Evolutionary quantization and matter-antimatter distribution in accelerated expanding of Universe

In this paper we consider ultimate generalization of classical/quantum mechanics that directly follows from the causality principle and topology of a system’s state space. Interestingly that in generalized mechanics, the Hamiltonian/Schrodinger equations remain the same, but the Hamiltonian may depend on the action and its canonically conjugated variables as additional dynamical variables. This extension of quantum mechanics indicates that the quantization of matter could be an evolutionary process, and in the distant future, even massive bodies may become entirely quantum objects without well-defined trajectories and shapes. In the classical limit, the first approximation of the Hamiltonian with respect to the action explains the accelerated expansion of the Universe, Hubble’s law, formation of spiral galaxies with a non-Kepler curve of rotation velocity, and observed asymmetry between distributions of matter and antimatter. This theory predicts that our open universe could have extended pre-history and be preceded by a long set of closed precursor universes.