A very simple empirical neutrino mass formula

Abstract

A very simple empirical neutrino mass formula is found, implying the mass proportion $m_1:m_2:m_3=1:4:24(1-{\beta }^2)$. For the value $\beta =(5-1)(5-3)/5^2=8/25$ the formula predicts precisely $\Delta m_{21}^2\sim 8.0\times 10^{-5}{\mathrm{eV}}^2$ in consistency with the experiment, when the input of experimental estimate $\Delta m_{32}^2\sim 2.4\times 10^{-3}{\mathrm{eV}}^2$ is applied. Plausible interpretation of numerical elements building up this formula is briefly described.