  The idea of the global gravitational effect as the source of cosmological
redshift was considered by de Sitter (1916, 1917), Eddington (1923), Tolman
(1929) and Bondi (1947). Also Hubble (1929) called the discovered
distance-redshift relation as "De Sitter effect". For homogeneous matter
distribution cosmological gravitational redshift is proportional to square of
distance: z_grav ~ r^2. However for a fractal matter distribution having the
fractal dimension D=2 the global gravitational redshift is the linear function
of distance: z_grav ~ r, which gives possibility for interpretation of the
Hubble law without the space expansion. Here the field gravity fractal
cosmological model (FGF) is presented, which based on two initial principles.
The first assumption is that the Feynman's field gravity approach describes the
gravitational interaction, which delivers a natural basis for the conceptual
unity of all fundamental physical interactions within the framework of the
relativistic and quantum fields in Minkowski space. The second hypothesis is
that the spatial distribution of gravitating matter is a fractal at all scales
up to the Hubble radius. The fractal dimension of matter distribution is
assumed to be D = 2, which implies that the global gravitational redshift is
the explanation of the observed linear Hubble law. In the frame of the FGF all
three phenomena - the cosmic background radiation, the fractal large scale
structure, and the Hubble law, - could be the consequence of a unique large
scale structure evolution process of the initially homogeneous ordinary matter
without nonbaryonic matter and dark energy.
