Nonlinear fractal meaning of the Hubble constant

TL;DR

This paper presents a theoretical fractal model to determine the global Hubble constant without empirical constants, revealing an inverse relationship between measurement accuracy and coordinate calculation precision in cosmology.

Contribution

It introduces a nonlinear fractal approach to model the universe's expansion and derive the Hubble constant theoretically, avoiding empirical parameters.

Findings

Existence of inverse proportionality between measurement accuracy and coordinate calculation accuracy.

Theoretical derivation of the Hubble constant without empirical constants.

Demonstration of ambiguity in cosmological observations due to fractal properties.

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.