Title: Nonlinear fractal meaning of the Hubble constant,
Abstract: According to astrophysical observations value of recession velocity in a
certain point is proportional to a distance to this point. The proportionality
coefficient is the Hubble constant measured with 5% accuracy. It is used in
many cosmological theories describing dark energy, dark matter, baryons, and
their relation with the cosmological constant introduced by Einstein.
In the present work we have determined a limit value of the global Hubble
constant (in a big distance from a point of observations) theoretically without
using any empirical constants on the base of our own fractal model used for the
description a relation between distance to an observed galaxy and coordinate of
its center. The distance has been defined as a nonlinear fractal measure with
scale of measurement corresponding to a deviation of the measure from its fixed
value (zero-gravity radius). We have suggested a model of specific anisotropic
fractal for simulation a radial Universe expansion. Our theoretical results
have shown existence of an inverse proportionality between accuracy of
determination the Hubble constant and accuracy of calculation a coordinates of
galaxies leading to ambiguity results obtained at cosmological observations.