Quantum birth of the universe and initial conditions for inflation.

Computer Science

Scientific paper

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Scientific paper

Paths describing evolution of the universe in the classically forbidden region in the (a,φ) plane have been found. A tunneling occurs in such a way that the scalar-field potential v(φ) increases "on the average" along the tunneling path. This circumstance satisfies the initial conditions required for inflation of the classical universe. The probabilities for various tunneling paths of the universe are compared. The goal of this paper is to find paths in the (a,φ) plane along which the universe can tunnel in the classically forbidden region. Tunneling in the a direction is usually interpreted as a quantum birth of the universe. The author offers a solutions, which leads to an inflation in the classically allowed region. It is shown that the wave function in the classically forbidden region is localized along the most probable tunneling paths.

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