Holographic Complexity Equals Bulk Action?
We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti–de Sitter spacetime, as well as black h...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2016
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| Online Access: | http://hdl.handle.net/1721.1/102461 https://orcid.org/0000-0002-8348-6506 |
| _version_ | 1826203433774874624 |
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| author | Brown, Adam R. Susskind, Leonard Swingle, Brian Zhao, Ying Roberts, Daniel Adam |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Brown, Adam R. Susskind, Leonard Swingle, Brian Zhao, Ying Roberts, Daniel Adam |
| author_sort | Brown, Adam R. |
| collection | MIT |
| description | We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti–de Sitter spacetime, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature. |
| first_indexed | 2024-09-23T12:37:14Z |
| format | Article |
| id | mit-1721.1/102461 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:37:14Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1024612022-09-28T09:01:49Z Holographic Complexity Equals Bulk Action? Brown, Adam R. Susskind, Leonard Swingle, Brian Zhao, Ying Roberts, Daniel Adam Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Roberts, Daniel Adam We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti–de Sitter spacetime, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature. Hertz Foundation United States. Dept. of Energy (Cooperative Research Agreement Contract DE-SC0012567) 2016-05-12T01:35:50Z 2016-05-12T01:35:50Z 2016-05 2016-01 2016-05-09T22:00:05Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/102461 Brown, Adam R., Daniel A. Roberts, Leonard Susskind, Brian Swingle, and Ying Zhao. “Holographic Complexity Equals Bulk Action?” Physical Review Letters 116, no. 19 (May 9, 2016). © 2016 American Physical Society https://orcid.org/0000-0002-8348-6506 en http://dx.doi.org/10.1103/PhysRevLett.116.191301 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Brown, Adam R. Susskind, Leonard Swingle, Brian Zhao, Ying Roberts, Daniel Adam Holographic Complexity Equals Bulk Action? |
| title | Holographic Complexity Equals Bulk Action? |
| title_full | Holographic Complexity Equals Bulk Action? |
| title_fullStr | Holographic Complexity Equals Bulk Action? |
| title_full_unstemmed | Holographic Complexity Equals Bulk Action? |
| title_short | Holographic Complexity Equals Bulk Action? |
| title_sort | holographic complexity equals bulk action |
| url | http://hdl.handle.net/1721.1/102461 https://orcid.org/0000-0002-8348-6506 |
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