Space for Both No-Boundary and Tunneling Quantum States of the Universe

Details Space for Both No-Boundary and Tunneling Quantum States of the Universe Space for Both No-Boundary and Tunneling Quantum States of the Universe

1997-04-07

arxiv.org/abs/gr-qc/9704017v2

Phys.Rev. D56 (1997) 2065-2072

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 20 pages, no figures, blank lines removed, page break inserted

Scientific paper

10.1103/PhysRevD.56.2065

At the minisuperspace level of homogeneous models, the bare probability for a classical universe has a huge peak at small universes for the Hartle-Hawking `no-boundary' wavefunction, in contrast to the suppression at small universes for the `tunneling' wavefunction. If the probability distribution is cut off at the Planck density (say), this suggests that the former quantum state is inconsistent with our observations. For inhomogeneous models in which stochastic inflation can occur, it is known that the idea of including a volume factor in the observational probability distribution can lead to arbitrarily large universes' being likely. Here this idea is shown to be sufficient to save the Hartle-Hawking proposal even at the minisuperspace level (for suitable inflaton potentials), by giving it enough space to be consistent with observations.

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