The model of the universe with two spaces
  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. 
Dmitri Khokhlov