Stabnikov PA and Babailov SP
A composite interaction potential for a broad range of distances was proposed. It is proposed to express the interaction force as F = Mm (γ × R-2 + δ × R-1), where γ is the gravitation constant, δ = 2.7 × 10-31 m2 × kg-1 × s-2 is an additional fundamental constant. This approach allows one to keep the description of planet rotation is star systems almost unchanged, and to explain the anomalies of the motion of stars and galaxies without attracting the notions of so-called dark matter or universal acceleration. This approach is naturally built into the general physical picture of the world in which the significance of fundamental interactions changes while the size of objects changes, from elementary particles to galaxies. This picture is based on the interdependence of fundamental interactions and the size of material objects. Thus, weak and strong coupling determine the structure and properties of elementary particles and atomic nuclei. The existence of atoms, molecules, liquids and solids is due to electromagnetic coupling. Gravitational interaction promoted the formation of star systems, while the additional interaction δ promoted the formation of galaxies. It was demonstrated by means of thermodynamics that the formation of stable orbital systems with attraction forces F~Rn is possible within the range -3 ≤ n ≤ -1.
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