Arrow of time in a recollapsing quantum universe

Details Arrow of time in a recollapsing quantum universe Arrow of time in a recollapsing quantum universe

1994-02-21

arxiv.org/abs/gr-qc/9402036v2

Phys.Rev. D51 (1995) 4145-4153

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Many conceptual clarifications included

Scientific paper

10.1103/PhysRevD.51.4145

We show that the Wheeler-DeWitt equation with a consistent boundary condition is only compatible with an arrow of time that formally reverses in a recollapsing universe. Consistency of these opposite arrows is facilitated by quantum effects in the region of the classical turning point. Since gravitational time dilation diverges at horizons, collapsing matter must then start re-expanding ``anticausally" (controlled by the reversed arrow) before horizons or singularities can form. We also discuss the meaning of the time-asymmetric expression used in the definition of ``consistent histories". We finally emphasize that there is no mass inflation nor any information loss paradox in this scenario.

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