Quantization of the Bianchi type universe.

Mathematics – Probability

Scientific paper

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Cosmology: Bianchi Models

Scientific paper

The authors have used a square root formulation of the Wheeler-De Witt equation to quantize a minisuperspace model consisting of the Bianchi-I type universes with a radiation field source, which leads to a wavefunction of the universe with a conserved current and a positive-definite probability density. They have also explored the third quantization of the Bianchi type universe. They have estimated the average number of the produced universe from "nothing", and have given the distribution of the produced universes, which is Planck distribution.

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