Geometric entropy, area, and strong subadditivity

Details Geometric entropy, area, and strong subadditivity Geometric entropy, area, and strong subadditivity

2003-12-19

arxiv.org/abs/hep-th/0312238v3

Class.Quant.Grav. 21 (2004) 2351-2378

Physics

High Energy Physics

High Energy Physics - Theory

Published version

Scientific paper

10.1088/0264-9381/21/9/011

The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a density matrix with non zero entropy. This geometric entropy is believed to be deeply related to the entropy of black holes. Indeed, previous calculations in the context of quantum field theory, where the result is actually ultraviolet divergent, have shown that the geometric entropy is proportional to the area for a very special type of subsets. In this work we show that the area law follows in general from simple considerations based on quantum mechanics and relativity. An essential ingredient of our approach is the strong subadditive property of the quantum mechanical entropy.

Affiliated with

Also associated with

No associations

Rating

Geometric entropy, area, and strong subadditivity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric entropy, area, and strong subadditivity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric entropy, area, and strong subadditivity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198785