A possible explanation of Galactic Velocity Rotation Curves in terms of a Cosmological Constant

Abstract

This paper describes how the non-gravitational contribution to Galactic Velocity Rotation Curves can be explained in terms of a negative Cosmological Constant ($Λ$). It will be shown that the Cosmological Constant leads to a velocity contribution proportional to the radii, at large radii, and depending on the mass of the galaxy. This explanation contrasts with the usual interpretation that this effect is due to Dark Matter halos. The velocity rotation curve for the galaxy NGC 3198 will be analysed in detail, while several other galaxies will be studied superficially. The Cosmological Constant derived experimentally from the NGC 3198 data was found to be:$|Λ|_{Exp}= 5.0\times 10^{-56} cm^{-2}$. This compares favourably with the theoretical value obtained from the Large Number Hypothesis of: $|Λ|_{Theory}=2.1\times 10^{-56}cm^{-2}$. The Extended LNH is then used to define other cosmological parameters: gravitational modification constant, energy density, and the Cosmological Constant in terms of a fundamental length. A speculative theory for the evolution of the Universe is outlined where it is shown how the Universe can be defined, in any particular era, by two parameters: the fundamental length and the energy density of the vacuum for that epoch. The theory is applied to the time evolution of the universe where a possible explanation for the $ρ_{Planck}/ρ_Λ^{QH} \approx 10^{120}$ problem is proposed. The nature of the ''vacuum'' is reviewed along with a speculative approach for calculating the Cosmological Constant via formal M-theory.The experimentally derived results presented in this paper support a decelerating Universe, in contrast with recent indicationsfrom Type Ia Supernovae experiments, for an accelerating Universe.