A very simple empirical neutrino mass formula

Abstract

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