Quantum Kaluza-Klein cosmologies (III)
Abstract
The ``ground state'' proposal for the quantum state of the universe is generalized to the case of a noncompact spacelike three-hyperboloid as the configuration space. The most probable evolution of the universe must come from a gravitational instanton by quantum tunneling. We show that under some minisuperspace ansatz, there exists only S4 × S7 gravitational instanton in d = 11 supergravity. From the point of view of quantum cosmology this fact must be related to the fact that our observed spacetime is four-dimensional.
Permanent address: China University of Science and Technology, Hefei, Anhui, China.- Publication:
-
Physics Letters B
- Pub Date:
- May 1985
- DOI:
- 10.1016/0370-2693(85)90645-8
- Bibcode:
- 1985PhLB..155..237H