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The Smeared Null Energy Condition
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We propose a new bound on the average null energy along a finite portion of a null geodesic. We believe our bound is valid on scales small compared to the radius of curvature in any quantum field theory that is consistently coupled to gravity. If correct, our bound implies that regions of negative energy density are never strongly gravitating, and that isolated regions of negative energy are forbidden.
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How negative can null energy be in large N CFTs?
In large N conformal field theories, states built from light scalar operators or stress tensors can have negative smeared null energy, but the negative amount is bounded by a scale set by the central charge.
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