journal, September 2016

Proof of a quantum Bousso bound journal, August 2014

Asymptotic Quantization of the Gravitational Field journal, March 1981

4D scattering amplitudes and asymptotic symmetries from 2D CFT journal, January 2017

Quantum focusing conjecture journal, March 2016

Entropy on a null surface for interacting quantum field theories and the Bousso bound
journal, April 2015

Universal Limit on Communication
journal, October 2017

A covariant entropy conjecture
journal, July 1999

2D Stress Tensor for 4D Gravity
journal, September 2017

Note on Charge and Field Fluctuations
journal, January 1935

Proof of classical versions of the Bousso entropy bound and of the generalized second law
journal, September 2000

Asymptotic entropy bounds
journal, July 2016

On BMS invariance of gravitational scattering
journal, July 2014

BMS charge algebra
journal, December 2011

Flat space amplitudes and conformal symmetry of the celestial sphere
journal, September 2017

Gravitational memory, BMS supertranslations and soft theorems
journal, January 2016

Proof of the quantum null energy condition
journal, January 2016

Field and Charge Measurements in Quantum Electrodynamics
journal, June 1950

Information content of gravitational radiation and the vacuum
journal, September 2016

Proof of a quantum Bousso bound
journal, August 2014

Asymptotic Quantization of the Gravitational Field
journal, March 1981

4D scattering amplitudes and asymptotic symmetries from 2D CFT
journal, January 2017

Quantum focusing conjecture
journal, March 2016