Evolutionary quantization of matter and Universe expansion

TL;DR

This paper proposes a generalized mechanics framework where matter quantization is evolutionary, explaining cosmic acceleration, galaxy formation, and universe pre-history through a modified Hamiltonian approach.

Contribution

It introduces a generalized mechanics model where the Hamiltonian depends on action variables, linking matter quantization with universe expansion and structure formation.

Findings

Explains accelerated universe expansion via generalized Hamiltonian.

Predicts matter-antimatter asymmetry and galaxy rotation curves.

Suggests a pre-history of multiple closed precursor universes.

Abstract

In this paper we consider generalization of classical and quantum mechanics that directly follows from the causality principle and topology of a system state space. 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 law, formation of spiral galaxies with a non-Kepler curve of rotation velocity, and 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.