Open universes, inflation, and the anthropic principle

Models of open inflation with a variable density parameter $Ω$ provide the most natural way to reconcile an open universe with inflation. The use of anthropic principle is essential to derive observational predictions of such models. I discuss how this principle can be used in a quantitative way to determine the most probable value of $Ω$. I also comment on recent work by Hawking and Turok on quantum creation of open universes from nothing.

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