  In this paper, we analyze the classical geometric flow as a dynamical system.
We obtain an action for this system, such that its equation of motion is the
Raychaudhuri equation. This action will be used to quantize this system. As the
Raychaudhuri equation is the basis for deriving the singularity theorems, we
will be able to understand the effects such a quantization will have on the
classical singularity theorems. Thus, quantizing the geometric flow, we can
demonstrate that a quantum space-time is complete (non-singular). This is
because the existence of a conjugate point is a necessary condition for the
occurrence of singularities, and we will be able to demonstrate that such
conjugate points cannot occur due to such quantum effects.
