The model of the universe with two spaces

TL;DR

This paper proposes a novel cosmological model with two interconnected spaces, addressing key issues like flatness and horizon problems by defining a universe where the scale factor's derivative equals the speed of light.

Contribution

It introduces a two-space universe model where the scale factor's derivative is fixed at the speed of light, providing solutions to classical cosmological problems.

Findings

Model describes universe evolution from Planck to modern times.

Avoids flatness and horizon problems of standard cosmology.

Density transitions from Planckian to current values.

Abstract

The model of the homogenous and isotropic universe with two spaces is considered. The background space is a coordinate system of reference and defines the behaviour of the universe. The other space characterizes the gravity of the matter of the universe. In the presented model, the first derivative of the scale factor of the universe with respect to time is equal to the velocity of light. The density of the matter of the universe changes from the Planckian value at the Planck time to the modern value at the modern time. The model under consideration describes the universe from the Planck time to the modern time and avoids the problems of the Friedman universe such as the flatness problem and the horizon problem.