In this letter, we analyze the classical geometric flows as a dynamical system. We obtain an action for such a dynamical system, such that its equation of motion would be the Raychaudhuri equation. As the Raychaudhuri equation is the basis of singularity theorems, and we can analyze it as equations of motion of a dynamical system, we are able to understand the quantum behavior of singularities. Thus, quantizing these geometric flows, we can demonstrate that a quantum spacetime is complete (non-singular).