Mathematical Foundations of the Relativistic Theory of Quantum Gravity

Author:  Fran De Aquino

Abstract:  

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 inertial masses, which depends on the kinetic momentum of the particle. We show that there is a reaffirmation of the strong equivalence principle 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 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 the Gravitation Theory. It is also possible to deduce the expression of the Casimir force and to explain the Inflation Period and the Missing Matter, without assuming the existence of vacuum fluctuations. This new approach to Gravitation will allow us to understand some crucial matters in Cosmology.