Quantum dynamics of evolution of flat universe in the first stage

TL;DR

This paper investigates the quantum dynamics of the early flat universe's evolution, introducing a new matter model that affects potential barriers and wave functions, providing insights into universe expansion mechanisms.

Contribution

It presents a novel quantum cosmological model with velocity-dependent matter density, analyzing wave functions and barrier penetrability in the universe's first evolution stage.

Findings

Potential barrier formation differs from Chaplygin gas models.

Wave functions exhibit unique features across barrier regions.

Initial conditions significantly influence barrier penetrability.

Abstract

Process of formation of the universe with its further expansion in the first evolution stage is investigated in the framework of Friedmann-Robertson-Walker metrics on the basis of quantum model, where a new type of matter is introduced, which energy density is dependent on velocity of the expansion. It is shown that such an improvement of the model forms potential barrier for the flat universe at $k=0$ (in contrast with generalized Chaplygin gas model). Peculiarities of wave function are analyzed in details, which is calculated by fully quantum (non-semiclassic) approach, for the different barrier regions and stages of evolution. Resonant influence of the initial and boundary conditions on the barrier penetrability is shown (in contrast with Vilenkin and Hawking approaches). In order to perform a comparative analysis, how much quickly the universe is expanded by different models, new quantum definitions of velocity and Hubble function are introduced. These notions allow us to study dynamics of evolution of universe in quantum cosmology both in the first stage, and in later times.