On the fine structure constant in the Machian universe

Abstract

Within the Machian model of the universe the dark energy is identified with the Machian energy of collective gravitational interactions of all particles inside the horizon. It is shown that the fine structure constant can be expressed in terms of the observed radiative, baryon and dark energy densities of the universe and the densities of various matter components are interrelated via it.

Comments: 6 pages, Some modifications in text and formulas were done, discussion and references added