Abstract

The paper presents the following chapters: Chaotic inflation ― Self-reproducing inflationary universe ― Adjusting to the new paradigm: absence of cosmological constraints on the axion mass in the inflationary cosmology ― Inflation and the wave function of the universe ― Chaotic inflation versus extended inflation ― Stochastic approach to the baby universe formation ― Cosmological constant problem, universe multiplication, baby inverses and anthropic principle

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