Quintessential Transition of the Internal Manifold

Abstract

In this paper, I study the dynamics of the Kaluza-Klein internal manifold using its ``shape'' and the ``size'' as collective coordinates. The essential motivation is to be able to explain symmetry breaking in gauge theories through a transition of the internal manifold from a symmetrical metric space to a less symmetric one. We find that this may be possible depending on the values of certain group theoretical parameters. Further, this transition resembles a ``quintessential inflation'' scenario, the feasibility of which however, needs to be further studied in details.