Predicting the Proton and Neutron Masses , Based on Baryons which are Yang-Mills Magnetic Monopoles and Koide Mass Triplets (original) (raw)

We show how the Koide relationships and associated triplet mass matrices can be generalized to derive the observed sum of the free proton and neutron rest masses in terms of the up and down current quark masses and the Fermi vev to six parts in 10,000, which sum can then be solved for the separate neutron and proton masses using the neutron–proton mass difference derived by the author in an recent, separate paper. The opposite charges of the up and down quarks are responsible for the appearance of a complex phase exp(iδ) which in turn can be used to adjust these mass relationships to unlimited accuracy. For the moment, phase angle δ=1.9932858 is an empirical parameter, but it does appear to be possibly related to the CP-violating phase of weak interactions for three fermion generations. The Koide generalizations developed here enable these proton and neutron mass relationships to be given a Lagrangian formulation based on proton and neutron field strength tensors that contain consti...

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