# The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time

May 25, 1999

If the vacuum is passive for uniformly accelerated observers in anti-de Sitter space-time (i.e. cannot be used by them to operate a "perpetuum mobile"), they will (a) register a universal value of the Hawking-Unruh temperature, (b) discover a TCP symmetry, and (c) find that observables in complementary wedge-shaped regions are commensurable (local) in the vacuum state. These results are model independent and hold in any theory which is compatible with some weak notion of space-time localization.

open access link
Class.Quant.Grav.17:L31-L37,2000

@article{Buchholz:1999jm,
author = "Buchholz, Detlev and Florig, Martin and Summers, Stephen
J.",
title = "{Hawking-Unruh temperature and Einstein causality in
anti-de Sitter space-time}",
journal = "Class. Quant. Grav.",
volume = "17",
year = "2000",
pages = "L31-L37",
doi = "10.1088/0264-9381/17/2/102",
eprint = "hep-th/9905178",
archivePrefix = "arXiv",
primaryClass = "hep-th",
SLACcitation = "%%CITATION = HEP-TH/9905178;%%"
}

Keywords:

passivity, anti de Sitter