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VOLUME 55 (1992) | ISSUE 10 | PAGE 541
Quantum birth of a universe near a cosmological singularity
The example of the homogeneous Bianchi IX model filled with a scalar field is used to show that universes are born in the course of a quantum evolution from the vacuum state. In the limit in which this scalar field has a small energy density, e-> 0, the spectral number density of universes has a Planckian shape.