Localization of Negative Energy and the Bekenstein Bound

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.

5 pages, 1 figure

References in corpus (4)

• Seeing a c-theorem with holography
• Relative Entropy and Holography
• Relative entropy and the Bekenstein bound
• Lectures on quantum energy inequalities

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