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 ′ 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 10-3, in order to obtain a sufficient inflation of our space.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)