Vera Rubin measured the rotational speeds of galaxies, Ref.[1] 1983, and she found that the masses
of galaxies were not enough to produce the measured speeds of rotation.
Therefore, it was inferred that there must be an unknown matter which is many times the known visible and dark matter. In
this study, the solution to the dark matter
mystery of spiral galaxies is a four-dimensional mass in the space of
four distance dimensions, coordinates:x,y,z,x', in which x' is the
fourth distance dimension. The four-dimensional mass is a black hole, and it
generates the main gravitation field of the galaxy. This mysterious black hole
is located in the fourthdimension at the distance x' = X'. The rotational speed distribution
curves of the galaxy NGC 3198 have been
presented in Ref.[2]. The
speed
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