Wavefunction of anisotropic inflationary universes with no-boundary conditions

摘要: We study the emergence of anisotropic (Bianchi IX) inflationary universes with no-boundary conditions in path integral approach to quantum gravity. In contrast previous work, we find no evidence for any limit how large anisotropies can become, although increasing shape instantons becomes significantly different from Hawking's original instanton. all cases an phase is reached, decaying away. Larger are associated a much larger imaginary part action, implying that highly branches wavefunction heavily suppressed. Interestingly, presence causes become classical more slowly than isotropic universes. derive scaling WKB classicality both numerically and analytically.