Originally Posted by DanishDynamite
Could you be a bit more specific? Which observations coupled with what theory assumptions lead us to which number?
I'm not going to be very detailed - you can find that information on the web. There are many observations. A primary one is galactic rotation curves.
In 1937 Hannes Alfven proposed that our galaxy contained a large-scale magnetic field and that charged particles moved in spiral orbits within it, owing to forces exerted by the field. He said plasma carried the electrical currents which create the magnetic field. There is now significant observational evidence that such large scale magnetic fields (and hence, electrical currents) exist in our galaxy. And that they have the geometry postulated by Alfven.
In the 1980s and early 90's, Anthony Peratt, an engineer at Los Alamos National Lab, used Aflven's model and the large particle in cell computer codes at LANL to simulate galaxies. Here is a paper by Peratt entitled "Advances in the Mathematical modelling of Astrophysical and Space Phenomena".
http://public.lanl.gov/alp/plasma/downloads/AdvancesII.annotated.pdf . See Section 3.3 which focuses on galactic rotational velocities and the results from that modeling. Also check out Section 4. He shows that electrodynamic forces can account for the observed galactic rotation curves.
And here's another article by Dr Peratt on the subject of galactic rotation dynamics:
http://www.cosmology.info/2005conference/wps/gallo_1.pdf Here's a portion of what he says in that article ... "When Plasma Physicists add known ElectroMagnetic Plasma effects into the Gravitational dynamics of Spiral Galaxies, they obtain the observed rotational dynamics of Spiral Galaxies. For scientifically published references, see the very extensive list below. Although EM Plasma Physics is well known and experimentally tested, the detailed calculations are very complex and require supercomputers that operate for months. There is no question that EM Plasma effects dominate the early formation of a Spiral Galaxy from an ionized plasma. As time progresses, matter is accreted into star formation. Then gravitational effects become stronger, as EM plasma effects become weaker as the inter-stellar plasma density decreases with time evolution. These effects are sufficiently complex that I can not describe them with simple arguments or simple mathematics. Supercomputers are necessary. ... snip ... PRIMARY REFERENCES. (1) “Physics of the Plasma Universe” by Anthony Peratt. (Springer-Verlag, 1992). ... snip ... (3) “Evolution of the Plasma Universe: I. Double Radio Galaxies, Quasars, and Extragalactic Jets”, A. L. Peratt, IEEE Trans. Plasma Sci. Vol. PS-14, N.6, pp.639-660, December 1986.(1.7M), (4) “Evolution of the Plasma Universe: II. The Formation of Systems of Galaxies”, A. L. Peratt, IEEE Trans. Plasma Sci. Vol. PS-14, N.6, pp.763-778, December 1986 (1.9M). In the above references, the evolution of galaxies from plasma inhomogeneities (which yield electric fields, currents and magnetic fields) is simulated. These calculations indicate a time evolution from Elliptical to Irregular to Spiral Galaxies."
Again, from
http://www.cosmology.info/2005conference/wps/gallo_1.pdf : "Following are the measured velocity profiles for four specific Spiral Galaxies from Ref 4, Fig 14. “Velocity Profile” means the rotational speed of the spiral galaxy as measured from the center of the spiral galaxy. The peculiarities are that the rotational speed is very low at the galactic center and rises quickly to an approximately constant rotational speed away from the center. This is completely different than expected from gravitational forces alone. For instance, in the simplest Solar System model, the planets closest to the center rotate at the very fastest speeds, and gradually decrease in speed at larger distances from the center. ... snip ... Following is a computer simulation of the velocity profile for a Spiral Galaxy from Ref 4, Fig 14 including ElectroMagnetic Plasma effects. Notice the similarity of the measured velocity profiles with the computer simulation including ElectroMagnetic Plasma effects for these Spiral Galaxies. The plasma core rotates very nearly as a solid body, while the spiral arms grow in length as they trail out along the magnetic isobars. ... snip ... The measured behavior is all very different than that obtained from gravitational effects alone, but the inclusion of ElectroMagnetic Plasma effects mimic the observed behavior. That is, the rotational speed is very low at the galactic center and rises very quickly to an approximately constant rotational speed at distances away from the center."
In short, dark matter isn't needed to explain the rotation curves of galaxies. And we've known it isn't needed for 30 years. Ordinary electromagnetic physics combined with the gravity from ordinary matter can account for the observations. Note that there are NO peer reviewed papers directly challenging the ones above. Mainstream science's approach has been to simply ignore the above. Therefore, inferring that dark matter MUST exist based on the rotational velocity observations is not good science. Never was. Never will be.