Quantum Birth of a Hot Universe
  We consider quantum birth of a hot Universe in the framework of quantum qeometrodynamics in the minisuperspace model. The energy spectrum of the Universe in the pre-de-Sitter domain naturally explains the cosmic microwave background (CMB) anisotropy. The false vacuum where the Universe tunnels from the pre-de-Sitter domain is assumed to be of a Grand Unification Theory (GUT) scale. The probability of the birth of a hot Universe from a quantum level proves to be about $10^{-10^{14}}$. In the presence of matter with a negative pressure (quintessence) it is possible for open and flat universes to be born as well as closed ones. 
I.G. Dymnikova (Institute of Mathematics, Informatics and Physics,   University of Warmia and Mazury in Olsztyn, Olsztyn, Po...