  The infrared structure of quantum gravity is explored by solving a lattice
version of the Wheeler-DeWitt equations. In the present paper only the case of
2+1 dimensions is considered. The nature of the wavefunction solutions is such
that a finite correlation length emerges and naturally cuts off any infrared
divergences. Properties of the lattice vacuum are consistent with the existence
of an ultraviolet fixed point in $G$ located at the origin, thus precluding the
existence of a weak coupling perturbative phase. The correlation length
exponent is determined exactly and found to be $\nu=6/11$. The results obtained
so far lend support to the claim that the Lorentzian and Euclidean formulations
belong to the same field-theoretic universality class.
