New Discretization of Gravitational Field

Branko M. Novakovic

Relativistic Alpha Field Theory, discretization of gravitation field, minimal gravitational radius, generalized wave equation .

Quantum Field Theory (QFT) cannot be applied to a gravitational field, because of non-renormalizability. Therefore, instead of quantization, discretization process of gravitational field is applied. In Relativistic Alpha Field Theory (RAFT) there exists a minimal gravitational radius.  Each mass at the minimal gravitational radius has a role as black body. Starting with de Broglie wave equation for a matter, it is transformed into the related RAFT model. The all relations are described as the functions of the dimensionless field parameters  and '. Since the field parameters  and ' can be determined in a total vacuum, electromagnetic field and gravitational field, the generalized wave equations for matter are valid in those field. Here the presented theory is applied only to gravitational field. Each of the wave equations is also described in the related discretization form.

https://doi.org/10.31871/IJNTR.6.12.7