This study contains the solution of the dark matter mystery of spiral
galaxies by using the space of four distance dimensions x, y, z, x', in which x' is the fourth distance dimension. The calculation
of galaxy rotation has been presented in the space of four dimensions by using
two dimensional section x, x' and three dimensional section x, y, x'. The four dimensional mass M which generates the main gravitation
field of galaxy is located at the fourth dimension at the distance x' = X' and other dimensions are zero x = 0, y = 0, z = 0. The method to calculate the speed
distribution curve of four dimensional mass VM:
the speed distribution curve VMis calculated by using the equation in which the gravitational force is
equal to the centrifugal force of rotation. The solution of this equation yields
the speed distribution component VM of the four dimensional
mass M and the value of the mass M. In the publication [1] has been presented rotational speed distributions curves of the galaxy
NGC 3198. The speed distribution curve of galactic halo in that publication
corresponds to the speed distribution curve VM of four dimensional mass M of this
study. In order to find out how well this four dimensional model functions, the
speed distribution curve VM of four dimensional mass M has been
calculated by using two
References
[1]
Van Albada, T.S., Bahcall, J.N., Begeman, K. and Sanscisi, R. (1985) Distribution of Dark Matter in the Spiral Galaxy NGC 3198. The Astrophysical Journal, 295, 305-313. https://doi.org/10.1086/163375
[2]
Rubin, V.C. (1983) The Rotation of Spiral Galaxies. Science, 220, 1339-1344. httphttps://doi.org/10.1126/science.220.4604.1339
[3]
Ostriker, J.P., Peebles, P.J.E. and Yahil, A. (1974) The Size and Mass of Galaxies, and the Mass of the Universe. The Astrophysical Journal, 193, L1-L4. httphttps://doi.org/10.1086/181617
[4]
Burrows, A. and Liebert, J. (1995) Probing Dark Matter. Nature, 373, 191-192. httphttps://doi.org/10.1038/373191a0
[5]
Moster, B.P., Somerville, R.S., Maulbetsch, C., van den Bosch, F.C., Maccio, A.V., Naab, T. and Oser, L. (2010) Constraints on the Relationship between Stellar Mass and Halo Mass at Low and High Redshifts. The Astrophysical Journal, 710. httphttps://doi.org/10.1088/0004-637X/710/2/903
[6]
Behroozi, P.S., Wechsler, R.H. and Wu, H. (2012) The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores. The Astrophysical Journal, 762. https://doi.org/10.1088/0004-637X/762/2/109
[7]
Panek, R. (2020) A Cosmic Crisis. Scientific American.
[8]
Roos, M. (2003) Introduction to Cosmology. 3rd Edition, John Wiley & Sons Ltd.