The DOI matches its Crossref record; 59 of the 59 references it cites were found in a registry or an index.
Noether charge, black hole volume, and complexity
Open accessAbstract
In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we discuss how the extended thermodynamics interacts with the recent complexity = action proposal of Brown et al. (CA-duality). We, in particular, discover that their proposal for the late time rate of change of complexity has a nice decomposition in terms of thermodynamic quantities reminiscent of the Smarr relation. This decomposition strongly suggests a geometric, and via CA-duality holographic, interpretation for the thermodynamic volume of an AdS black hole. We go on to discuss the role of thermodynamics in complexity = action for a number of black hole solutions, and then point out the possibility of an alternate proposal, which we dub “complexity = volume 2.0”. In this alternate proposal the complexity would be thought of as the spacetime volume of the Wheeler-DeWitt patch. Finally, we provide evidence that, in certain cases, our proposal for complexity is consistent with the Lloyd bound whereas CA-duality is not.
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
Bekenstein, J. D. (1973) · Physical Review D · doi:10.1103/physrevd.7.2333 · Cited by 7,555
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605
Generalized second law of thermodynamics in black-hole physics
Bekenstein, J. D. (1974) · Physical Review D · doi:10.1103/physrevd.9.3292 · Cited by 2,166
Some properties of the Noether charge and a proposal for dynamical black hole entropy
Iyer, V., & Wald, R. M. (1994) · Physical Review D · doi:10.1103/physrevd.50.846 · Cited by 1,736
Enthalpy and the mechanics of AdS black holes
Kastor, D., Ray, S., & Traschen, J. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/19/195011 · Cited by 1,388
On the quantum structure of a black hole
't Hooft, G. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90418-3 · Cited by 1,311
Black holes and thermodynamics
Hawking, S. W. (1976) · Physical Review D · doi:10.1103/physrevd.13.191 · Cited by 1,307
Universal upper bound on the entropy-to-energy ratio for bounded systems
Bekenstein, J. D. (1981) · Physical Review D · doi:10.1103/physrevd.23.287 · Cited by 1,182
Ultimate physical limits to computation
Lloyd, S. (2000) · Nature · doi:10.1038/35023282 · Cited by 1,120
Cited by
Comments on holographic complexity
Carmi, D., Myers, R. C., & Rath, P. (2017) · Journal of High Energy Physics · doi:10.1007/jhep03(2017)118 · Cited by 292
On the time dependence of holographic complexity
Carmi, D., Chapman, S., Marrochio, H., Myers, R. C., & Sugishita, S. (2017) · Journal of High Energy Physics · doi:10.1007/jhep11(2017)188 · Cited by 264
Holographic complexity equals which action?
Goto, K., Marrochio, H., Myers, R. C., Queimada, L., & Yoshida, B. (2019) · Journal of High Energy Physics · doi:10.1007/jhep02(2019)160 · Cited by 121
The volume of the black hole interior at late times
Iliesiu, L. V., Mezei, M., & Sárosi, G. (2022) · Journal of High Energy Physics · doi:10.1007/jhep07(2022)073 · Cited by 96
Quantum bit threads and holographic entanglement
Agón, C. A., & Pedraza, J. F. (2022) · Journal of High Energy Physics · doi:10.1007/jhep02(2022)180 · Cited by 33
Metadata
- Authors
- Couch, J., Fischler, W., & Nguyen, P. H.
- Venue
- Journal of High Energy Physics
- Published
- 2017-03
- Volume
- 2017
- Issue
- 3
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2530555958
- Cited by
- 257
- References
- 59
- FWCI
- 17.04
- Type
- journal article
- Language
- en
- Open access
- diamond
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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