Clifford Algebra as a Way to Quantum Gravity
DOI:
https://doi.org/10.15407/ujpe70.6.361Keywords:
Clifford algebra, wave function, test particle, space-time manifoldAbstract
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.
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