Canonical gravity in the parametric manifold picture

Canonical structures in the parametric picture of gravitation in general relativity are investigated. One of the fields, the scalarf, emerges as a secondary entity that interacts with a system consisting of the threemetricg and the connection form. We are employing the (g,) system for developing a canonical approach. While a naïve attempt would appear to founder, we do find an extension of the phase-space of the system which is computationally viable.