# 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:

- 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}

}

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DOI: 10.1103/PhysRevD.100.126010

DOI: 10.1103/PhysRevD.100.126010

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Works referencing / citing this record:

##
Quantum Penrose Inequality

journal, December 2019

- Bousso, Raphael; Shahbazi-Moghaddam, Arvin; Tomašević, Marija
- Physical Review Letters, Vol. 123, Issue 24