Quantum dynamics of early Universe

TL;DR

This paper introduces stable quantum definitions of cosmological parameters for the early universe, demonstrating high accuracy and classical-quantum correspondence, enabling insights into pre-Big Bang quantum dynamics.

Contribution

It proposes new stable quantum definitions for cosmological parameters and validates them through fully quantum calculations, bridging classical and quantum descriptions of the early universe.

Findings

High precision agreement between classical and quantum calculations after Big Bang formation

Proposed definitions are stable and easy to use in quantum cosmology

Quantum information about the universe's early stages can be obtained before Big Bang

Abstract

In order to study quantum dynamics of the FRW-universe of closed type, definitions of velocity, Hubble function and duration of the evolved universe are introduced into cosmology. The proposed definitions are characterized by high stability of calculations and easy for use. The introduced characteristics are supported by calculations of wave function in the fully quantum (non-semiclassical) approach. We achieve high precision agreement between the classical and quantum calculations after the formation of Universe with classical spacetime (i.e. Big Bang). Such an agreement confirms efficiency of the proposed definitions, and classical-quantum correspondence allows to obtain quantum information before Big Bang, to study dynamics of evolution of universe in the first stage and later times.