  Starting from the action function, we have derived a theoretical background
that leads to the quantization of gravity and the deduction of a correlation
between the gravitational and the inertial masses, which depends on the kinetic
momentum of the particle. We show that the strong equivalence principle is
reaffirmed and, consequently, Einstein's equations are preserved. In fact, such
equations are deduced here directly from this new approach to Gravitation.
Moreover, we have obtained a generalized equation for the inertial forces,
which incorporates the Mach's principle into Gravitation. Also, we have deduced
the equation of Entropy; the Hamiltonian for a particle in an electromagnetic
field and the reciprocal fine structure constant directly from this new
approach. It was also possible to deduce the expression of the Casimir force
and to explain the Inflation Period and the Missing Matter, without assuming
existence of vacuum fluctuations. This new approach to Gravitation will allow
us to understand some crucial matters in Cosmology.
