Regarding a recent published article on a recently published paper “The mass distribution in and around the Local Group” that claims to have found that there is a sheet of imaginary dark matter surrounding the local group of galaxies.
To start with is the claim in the above article that Hubble discovered the universe was expanding. In fact he never agreed with the expanding universe of the Big Bang theory. He always believed the cosmological redshift he discovered was due to light losing or decreasing frequency over distance. It was the relativists of the time who, being fanatical Einstein followers, pretended that Hubbles redshift did not refute Alberts photon model. Which it most obviously did. And to save Einsteins theories and their own reputations, which they had all bought into by 1929, they created the quasi religious pseudo science of an expanding universe to save the disgraced theories of photons and by association also the various disgraced relativity theories.
But to return to the main thrust of the above article and paper, the reason why theorists invoked dark matter was because they (Rubin, Zwicky) didn’t do the right maths when trying to calculate rotation curves for galaxies. They forgot to correctly include in their calculations the fact that although the mass distribution of galaxies decreases exponentially with radius, it is offset by an similar exponential increase in volume of the disk with any increase in radius. And calculations made in this paper, that correctly take into account the mass distribution of visible mass in the spiral disc, will always give a flat galaxy rotation curve that does match the flatter rotation curves of the observed rotation speeds of stars in the spiral disks of any galaxy. No need for any dark matter.
It’s worth pointing out here that the assumptions made in the “dark matter sheet” paper only confirms that the visible mass does correctly model any observed motions of the local group due to gravity. In that they admit in their paper that the invoked sheet of imaginary dark matter mirrors that of the existing distribution of visible matter. Now if only they could correctly calculate visible mass distributions within each disc then they wouldn’t need any dark matter at all. Inside or in a sheet echoing the local group distribution.
What’s amazing is what lengths these obviously well qualified mathematicians will go to in their papers to try to validate the erroneous assumptions of imaginary dark matter initially made by theorists early in the 20th Century.