  We show that the renormalizable SO(4) X U (1) X SU (2) X SU (3) Yang Mills
coupled to matter and the Higgs field fits all the experimentally observed
differential cross sections known in nature. This extended Standard Model
reproduces the experimental gravitational differential cross sections without
resorting to the graviton field and instead by exchanging SO(4) gauge fields.
By construction, each SO(4) generator in quantum gravitodynamics does not
commute with the Dirac gamma matrices. This produces additional interactions
absent to non-Abelian gauge fields in the Standard Model. The contributions
from these new terms yield differential cross sections consistent with the
Newtonian and post Newtonian interactions derived from General Relativity.
Dimensional analysis of the Lagrangian shows that all its terms have total
dimensionality four or less and therefore that all physical quantities in the
theory renormalize by finite amounts. These properties make QGD the only
renormalizable 4-dimensional theory describing gravitational interactions.
