Anthropic Distribution for Cosmological Constant and Primordial Density Perturbations

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  • 21 July 2004
Abstract
The anthropic principle has been proposed as an explanation for the observed value of the cosmological constant. Here we revisit this proposal by extending previous analyses to allow for variation between universes in the amplitude of the scale-invariant primordial cosmological density perturbations. We consider two a priori probability distributions for this amplitude, one which is uniform in the amplitude, and another which is obtained from a toy inflationary model in which the parameter of the inflaton potential is smoothly distributed over possible universes. We find that for such probability distributions, the likelihood that we live in a typical, anthropically-allowed universe is quite small.

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