The gravitational charge 1/2 square root hc as a unifying principle in physics

It is shown in this paper that the basic quantization condition 4Gm2/c=nh, which was deduced previously from the Weyl principle of gauge invariance, as well as from the general-relativistic 2-body problem, leads to a particle with gravitational charge 1/2 square root hc. It has the following properties; (1) It is a mini-black-hole; (2) It gives a natural gravitational cut-off for otherwise divergent self-energy calculations; (3) It represents a single quantum of actiob h and hence is an ensemble of fluctuating gravitational fields in its lowest quantum state; (4) Since its Bekenstein entropy is just k, to within a factor of the order of 1, it gives a physjcal meaning to the otherwise pysterious Boltzmann constant; (5) It leads to a statistical mechanics of the interior of a macro-black-hole of mass M in the sense that it yields the quantity N=M/m as the number of distinct particles within the black hole and the quantity N2/2 as its number of excitable interior degrees of freedom; (6) It yields a simple formula for the square root of the fine-structure constant (accurate to better than 1 part in 1000) as the ratio of the number of degrees of freedom of the electromagnetic field with source to the number of degrees of freedom of the gravitational field with source; (7) It leads to a formula for the masses of leptons, mesons and baryons; (8) It permits one to express both the weak- and strong-coupling constants as small powers of the fine-structure constant