Electron, muon, proton, and strong gravity

Abstract

Regarding the strong interaction as a manifestation of a strong gravity, the electron and the proton are identified as black holes in the strong gravitational field. The mass and classical radius of the electron are predicted to be $\frac{1}{2}\ensuremath{\alpha}{m}_{\ensuremath{\pi}}=0.51$ MeV and ${r}_{e}=\frac{2{e}^{2}}{2{m}_{p}{c}^{2}}=0.74$ cm, respectively. It is shown that the electron can be strongly interacting at energies above 240 GeV. The strong gravitational constant is predicted to be 3.9\ifmmode\times\else\texttimes\fi{} ${10}^{31}$ dyn ${\mathrm{cm}}^{2}$ ${\mathrm{g}}^{\ensuremath{-}2}$. The neutron-proton mass difference is partly explained. A neutral-pion-electron system bound by strong gravity is interpreted as the muon, and the muon-electron mass ratio is predicted to be $\frac{{m}_{\ensuremath{\mu}}}{{m}_{e}}=\frac{3}{2}(\frac{1}{\ensuremath{\alpha}})+\frac{(\frac{2}{\ensuremath{\alpha}}){m}_{e}}{{m}_{\ensuremath{\pi}}}=206.6$. It is suggested that the weak interaction might also be a manifestation of strong gravity and the intermediate-boson mass is of order 240 GeV.