Models for Chronology Selection

Details Models for Chronology Selection Models for Chronology Selection

1997-09-09

arxiv.org/abs/hep-th/9709066v1

Phys.Rev. D57 (1998) 2372-2380

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex

Scientific paper

10.1103/PhysRevD.57.2372

In this paper, we derive an expression for the grand canonical partition function for a fluid of hot, rotating massless scalar field particles in the Einstein universe. We consider the number of states with a given energy as one increases the angular momentum so that the fluid rotates with an increasing angular velocity. We find that at the critical value when the velocity of the particles furthest from the origin reaches the speed of light, the number of states tends to zero. We illustrate how one can also interpret this partition function as the effective action for a boosted scalar field configuration in the product of three dimensional de Sitter space and $S^1$. In this case, we consider the number of states with a fixed linear momentum around the $S^1$ as the particles are given more and more boost momentum. At the critical point when the spacetime is about to develop closed timelike curves, the number of states again tends to zero. Thus it seems that quantum mechanics naturally enforces the chronology protection conjecture by superselecting the causality violating field configurations from the quantum mechanical phase space.

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