Constraints on the Lepton Charge, Spin and Mass from Quasi-Local Energy

The masses of the elementary particles as well as their charges and spins (herein expressed in terms of the elementary charge and Planck's constant, respectively) belong to the fundamental physical constants. Presently, no fundamental theory describing them is available, so their values remain mysterious. In this work we offer an approach based on the Brown-York quasi-local energy which includes the self-energy of an object. In order to compute this energy we model the spacetime of the renormalized electron (and other leptons) by the Kerr-Newman metric. Placing conditions on the associated energies at different radii we arrive at various constraints on the mass, charge and spin.Comment: 4 pages, 1 figur