Radius-mass Scaling Laws for Celestial Bodies

In this letter we establish a connection between two-exponent radius-mass power laws for cosmic objects and previously proposed two-exponent Regge-like spin-mass relations. A new, simplest method for establishing the coordinates of Chandrasekhar and Eddington points is proposed. In previous papers [2],[3] Muradian has suggested the two-exponent Regge-like relation J = ¯ h m m p 1+1/n (1) between the observed mass m and angular momentum J of celestial bodies. In this relation ¯ h and m p stand, respectively, for the Planck constant and for the proton mass. The exponent n = 3 for star-like objects and n = 2 for multistellar ones, like galaxies and clusters of galaxies. Relation (1), besides to fit reasonably well the observational data (see Figure 1), presents two remarkable points: equating (1) to Kerr limit J Kerr = Gm 2 /c for the angular momentum of a rotating black hole, we obtain m = m p