期刊
PHYSICAL REVIEW LETTERS
卷 116, 期 19, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.116.191301
关键词
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资金
- Fannie and John Hertz Foundation
- U.S. Department of Energy [DE-SC00012567]
- Simons Foundation
- National Science Foundation [0756174]
- John Templeton Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1316699] Funding Source: National Science Foundation
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.
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