In defence of the `Tunneling' wave function of the Universe

Details In defence of the `Tunneling' wave function of the Universe In defence of the `Tunneling' wave function of the Universe

1996-09-30

arxiv.org/abs/gr-qc/9609067v1

Phys.Rev. D56 (1997) 2464-2468

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.56.2464

The tunneling approach to the wave function of the universe has been recently criticized by Bousso and Hawking who claim that it predicts a catastrophic instability of de Sitter space with respect to pair production of black holes. We show that this claim is unfounded. First, we argue that different horizon size regions in de Sitter space cannot be treated as independently created, as they contend. And second, the WKB tunneling wave function is not simply the `inverse' of the Hartle-Hawking one, except in very special cases. Applied to the related problem of pair production of massive particles, we argue that the tunneling wave function leads to a small constant production rate, and not to a catastrophy as Bousso and Hawking's argument would suggest.

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