SCALE-INVARIANT AND WAVE NATURE OF THE HUBBLE PARAMETER
DOI:
https://doi.org/10.31489/2021No2/81-89Keywords:
Hubble parameter, gravitational waves, fractal dimension, expansion of the universe.Abstract
The value of the global Hubble parameter corresponding to astrophysical observations was determined theoretically without using ʌСDM models. A nonlinear fractal model of the connection between the distance to the observed galaxy and its coordinate is proposed. Distance is defined as a fractal measure, the measurement scale of which, in contrast to the known fractal models, corresponds to the deviation of the desired measure itself from its fixed value (radius of zero gravity), relative to which the scale invariance is assumed. We used the dimension of our proposed specific anisotropic fractal, which simulates the increase in the distance to the observation point. It is shown that this dimension is also the maximum dimension of the strange attractor of the phase portrait of the equation of gravitational waves and sets of galaxies from different catalogs.
References
"1 Riess A. G. et al. A 2.4% determination of the local value of the Hubble constant. The Astrophysical Journal. 2016, Vol. 826, No. 1, pp. 56-61.
Ade P. A. R. et al. Planck 2013 results. XVI. Cosmological parameters. Astronomy & Astrophysics. 2014, Vol. 571, pp. A16.
Kuo C. Y. et al. The megamaser cosmology project. V. An angular-diameter distance to NGC 6264 at 140 Mpc. The Astrophysical Journal. 2013, Vol. 767, No. 2, pp. 155-159.
Nojiri S. I., Odintsov S. D. Introduction to modified gravity and gravitational alternative for dark energy. International Journal of Geometric Methods in Modern Physics. 2007, Vol. 4, No. 01, pp. 115-145.
Maeder A. An alternative to the ΛCDM model: the case of scale invariance. The Astrophysical Journal. 2017, Vol. 834(2), pp. 194-200.
Maeder A. Scale-invariant Cosmology and CMB Temperatures as a Function of Redshifts. The Astrophysical Journal. 2017, Vol. 847, No.1, pp. 65-69.
Maeder A., Gueorguiev V. G. Scale-invariant dynamics of galaxies, MOND, dark matter, and the dwarf spheroidals. Monthly Notices of the Royal Astronomical Society. 2020, Vol.492, No.2, pp. 2698 – 2708.
Peebles P. J. E. The large-scale structure of the universe. Princeton university press. 1980, 440 p.
Landau L.D, Lifshitz E.M. Field theory. Elsevier Science, 2013, 218 p.
Nicolis G., Prigogine I. Exploring complexity an introduction. 1989, 107 p.
Strong M. D., Crescimanno M. Lagrange point stability for a rotating host mass binary. Physical Review D. 2020, Vol.102, No. 2, pp. 024052.
Zhanabaev Z.Zh. Fractal model of turbulence in the jet. Proceedings of the SB Acad. of Sci. USSR. Technical Science series. 1988, Vol.4, pp. 57 – 60. [in Russian].
Zhanabaev Z.Zh., et al. Electrodynamic characteristics of wire dipole antennas based on fractal curves. Journal of Engineering Science and Technology. 2019, Vol.14, No. 1, pp. 305 – 320.
Feder J. Fractals. Springer Science & Business Media, 2013, 183 p.
Chhoa J. F. An Adaptive Approach to Gibbs’ Phenomenon. Master's Thessis. 2020, 111 p.
García-Farieta J. E., Casas-Miranda R. A. Effect of observational holes in fractal analysis of galaxy survey masks. Chaos, Solitons & Fractals. 2018, Vol. 111, pp. 128-137.
Karachentsev I.D., et al. A catalog of neighboring galaxies. The Astronomical Journal. 2004, Vol. 127(4), pp. 2031.
Ahumada R., et al. The 16th data release of the Sloan Digital Sky Surveys: first release from the APOGEE-2 Southern Survey and full release of eBOSS Spectra. The Astrophysical Journal Supplement Series. 2020, Vol.249, No.1, pp. 3.
Boller T., et al. Second ROSAT all-sky survey (2RXS) source catalogue. Astronomy & Astrophysics. 2016, Vol. 588, pp. A103.
Freedman W. L., et al. Final results from the Hubble Space Telescope key project to measure the Hubble constant The Astrophysical Journal. 2001, Vol. 553, No.1, pp. 47.
Elvis M., et al. Spectral energy distributions of type 1 active galactic nuclei in the COSMOS survey. I. The XMM-COSMOS sample The Astrophysical Journal. 2012, Vol.759, No.1, pp. 6 – 13."
