Correspondence-principle condition on the Reissner-Nordstroem solution for charged leptons

Current experimental evidence supports the picture of three charged leptons (e+-,μ+-,tau+-), a triplet with mass splitting that bears a resemblance to the Gell-Mann-Okubo form. To elucidate the overall mass scale, a charged lepton is viewed as a mass point that engenders a local Reissner-Nordstrom space-time geometry, and the Einstein-Maxwell action is evaluated through an invariant space-time region associated with the particle's radiation reaction interval 2e2/3m. What emerge for the electron, muon, and tau are values of the Einstein-Maxwell action in the neighborhood of |h. The mean value of the three action integrals is antiA=(140.93)e2=(1.0284)|h, and thus the apparent quantum condition antiA approximately |h sets the mass scale for the three charged leptons. (author)