# A holographic model for black hole complementarity

## Abstract

Here, we explore a version of black hole complementarity, where an approximate semiclassical effective field theory for interior infalling degrees of freedom emerges holo-graphically from an exact evolution of exterior degrees of freedom. The infalling degrees of freedom have a complementary description in terms of outgoing Hawking radiation and must eventually decohere with respect to the exterior Hamiltonian, leading to a breakdown of the semiclassical description for an infaller. Trace distance is used to quantify the difference between the complementary time evolutions, and to define a decoherence time. We propose a dictionary where the evolution with respect to the bulk effective Hamiltonian corresponds to mean field evolution in the holographic theory. In a particular model for the holographic theory, which exhibits fast scrambling, the decoherence time coincides with the scrambling time. The results support the hypothesis that decoherence of the infalling holographic state and disruptive bulk effects near the curvature singularity are comple-mentary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.

- Authors:

- Brown Univ., Providence, RI (United States). Dept. of Physics
- Univ. of Iceland, Reykjavik (Iceland). Science Inst.; Stockholm Univ. (Sweden). Oskar Klein Centre for Cosmoparticle Physics, AlbaNova Univ. Centre, Dept. of Physics

- Publication Date:

- Research Org.:
- Brown Univ., Providence, RI (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1358553

- Grant/Contract Number:
- SC0010010

- Resource Type:
- Journal Article: Accepted Manuscript

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

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 12; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT correspondence; black holes; models of quantum gravity

### Citation Formats

```
Lowe, David A., and Thorlacius, Larus.
```*A holographic model for black hole complementarity*. United States: N. p., 2016.
Web. doi:10.1007/JHEP12(2016)024.

```
Lowe, David A., & Thorlacius, Larus.
```*A holographic model for black hole complementarity*. United States. doi:10.1007/JHEP12(2016)024.

```
Lowe, David A., and Thorlacius, Larus. Wed .
"A holographic model for black hole complementarity". United States.
doi:10.1007/JHEP12(2016)024. https://www.osti.gov/servlets/purl/1358553.
```

```
@article{osti_1358553,
```

title = {A holographic model for black hole complementarity},

author = {Lowe, David A. and Thorlacius, Larus},

abstractNote = {Here, we explore a version of black hole complementarity, where an approximate semiclassical effective field theory for interior infalling degrees of freedom emerges holo-graphically from an exact evolution of exterior degrees of freedom. The infalling degrees of freedom have a complementary description in terms of outgoing Hawking radiation and must eventually decohere with respect to the exterior Hamiltonian, leading to a breakdown of the semiclassical description for an infaller. Trace distance is used to quantify the difference between the complementary time evolutions, and to define a decoherence time. We propose a dictionary where the evolution with respect to the bulk effective Hamiltonian corresponds to mean field evolution in the holographic theory. In a particular model for the holographic theory, which exhibits fast scrambling, the decoherence time coincides with the scrambling time. The results support the hypothesis that decoherence of the infalling holographic state and disruptive bulk effects near the curvature singularity are comple-mentary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.},

doi = {10.1007/JHEP12(2016)024},

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

number = 12,

volume = 2016,

place = {United States},

year = {Wed Dec 07 00:00:00 EST 2016},

month = {Wed Dec 07 00:00:00 EST 2016}

}

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