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Density parameter and the anthropic principle

1998/03/31 by Jaume Garriga, Takahiro Tanaka, Alexander Vilenkin · 4 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Solar and Space Plasma Dynamics #Space Science and Extraterrestrial Life #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.60.023501

published as Phys.Rev. D60 (1999) 023501 · Revised version, to be published in Phys. Rev. D

arxiv created 1999/05/05 · openalex publication_date 1999/05/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the context of open inflation, we calculate the probability distribution for the density parameter \ensuremathΩ. A large class of two field models of open inflation do not lead to infinite open universes, but to an ensemble of inflating islands of finite size, or ``quasi-open'' universes, where the density parameter takes a range of values. Assuming we are typical observers, the models make definite predictions for the value \ensuremathΩ we are most likely to observe. When compared with observations, these predictions can be used to constrain the parameters of the models. We also argue that observers should not be surprised to find themselves living at the time when curvature is about to dominate.

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