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arXiv:1309.1121hep-th

Localization of Negative Energy and the Bekenstein Bound

David D. Blanco, Horacio Casini

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Abstract

A simple argument shows that negative energy cannot be isolated far away from positive energy in a conformal field theory and strongly constrains its possible dispersal. This is also required by consistency with the Bekenstein bound written in terms of the positivity of relative entropy. We prove a new form of the Bekenstein bound based on the monotonicity of the relative entropy, involving a "free" entropy enclosed in a region which is highly insensitive to space-time entanglement, and show that it further improves the negative energy localization bound.

arXiv comments
5 pages, 1 figure
Journal reference
Phys. Rev. Lett. 111, 221601 (2013)
DOI
doi:10.1103/PhysRevLett.111.221601
Subjects
hep-thHigh Energy Physics, Theory

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  1. A singular mind: Roger Penrose on his Nobel Prize 1 comment

    • Well the argument I presented shows that at least one state has a negative energy density at any given point (I suppressed the dependence on position, T = T (x) )— but the argument does not prove that this state has lower total energy than the vacuum because there could be lots…

      zachfView on HNParent context

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