Mathematical Foundations of the Relativistic Theory of Quantum Gravity
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 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2002
 DOI:
 10.48550/arXiv.physics/0212033
 arXiv:
 arXiv:physics/0212033
 Bibcode:
 2002physics..12033D
 Keywords:

 Physics  General Physics
 EPrint:
 76 pages, PDF. arXiv admin note: substantial text overlap with arXiv:grqc/9910036