Mass-diameter Relation of Globular Star Clusters, Elliptical Galaxies and Spherical Clusters of Galaxies

In a preceeding paper alternative reflections on gravitation were developed. There it was assumed that the primary interaction between two masses is not of attractive but of repulsive nature. The repulsive force results from the impuls transfer produced by the gravitational radiation which is emitted and absorbed by both masses. The observed attractive force between the two masses according to Newton`s law of gravitation, however, is a secondary effect and a consequence of the existence of all the masses in the universe. The mutual screening of the gravitational radiation of all masses of the universe by the two masses under consideration leads to the gravitational attraction between them. The balance between primary, repulsive and secondary, attractive forces can stabilize highly concentrated spherical mass accumulations with a linear dependence of their mass on the square of their diameter. Such objects can really be observed in the universe in the form of globular star clusters, elliptical galaxies and spherical clusters of galaxies. The scatter of the data of every group is rather large. But the collection of the objects of all three groups, reaching from the smallest globular star cluster to the largest spherical cluster of galaxies, with masses differing by almost 12 orders of magnitude, clearly shows the proposed mass-diameter relation. Subject headings: gravitation globular clusters elliptical galaxies galaxies: spherical clusters masses diameters