  The understanding of the universe is confused by the unknown nature of about
95% of its matter, required to confine the motions of space objects in cosmic
structures. The idea of this paper is that the self-similar transformations of
one postulated basic matter create the fundamental dynamic fractal elements of
the universe. The elements are described with equation of unifying interaction
drawn into their fundamental framework. The equation transforms into the
inverse square laws, the principle of uncertainty, Maxwell equations of
electromagnetic field and into MOND like expression after modification of its
parameters at the scales where these laws and principle are found to hold. The
introduced equation is also confirmed with calculations based on the orbital
data for bodies that move around the nucleus of the Milky Way Galaxy, the
centers of the Earth and the Sun and orbit the huge 87 Sylvia asteroid. The
puzzling constant sunward force that acts on the Pioneer 10 and 11 spacecraft,
the flat rotational curves of stars far from the galactic nuclei, the nature of
dark matter and the enigmatic cosmic repulsion are explained in terms of
contracting and expanding 3D-spirally-faster-inward-oscillating vortexes of
basic matter, called dynamic fractals. The latter create new fundamental
framework, which allows qualitative and quantitative modeling by fitting of the
parameters of the equation of unifying interaction to experimental data. The
calculations based on the proposed dynamic fractal framework are in agreement
with the considered orbital data. Many testable predictions are made and
natural hazard precursors are suggested.

Space Physics;General Physics