Inertia, relativity and cosmology

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Scientific paper

Starting with the idea that the inertia of bodies is a general property of all kinds of their potential energy, the author arrives at the two fundamental “megaphysical” equations (I, II)0 Π+c2=0,0 ϕ=0 where0 Π is the scalar gravitational potential due to the smoothed-out universe,0 ϕ is its electrostatic potential and c denotes the light velocity in vacuo. The first equation means physically that the cosmic potential0 Π determines uniquely the velocity of light and consequently the pseudo-Euclidean geometry in an inertial frame, in the absence of local gravitational fields. This fact implies the validity of the law of inertia in a non-empty universe only, in full agreement with Mach's principle. If we adopt, for the cosmic potential, that of Seeliger, differing from the Newtonian potential by the exponential factor exp (-r/rg), we can use Eq. (I) to estimate the lower limit of the range rg of gravitational interaction within the limits (1010 1012) light years. This suggests a steadystate model of the universe consisting of an unlimited number of finite regions (“sub-universes”) oscillating independently of each other. Such a superlarge-scale model universe is in agreement with the observed galactic red shift and yet it fulfils the perfect cosmological principle.

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