Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Nov 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.2489h&link_type=abstract
Physical Review D (Particles and Fields), Volume 32, Issue 10, 15 November 1985, pp.2489-2495
Physics
Condensed Matter
Statistical Mechanics
102
Classical Statistical Mechanics, Origin And Formation Of The Universe
Scientific paper
The usual proof of the CPT theorem does not apply to theories which include the gravitational field. Nevertheless, it is shown that CPT invariance still holds in these cases provided that, as has recently been proposed, the quantum state of the Universe is defined by a path integral over metrics that are compact without boundary. The observed asymmetry or arrow of time defined by the direction of time in which entropy increases is shown to be related to the cosmological arrow of time defined by the direction of time in which the Universe is expanding. It arises because in the proposed quantum state the Universe would have been smooth and homogeneous when it was small but irregular and inhomogeneous when it was large. The thermodynamic arrow would reverse during a contracting phase of the Universe or inside black holes. Possible observational tests of this prediction are discussed.
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