Abstract
The property of potential homogeneity may conduce in hadron physics to scalings for spin-mass which are compatible with the behaviour predicted by the Regge law. Scaling of the fundamental quantities (length and time) may lead, in the gravitational case, through potential homogeneity, to scalings of some relevant observable physical quantities (mass, density, angular momentum) which, together with the imposition of covariance of the Lagragian, gives a Regge-like condition. We calculate the principal inertia moments of a three-dimensional mass distribution rotating in a self-gravitational homogeneous field with axial symmetry. We show that the angular momentum may, under certain conditions, be of the Regge-like type. These results are used to evaluate the mass and density of the universe.
