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Cited by 61Cosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir EffectBlack Holes and Theoretical Physics

Classical and quantum flux energy conditions for quantum vacuum states

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Martín-Moruno, Prado, Visser, Matt·2013·Physical Review D
DOI 10.1103/physrevd.88.061701
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Abstract

The classical energy conditions are known to not be fundamental physics---they are typically violated by semiclassical quantum effects. Consequently, some effort has gone into finding possible semiclassical replacements for the classical energy conditions---the most well developed being the nonlocal time-integrated Ford-Roman quantum inequalities. In the current article we shall instead develop classical and quantum versions of a local ``flux energy condition'' (FEC and QFEC) based on the notion of constraining the possible fluxes measured by timelike observers. The naive classical FEC will be seen to be satisfied in some situations, and even for some quantum vacuum states, while its quantum analogue (the QFEC) is satisfied (for naturally defined quantum vacuum states) under a rather wide range of conditions. The situation for completely general (nonvacuum) quantum states is less clear.

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  • There are signs that the weak and null energy conditions may be violated at the quantum-microscopic scale, although they seem to be satisfied at macroscopic scales.

    “Itis worth mentioning that there are signs that WEC and NECmaybeviolated at the quantum-microscopic scale [4049], although they seem to be satisfied at the macroscopic scales.”

    From Alcubierre warp drive in spherical coordinates with some matter configurations (2023) · cites this paper as [48]

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Research works printed but not linked: 3

  1. [5]M. Visser, 'Gravitational vacuum polarization. 3: Energy conditions in the (1+1) Schwarzschild space-time', Phys. Rev. D 54 (1996) 5123 [gr-qc/9604009]. · arXiv
  2. [65 (2002) 084002 [arXiv:gr-qc/0109061].](http://arxiv.org/abs/gr-qc/0109061) · arXiv
  3. [34]S. W. Hawking and G. F. R Ellis, The large scale structure of spacetime , (Cambridge University Press, England, 1972).

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Related

Authors
Martín-Moruno, P., & Visser, M.
Affiliations
Victoria University of Wellington (NZ)
ORCID
Visser, Matt
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2013-09-23
Volume
88
Issue
6
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.88.061701
OpenAlex
W2078918861
Cited by
61
References
37
Citations by year
2026: 2 · 2025: 1 · 2024: 2 · 2023: 6 · 2022: 7 · 2021: 10 · 2020: 4 · 2019: 7 · 2018: 1 · 2017: 9 · 2016: 2 · 2015: 4 · 2014: 5 · 2013: 1
FWCI
2.16
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University) (acceptedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
quantum inequalities

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