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A very simple empirical neutrino mass formula

Wojciech Krolikowski
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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.

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Wojciech Krolikowski. 2005-10-27. A very simple empirical neutrino mass formula. https://arxiv.org/abs/hep-ph/0510355

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