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The so-called "Quantum Inequalities", and the "Quantum Interest Conjecture", use quantum field theory to impose significant restrictions on the temporal distribution of the energy density measured by a time-like observer, potentially preventing the existence of exotic phenomena such as "Alcubierre warp-drives" or "traversable wormholes".
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T. A. Roman and P. G. Bergmann, “Stellar Collapse Without Singularities?,” Phys. Rev. D 28
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L. H. Ford and T. A. Roman, “Moving mirrors, black holes, and cosmic censorship”, Phys. Rev. D 41
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J. Friedman, M. S. Morris, I. D. Novikov, F. Echeverria, G. Klinkhammer, K. S. Thorne and U. Yurtsever, “Cauchy Problem In Space-Times With Closed Timelike Curves,” Phys. Rev. D 42
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L. H. Ford, “Constraints on negative energy fluxes,” Phys. Rev. D 43
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L. H. Ford and T. A. Roman, “’Cosmic flashing’ in four-dimensions,” Phys. Rev. D 46
1992
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S. W. Hawking, “The Chronology Protection Conjecture,” Phys. Rev. D 46
1992
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T. A. Roman, “Inflating Lorentzian wormholes,” Phys. Rev. D 47
1993
Cited alongside, same era.
L. H. Ford and T. A. Roman, “Averaged Energy Conditions And Quantum Inequalities,” Phys. Rev. D 51
1993
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M. Alcubierre, “The warp drive: hyper-fast travel within general relativity,” Class. Quant. Grav. 11
1994
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1994
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M. Visser, “Traversable wormholes from surgically modified Schwarzschild spacetimes”, Nucl. Phys. B 328
L. H. Ford and T. A. Roman, “The quantum interest conjecture,” Phys. Rev. D 60
1999
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C. J. Fewster and E. Teo, “Quantum inequalities and ‘quantum interest’ as eigenvalue problems,” Phys. Rev. D 61
2000
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C. Barcelo and M. Visser, “Twilight for the energy conditions?,” Int. J. Mod. Phys. D 11
2002
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L. H. Ford, A. D. Helfer and T. A. Roman, “Spatially averaged quantum inequalities do not exist in four-dimensional spacetime,” Phys. Rev. D 66
2002
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L. H. Ford, M. J. Pfenning and T. A. Roman, “Quantum inequalities and singular negative energy densities,” Phys. Rev. D 57
2002
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1995
Cited alongside, same era.
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford and G. A. Landis, “Natural wormholes as gravitational lenses,” Phys. Rev. D 51
1995
Cited alongside, same era.
M. Visser, “Scale anomalies imply violation of the averaged null energy condition,” Phys. Lett. B 349
1995
Cited alongside, same era.
L. H. Ford and T. A. Roman, “Restrictions on negative energy density in flat spacetime,” Phys. Rev. D 55
1997
Cited alongside, same era.
E. E. Flanagan, “Quantum inequalities in two dimensional Minkowski spacetime,” Phys. Rev. D 56
1997
Cited alongside, same era.
C. J. Fewster and S. P. Eveson, “Bounds on negative energy densities in flat spacetime,” Phys. Rev. D 58
1998
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T. A. Roman, “Some thoughts on energy conditions and wormholes,” arXiv:gr-qc/0409090
Cited in the paper.
2002
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E. Teo and K. F. Wong, “Quantum interest in two dimensions,” Phys. Rev. D 66
2002
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M. J. Pfenning and L. H. Ford, “The unphysical nature of “warp drive”,” Class. Quant. Grav. 14
2004
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M. Visser, S. Kar and N. Dadhich, “Traversable wormholes with arbitrarily small energy condition violations,” Phys. Rev. Lett. 90
2005
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E. E. Flanagan and R. M. Wald, “Does backreaction enforce the averaged null energy condition in semiclassical gravity?,” Phys. Rev. D 54
2007
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