Making Predictions in Eternally Inflating Universe

Details Making Predictions in Eternally Inflating Universe Making Predictions in Eternally Inflating Universe

1995-05-18

arxiv.org/abs/gr-qc/9505031v1

Phys.Rev. D52 (1995) 3365-3374

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 4 figures can be faxed on request

Scientific paper

10.1103/PhysRevD.52.3365

Eternally inflating universes can contain large thermalized regions with different values of the constants of Nature and with different density fluctuation spectra. To find the probability for a `typical' observer to detect a certain set of constants, or a certain fluctuation spectrum, one needs to compare the volumes occupied by different types of regions. If the volumes are taken on an equal-time hypersurface, the results of such a comparison are extremely sensitive to the choice of the time variable t. Here, I propose a method of comparing the volumes which is rather insensitive to the choice of t. The method is then applied to evaluate the relative probability of different minima of the inflaton potential and the probability distribution for the density fluctuation spectra.

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