Strong-coupling quantum gravity. III. Quasiclassical approximation.

The ultralocal representation of gravity is used to obtain a quasiclassical approximation for the evolution of wave functionals towards the initial singularity. The whole dynamical content of this process is encoded in the successive asymptotic scatterings of Kasner wave functions by the gravitational potential term V = gR. It is indicated how this can be used to prepare the state (density operator) of the gravitational field in the immediate neighborhood of the singularity.