Cosmic Initial Conditions for a Habitable Universe

Abstract

Within the framework of an eternal inflationary scenario, a natural question regarding the production of eternal bubbles is the essential condition requires to have a universe capable of generating life. In either an open or a closed universe, we find an anthropic lower bound on the amount of e-folding in the order of $60$ for the inflationary epoch, which results in the formation of large-scale structures in both linear and non-linear regimes. We extend the question of the initial condition of the universe to the sufficient condition in which we have enough initial dark matter and baryonic matter asymmetry in the early universe for the formation of galactic halos, stars, planets and consequently life. We show that the probability of a habitable universe is proportional to the asymmetry of dark matter and baryonic matter, while the cosmic budget of baryonic matter is limited by the astrophysical constrains.