Motivation for Majorana Neutrinos from Special Empirical Hierarchies

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       Motivation for Majorana Neutrinos from Special
Empirical Hierarchies

                                                                                                                                                                                                                   From semi-empirical analysis of known
experimental data on Standard Model particle two-component mass hierarchies a new special hierarchy motivation follows for Majorana type neutrinos.

     By SM empirical data, the number of
independent two-component mass hierarchies of the Dirac particle charged leptons and up-
and down- quarks is equal two, e.g. for charged leptons m_muon/m_electron and
m _tau/m_{muon ,} while that number for
neutrino mass hierarchies at leading approximation ∆m²_sol/∆m²_atm
= 0 is equal one. Note that at bimaximal approximation there is also
only one nontrivial neutrino mixing angle hierarchy. We suggested that the SM particle
hierarchies are of fundamental nature related to euclidean metric of 3-space via the observed Pythagorean equation, and so the origin of those different numbers
is likely determined by the elementary particle fundamental  mass types. It means neutrinos should be of Majorana nature as the other known possibility in contrast to Dirac one. 

                                                        References

[1] Emmanuel Lipmanov, Science
2.0 Blog “Neutrino hierarchies are special”.   
    

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