An impact of the metrics probabilistic distributions on the spatial geometry of the universe in quantum model

TL;DR

This paper explores how probabilistic distributions of the universe's scale factor influence its spatial geometry in a quantum framework, proposing a quantum mechanism for energy density fine tuning and comparing predictions with observations.

Contribution

It introduces a quantum model linking probabilistic moments to the universe's flatness and proposes a mechanism for energy density fine tuning during early evolution.

Findings

Universe is spatially flat in the quantum limit with large moments of distribution.

Quantum mechanism explains the fine tuning of energy density to critical value.

Model predictions align with observed universe properties.

Abstract

It is shown that the homogeneous and isotropic Universe is spatially flat in the limit which takes into account the moments of infinitely large orders of probabilistic distribution of a scale factor with respect to its mean value in the state with large quantum numbers. The quantum mechanism of fine tuning of the total energy density in the Universe to the critical value at the early stage of its evolution is proposed and the reason of possible small difference between these densities during the subsequent expansion is indicated. A comparison of the predictions of the quantum model with the real Universe is given.