TITLE:
Galaxy Rotation in the Space of Four Distance Dimensions
AUTHORS:
Ahti Rahikainen
KEYWORDS:
Galaxy Rotation, Dark Matter, Atom Theory
JOURNAL NAME:
World Journal of Mechanics,
Vol.10 No.7,
July
21,
2020
ABSTRACT: 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 VM is 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 pairs of rotational radius and speed values. The conclusions
and findings: the calculated distribution curve VM was a good match for the halo curve of the
publication [1]. Furthermore, four rotational
speed distribution curve VM was calculated using different values of the distance X', which yielded different values for the maximum
radius of galaxy. In this manner the different galaxy models of the publication [2] were obtained. By that means
the solution of dark matter mystery has been proved.