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We prove a lower bound on the integrated null energy along achronal geodesic segments using induced gravity on a brane in AdS/CFT.
L. H. Ford and T. A. Roman, “Averaged Energy Conditions and Quantum Inequalities,” Phys. Rev
1995
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L. H. Ford and T. A. Roman, “The Quantum Interest Conjecture,” Phys. Rev
1999
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L. Randall and R. Sundrum, “A Large mass hierarchy from a small extra dimension,” Phys. Rev. Lett
1999
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L. Randall and R. Sundrum, “An Alternative to compactification,” Phys. Rev. Lett
1999
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H. L. Verlinde, “Holography and compactification,” Nucl. Phys
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S. Gao and R. M. Wald, “Theorems on Gravitational Time Delay and Related Issues,” Class. Quant. Grav
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C. Imbimbo, A. Schwimmer, S. Theisen, and S. Yankielowicz, “Diffeomorphisms and Holographic Anomalies,” Class. Quant. Grav
2000
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S. S. Gubser, “AdS / CFT and gravity,” Phys. Rev
2001
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S. de Haro, S. N. Solodukhin, and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys
2001
Cited alongside, same era.
N. Graham and K. D. Olum, “Achronal averaged null energy condition,” Phys. Rev
2007
Cited alongside, same era.
A. Schwimmer and S. Theisen, “Entanglement Entropy, Trace Anomalies and Holography,” Nucl. Phys
2008
Cited alongside, same era.
W. R. Kelly and A. C. Wall, “Holographic Proof of the Averaged Null Energy Condition,” Phys. Rev
2015
Cited alongside, same era.
2016
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R. Bousso, Z. Fisher, S. Leichenauer, and A. C. Wall, “Quantum focusing conjecture,” Phys. Rev
2016
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N. Engelhardt and S. Fischetti, “The Gravity Dual of Boundary Causality,” Class. Quant. Grav
2016
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T. Hartman, S. Kundu, and A. Tajdini, “Averaged Null Energy Condition from Causality,” JHEP
2017
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R. C. Myers, R. Pourhasan, and M. Smolkin, “On Spacetime Entanglement,” JHEP
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2016
Cited alongside, same era.
J. Koeller and S. Leichenauer, “Holographic Proof of the Quantum Null Energy Condition,” Phys. Rev
2016
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
B. Freivogel and D. Krommydas, “Wormhole Wars IV: A New Bound,” arXiv:1807.03808 [hep-th]
Cited in the paper.
C. Fewster and T. Roman, “Null energy conditions in quantum field theory,” gr-qc/0209036 . https://arxiv.org/abs/gr-qc/0209036
Cited in the paper.
A. R. Levine, “A Holographic Dual of the Quantum Inequalities,” arXiv:1605.05751 [gr-qc]
Cited in the paper.
2030
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L. H. Ford and T. A. Roman, “Restrictions on Negative Energy Density in Flat Space-Time,” Phys. Rev
2089
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