Quantum field theory of the Universe in the Kantowski-Sachs space-time
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In this paper, the quantum field theory of the Universe in the Kantowski-Sachs space-time is studied. We apply an analogue of proceeding in quantum field theory in curved space-time to the Kantowski-Sachs space-time, and obtain the wave function of the Universe satisfied the Wheeler-De Witt equation. Regarding the wave function as a universe field in the minisuperspace, we can not only overcome the difficulty of the probabilistic interpretation in quantum cosmology, but also come to the conclusion that there is multiple production of universes. The average number of the produced universes from «nothing» is calculated. The distribution of created universes is given. We find that it is the Planckian distribution.
KeywordsPACS 98.80.Dr Theoretical cosmology
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