Clifford Algebra as a Way to Quantum Gravity

This article puts forward a novel hypothesis for a solution to the problem of quantization of gravity. The objective of this study is to demonstrate that the geometric representation of the wave function can be considered as a characteristic of the space-time manifold. In this approach, it is shown that the Dirac theory for the hydrogen atom and the Kepler dynamics for the planetary system describe analogous phenomena in the space-time. The states of these systems possess parameters that correspond to the permitted dynamic states of the space-time, thereby maintaining information regarding the corpuscular and wave nature. The proposed approach sheds a new light on the potential resolution of the problems of quantum gravity.