Time Evolution of Particle in Quantized Gravitational Field

Through this article, an attempt has been made to propose a heuristic method to determine wave evolution in a quantized gravitational field. In this paper, propagation of particles in a quantized gravitational field is studied. Instead of quantizing the gravitational field into superposition of plane wave solutions, here at a certain point in spacetime, the all-possible values of the field due uncertainty of the gravitational field at that point due to uncertainty in momentum and position of the particle curving spacetime is assigned a probability using the derived rules in the paper. The interaction between other fields and the gravitational field is determined by superimposing all possible solutions what the field would be like in every possible geometry of the curved spacetime with uncertainty of the gravitational field at that point due to uncertainty in momentum and position of the particle curving spacetime.