Noncommutative accelerated multidimensional universe dominated by quintessence

We processed the data on radial velocities and HI line widths for 1678 flat edge-on spirals from the Revised Flat Galaxy Catalogue. We obtained the parameters of the multipole components of the large-scale velocity field of collective non-Hubble galaxy motion as well as the parameters of the generalized Tully–Fisher relation in the “HI line width—linear diameter” version. All the calculations were performed independently in the framework of three models, where the multipole decomposition of the galaxy velocity field was limited to a dipole, a quadrupole, and an octopole term. We showed that both the quadrupole and the octopole components are statistically significant. On the basis of the compiled list of peculiar velocities of 1623 galaxies we obtained estimations of cosmological parameters Ω _m and σ ₈. These estimations were obtained in both graphical form and as a constraint of the value S ₈=(Ω _m /0.3)^0.35 σ ₈=0.91±0.05.