Lepton Mass Formula

Abstract

A recently proposed mass formula for the muon is extended to $\tau$ and other heavy leptons. It is postulated that a quantized magnetic self-energy of magnitude $\frac{3}{2}{\alpha }^{-1\mathrm{}}{n}^4{M}_e$, 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 $e$, $\mu$, $\tau ,\cdots$, with $n=1\mathrm{}$ for $\mu$, $n=2\mathrm{}$ for $\tau$, etc. I predict $M_{\tau }=1786.08\mathrm{}$ MeV, and for the next lepton $M_{\delta }=10\mathrm{}293.7$ MeV.