Wave Dynamics in an A-Temporal Quantum-Gravity Space

摘要

A theory describing an a-temporal quantum-gravity space endowed with a granular structure and a wave structure is suggested. The quantum-gravity space emerges from a universal cosmic space, which is a primordial pre-quantum pre-space defined on the basis of two quantities: the density of cosmic space (physical quantity tied to the amount of matter present in the region under consideration) and a quantum number indicating a sort of 'rota- tion-orientation' of each point of the gravitational space. These two physical quantities are interpreted as the mass and spin of a quasi-particle here called a 'modified Planck-granule'. A quantum-gravity space described by a wave function of space is then defined. A nonlinear mathematical formalism for the wave function of quantum-gravity space is developed, which has also the merit to show the connection of the gravitational space with de Broglie- Bohm quantum potential and a 'causal interpretation' (via Hamilton-Jacobi equation). Linear vector gravitation can be seen as a realistic linear approximation of this general nonlinear a-temporal quantum-gravity theory. Finally, it is shown that quantum gravitomagnetic resonance with de Broglie's wave arises as a natural in this picture and this means that the density of cosmic space satisfying a nonlinear a-temporal quantum-gravity theory introduces inter- esting perspectives in the interpretation of subatomic particles.