The point of view of CCC is to agree that when radii of curvature approach the Planck scale, the madness of quantum gravity (whatever it is) must indeed begin to take over, but the curvature in question must be Weyl cuvature, as described by the conformal curvature tensor C. Accordingly, the radii of curvature involved in the Einstein tensor E can become as small as they like, and the space-time geometry will still remain essentially classical and smooth so long as the Weyl cuvature radii are large on the Planck scale
