Professor Wheeler and the Crack of Doom: Closed Cosmologies in the 5d KaluzaKlein Theory
Abstract
The authors study the classical and the quantum structures of certain 5d KaluzaKlein cosmologies. These models were chosen because their 4d restriction is a closed, radiationdominated, homogeneous, isotropic cosmology in the usual sense. The extra (field) dimension is taken to be a circle. In these models the solution starts from a 5d curvature singularity with infinite circumference for the circle and zero volume for the 3space. It evolves in finite proper time to a solution with zero dimension for the extra field direction. In the 5vacuum case this is not a curvature singularity, but is a singularity of the congruence describing the physics, and in particular, the solution cannot causally be extended to the future of this point.
 Publication:

Between Quantum and Cosmos
 Pub Date:
 1988
 Bibcode:
 1988bqc..book..122M