  Canonical quantization of gravity in general relativity is greatly simplified
by the artificial decomposition of space and time into a 3+1 formalism. Such a
simplification may appear to come at the cost of general covariance. This
requires tangential and perpendicular infinitesimal diffeomorphisms generated
by the symmetry group under the Legendre transformation of the given action.
This gauge generator, along with the fact that Weyl curvature scalars may act
as ``intrinsic coordinates" (or a dynamical reference frame) which depend only
on the spatial metric $g_{ab}$ and the conjugate momenta $p^{cd}$, allow for an
alternative approach to canonical quantization of gravity. In this paper we
present the tensorial solution of the set of Weyl scalars in terms of canonical
phase-space variables.
