Localization of Negative Energy and the Bekenstein Bound

DAVID D. BLANCO; HORACIO CASINI

PHYSICAL REVIEW LETTERS

AMER PHYSICAL SOC

Lugar: New York; Año: 2013 vol. 111 p. 2216011 - 2216015

0031-9007

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.