skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum information bound on the energy

Abstract

According to the classical Penrose inequality, the mass at spatial infinity is bounded from below by a function of the area of certain trapped surfaces. We exhibit quantum field theory states that violate this relation at the semiclassical level. We formulate a quantum Penrose inequality, by replacing the area with the generalized entropy of the light sheet of an appropriate quantum trapped surface. We perform a number of nontrivial tests of our proposal, and we consider and rule out alternative formulations. We also discuss the relation to weak cosmic censorship.

Authors:
; ORCiD logo;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); QuantISED Award; National Science Foundation (NSF)
OSTI Identifier:
1577920
Alternate Identifier(s):
OSTI ID: 1737592
Grant/Contract Number:  
SC0019380; AC02-05CH11231; PHY-1820912; GravBHs-692951
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; General relativity; quantum aspects of black holes; quantum gravity

Citation Formats

Bousso, Raphael, Shahbazi-Moghaddam, Arvin, and Tomašević, Marija. Quantum information bound on the energy. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.126010.
Bousso, Raphael, Shahbazi-Moghaddam, Arvin, & Tomašević, Marija. Quantum information bound on the energy. United States. doi:10.1103/PhysRevD.100.126010.
Bousso, Raphael, Shahbazi-Moghaddam, Arvin, and Tomašević, Marija. Tue . "Quantum information bound on the energy". United States. doi:10.1103/PhysRevD.100.126010.
@article{osti_1577920,
title = {Quantum information bound on the energy},
author = {Bousso, Raphael and Shahbazi-Moghaddam, Arvin and Tomašević, Marija},
abstractNote = {According to the classical Penrose inequality, the mass at spatial infinity is bounded from below by a function of the area of certain trapped surfaces. We exhibit quantum field theory states that violate this relation at the semiclassical level. We formulate a quantum Penrose inequality, by replacing the area with the generalized entropy of the light sheet of an appropriate quantum trapped surface. We perform a number of nontrivial tests of our proposal, and we consider and rule out alternative formulations. We also discuss the relation to weak cosmic censorship.},
doi = {10.1103/PhysRevD.100.126010},
journal = {Physical Review D},
number = 12,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.126010

Save / Share:

Works referenced in this record:

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
journal, January 2015


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


Gravitational Collapse and Space-Time Singularities
journal, January 1965


New Area Law in General Relativity
journal, August 2015


Black holes and the second law
journal, August 1972

  • Bekenstein, J. D.
  • Lettere Al Nuovo Cimento Series 2, Vol. 4, Issue 15
  • DOI: 10.1007/BF02757029

Boundary of the future of a surface
journal, January 2018


Quantum field theory in Schwarzschild and Rindler spaces
journal, March 1975


Gravitational Radiation from Colliding Black Holes
journal, May 1971


Vacuum polarization in Schwarzschild spacetime
journal, April 1980


Generalized second law for cosmology
journal, January 2016


Quantum stress tensor in the three-dimensional black hole
journal, January 1994


Holography in general space-times
journal, June 1999


Inevitability of a Naked Singularity Associated with the Black Hole Evaporation
journal, November 1979


Quantum Penrose Inequality
journal, December 2019


Holographic proof of the quantum null energy condition
journal, July 2016


Black Holes and Entropy
journal, April 1973


A general proof of the quantum null energy condition
journal, September 2019

  • Balakrishnan, Srivatsan; Faulkner, Thomas; Khandker, Zuhair U.
  • Journal of High Energy Physics, Vol. 2019, Issue 9
  • DOI: 10.1007/JHEP09(2019)020

The generalized second law implies a quantum singularity theorem
journal, July 2013


Proof of a new area law in general relativity
journal, August 2015


Quantum focusing conjecture
journal, March 2016


Present status of the Penrose inequality
journal, September 2009


A covariant entropy conjecture
journal, July 1999


Black strings and p -branes are unstable
journal, May 1993


Generalized second law of thermodynamics in black-hole physics
journal, June 1974


Naked Singularities
journal, December 1973


Saturating the holographic entropy bound
journal, October 2010


Proof of the positive mass theorem. II
journal, March 1981

  • Schoen, Richard; Yau, Shing-Tung
  • Communications in Mathematical Physics, Vol. 79, Issue 2
  • DOI: 10.1007/BF01942062

Dynamics and observer dependence of holographic screens
journal, February 2017


Violation of cosmic censorship in the gravitational collapse of a dust cloud
journal, June 1984

  • Christodoulou, Demetrios
  • Communications in Mathematical Physics, Vol. 93, Issue 2
  • DOI: 10.1007/BF01223743

Proof of the quantum null energy condition
journal, January 2016


Critical Phenomena in Gravitational Collapse
journal, December 2007

  • Gundlach, Carsten; Martín-García, José M.
  • Living Reviews in Relativity, Vol. 10, Issue 1
  • DOI: 10.12942/lrr-2007-5

Universality and scaling in gravitational collapse of a massless scalar field
journal, January 1993


Holographic argument for the Penrose inequality in AdS spacetimes
journal, June 2019


Particle emission rates from a black hole. II. Massless particles from a rotating hole
journal, December 1976


    Works referencing / citing this record:

    Quantum Penrose Inequality
    journal, December 2019