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Nonpositivity of the energy density in quantized field theories
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Proofs of the generalized second law are also available for classical spacetimes and for semiclassical quasi-steady processes.
“Proofs are also available for classical spacetimes, and for semiclassical quasi-steady processes [28].”
From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [28]
Gedankenexperiments and partial proofs show that the generalized entropy, defined as the sum of horizon entropy and outside entropy, is nondecreasing with time.
“In this case there are gedankenexperiments [27] and partial proofs [28,29] which show that the generalized entropy, defined as follows, is nondecreasing with time:”
From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [28]
The generalized second law does not hold on all null surfaces.
“However, the GSL does not hold on all null surfaces [28]”
From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [28]
The GSL has only been proven in limited regimes.
“(It should be reiterated, however, that the GSL has only been proven in limited regimes [28], and that there might be other reasonable ways to formulate the GSL besides the one given in section 2.2.)”
From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [28]
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Research works printed but not linked: 3
- See:A. S. Wightman andL. G-åeding:Fields as Operator-Valued Distributions, preprint, Princeton University.
- D. Ruelle:Helv. Phys. Aeta,35, 147 (1962).
- H. J. Borchers:Fields as C∞ Functions in Space-like Directions, preprint I.H.E.S.
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Fulling, S. A., & Davies, P. C. W. (1976) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1976.0045 · Cited by 707
Does back reaction enforce the averaged null energy condition in semiclassical gravity?
Flanagan, E. E., & Wald, R. M. (1996) · Physical Review D · doi:10.1103/physrevd.54.6233 · Cited by 352
Averaged energy conditions and quantum inequalities
Ford, L. H., & Roman, T. A. (1995) · Physical Review D · doi:10.1103/physrevd.51.4277 · Cited by 284
Energy conditions in general relativity and quantum field theory
Kontou, E.-A., & Sanders, K. (2020) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab8fcf · Cited by 223
Superluminal subway: The Krasnikov tube
Everett, A. E., & Roman, T. A. (1997) · Physical Review D · doi:10.1103/physrevd.56.2100 · Cited by 117
The generalized second law implies a quantum singularity theorem
Wall, A. C. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/16/165003 · Cited by 106
Holographic proof of the quantum null energy condition
Koeller, J., & Leichenauer, S. (2016) · Physical Review D · doi:10.1103/physrevd.94.024026 · Cited by 105
Everett, A. E. (1996) · Physical Review D · doi:10.1103/physrevd.53.7365 · Cited by 105
Semiclassical energy conditions for quantum vacuum states
Martín-Moruno, P., & Visser, M. (2013) · Journal of High Energy Physics · doi:10.1007/jhep09(2013)050 · Cited by 72
Singularity theorems from weakened energy conditions
Fewster, C. J., & Galloway, G. J. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/12/125009 · Cited by 56
Energy conditions allow eternal inflation
Kontou, E.-A., & Olum, K. D. (2021) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2021/03/097 · Cited by 5
Metadata
- Authors
- Epstein, H., Glaser, V., & Jaffe, A.
- Venue
- Il Nuovo Cimento
- Published
- 1965-04
- Volume
- 36
- Issue
- 3
- Pages
- 1016-1022
- ISSN
- 0029-6341
- 1827-6121
- Cited by
- 258
- References
- 0
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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