Holographic Complexity Equals Bulk Action?
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No Canadian affiliation. An affiliation-only frame — the usual design — would never have seen this work. It is one of the works that make the case for inverting the frame.
Abstract
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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The record
- Venue
- Physical Review Letters
- Topic
- Black Holes and Theoretical Physics
- Field
- Physics and Astronomy
- Canadian institutions
- —
- Funders
- Institut Périmètre de physique théoriqueHertz FoundationJohn Templeton FoundationSimons FoundationU.S. Department of EnergyNational Science Foundation
- Keywords
- Action (physics)HolographyPhysicsTheoretical physicsQuantum mechanicsStatistical physics
- Has abstract in OpenAlex
- yes