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The Return of the Singularities: Applications of the Smeared Null Energy Condition
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The Return of the Singularities: Applications of the Smeared Null Energy Condition
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The classic singularity theorems of General Relativity rely on energy conditions that can be violated in semiclassical gravity. Here, we provide motivation for an energy condition obeyed by semiclassical gravity: the smeared null energy condition (SNEC), a proposed bound on the weighted average of the null energy along a finite portion of a null geodesic. We then prove a semiclassical singularity theorem using SNEC as an assumption. This theorem extends the Penrose theorem to semiclassical gravity. We also apply our bound to evaporating black holes and the traversable wormhole of Maldacena-Milekhin-Popov, and comment on the relationship of our results to other proposed semiclassical singularity theorems.
Forward citations
Cited by 3 Pith papers
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A Quantum Singularity Theorem for the Evaporating Black Hole
A new singularity theorem establishes that evaporating black holes in semiclassical gravity are singular under weaker causality assumptions and the Generalized Second Law.
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Does Eternal Inflation Violate the Smeared Null Energy Condition?
In canonical single-field eternal inflation, stochastic upward fluctuations do not violate the SNEC within the semiclassical slow-roll regime due to parametrically bounded drift and a strong timescale hierarchy N_SNEC ≫ N_BR.
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Modave lectures on energy conditions in quantum field theory and semi-classical gravity
Review of classical energy conditions, their quantum violations, and information-theoretic bounds for semi-classical gravity, based on Modave lectures.
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