Relations between the scales of length, time and mass

Abstract

It is considered the model of the homogeneous and isotropic universe. The scale of length is defined via the laboratory scale of time by the motion of photon. This leads to the appearance of the inertial forces. The properties of the space and time are defined both by these inertial forces and by the matter. Within the framework of classical physics, the scales of length, time and mass are related by the special relativity constant $c$ and by the Newton gravity constant $G$. Within the framework of quantum mechanics, the scales of length, time and energy are related by the special relativity constant $c$ and by the quantum mechanics constant $\hbar$. The model meets constraints from the current age of the universe, from the high-redshift supernovae data, and from primordial nucleosynthesis. The model predicts the fractal galaxy distribution with a power index of 2.