Inertia,relativity and cosmology

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 +c²=0,⁰ =0 where⁰ is the scalar gravitational potential due to the smoothed-out universe,⁰ is its electrostatic potential andc denotes the light velocity in vacuo.The first equation means physically that the cosmic potential⁰ 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/r_g), we can use Eq. (I) to estimate the lower limit of the range r_g 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.