Wave function of the universe in the superstring theory.

Mathematics – Probability

Scientific paper

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Universe: Superstrings, Universe: Singularities, Universe: Quantum Effects

Scientific paper

Wave function of the universe in the superstring theory is discussed and using Vilenkin's boundary condition one obtains the probability density for the scale factor at a given value of the dilaton field. It is shown that when the universe spontaneously nucleates, the minimum value of the scale factor of the classical universe is of the order of Planck length, i.e. the quantum effects can prevent the universe from collapsing to a singularity.

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