Gravitational Quantum Dynamics: A Geometrical Perspective

We present a gravitational quantum dynamics theory that combines field for particle in space-time with classical Einstein’s general relativity non-Riemannian Finsler space. This approach is based on the geometrization of mechanics proposed Tavernelli (Ann. Phys. 371:239, 2016) and effects into global curvature space induced by potential associated to matter fields. In order make this compatible relativity, are described framework theory, where covariant definition ‘simultaneity’ many-body systems introduced through suited foliation space-time. As gravitation finally means geodesic equation curved manifold.