Quantum cosmology of superstrings

Physics

Scientific paper

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Scientific paper

We study the quantum evolution of a ten-dimensional string universe using the Wheeler-De Witt equation with the Hartle-Hawking boundary condition. We find that the universe tunnels from an R × Sn × Sm euclidean space of the size of the Planck scale to an Mn+1 × Km space where the lorentzian space Mn+1 has macroscopic dimensions, and Km is stable Ricci-flat space. We also find that the size of Km is of the order of the Planck scale only for n = 3, m = 6 or n = 6, m = 3. We also study the dynamics and the asymptotic behavior of the dilaton field and the gauge coupling constants.

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