Quantum creation of a universe with nontrivial topology

Mathematics

Scientific paper

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41

Cosmology, Quantum Chromodynamics, Topology, Fermions, Singularity (Mathematics), Tunneling

Scientific paper

The quantum creation of a universe with a flat comoving 3-space is noted to be possible in nontrivial topology. The relative probability of the quantum birth of a spatially flat, isotropic world having finite 3-volume during the de Sitter (inflationary) stage is calculated, with allowance for the vacuum energy-momentum tensor of massless quantum fields that will result from the nontriviality of the topology. It is shown that an empty flat world with a 3-torus topology can begin to evolve either from a classical singularity or by quantum creation with or even without tunneling.

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