The hierarchy of the preferred scales in the fractal universe

The fractal structure with a power index of 2 is considered within the framework of the universe with the linear law of evolution. The fractal structure arises due to the linear evolution of the scale of mass. Potential fluctuations connect two scales and thus define the preferred scales. The hierarchy of the preferred scales is developed which includes universe, superclusters, clusters of galaxies, galaxies, star clusters and stars.