Abstract
Quantum cosmology in Kaluza-Klein-type theories is investigated by using the fundamental equation of quantum gravity: the Wheeler-DeWitt equation. The Casimir stress tensor is considered as a prime source of compactification. By imposing the Hartle-Hawking boundary condition, we demonstrate that a fine-tuning of the boundary condition in the quantum regime is necessary, presumably at a moderate level of ${10}^{\mathrm{\ensuremath{-}}3}$, in order to obtain a sufficient inflation of our space.
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