Lepton Mass Formula
A. O. Barut · Physical Review Letters · 1979
A recently proposed mass formula for the muon is extended to $\ensuremath{\tau}$ and other heavy leptons. It is postulated that a quantized magnetic self-energy of magnitude $\frac{3}{2}{\ensuremath{\alpha}}^{\ensuremath{-}1}{n}^{4}{M}_{e}$, where $n$ is a new quantum number, be added to the rest mass of a lepton to get the next heavy lepton in the chain $e$, $\ensuremath{\mu}$, $\ensuremath{\tau},\ensuremath{\cdots}$, with $n=1$ for $\ensuremath{\mu}$, $n=2$ for $\ensuremath{\tau}$, etc. I predict ${M}_{\ensuremath{\tau}}=1786.08$ MeV, and for the next lepton ${M}_{\ensuremath{\delta}}=10293.7$ MeV.