Local Operators in the Eternal Black Hole
Open accessAbstract
In the AdS/CFT correspondence, states obtained by Hamiltonian evolution of the thermofield doubled state are also dual to an eternal black-hole geometry, which is glued to the boundary with a time shift generated by a large diffeomorphism. We describe gauge-invariant relational observables that probe the black hole interior in these states and constrain their properties using effective field theory. By adapting recent versions of the information paradox we show that these observables are necessarily described by state-dependent bulk-boundary maps, which we construct explicitly.
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Quantum speed limits set an upper bound to the rate at which a quantum system can evolve and can be used to analyze the scrambling of information.
“Quantum speed limits set an upper bound to the rate at which a quantum system can evolve and as such can be used to analyze the scrambling of information.”
From Scrambling the spectral form factor: Unitarity constraints and exact results (2017) · cites this paper as [12]
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- Authors
- Papadodimas, K., & Raju, S.
- Affiliations
- University of Groningen (NL)
- Tata Institute of Fundamental Research (IN)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2015-11-16
- Volume
- 115
- Issue
- 21
- Pages
- 211601-211601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1484965124
- Cited by
- 133
- References
- 36
- Citations by year
- 2026: 8 · 2025: 10 · 2024: 7 · 2023: 15 · 2022: 13 · 2021: 12 · 2020: 12 · 2019: 13 · 2018: 14 · 2017: 19 · 2016: 6 · 2015: 3
- FWCI
- 6.80
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physical Review Letters (publishedVersion, cc-by)
- PubMed (publishedVersion)
- University of Groningen research database (University of Groningen / Centre for Information Technology) (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion, cc-by-nc-sa)
- University of Groningen research database (University of Groningen / Centre for Information Technology) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Tata Institute of Fundamental Research
- National Science Foundation (PHYS-1066293)
- Simons Foundation
- Royal Netherlands Academy of Arts and Sciences
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Keywords
- eternal black holes, AdS/CFT correspondence, local operators, black hole interior, black hole information paradox, gauge-invariant observables, effective field theory, black hole complementarity
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