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

Abstract

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.

8 pages, slightly improved results, minor changes in the expository part, new title; to appear in "Classical and Quantum Gravity"

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