Flavour-Changing Weak Interactions of Neutrinos and Quarks from SST

According to the Scale-Symmetric Theory (SST), there is a similarity of shapes and equality of mass ratios of the components of the three basic cores, i.e. of the core of lightest neutrinos, charged core of baryons, and the core of the Protoworld that was composed of dark matter. From the neutrino-spin rotation, we calculated the masses of the cosmological neutrinos. Two characteristic neutrino oscillations lead to Δ m 32,mean 2 =2.45× 10 −3 eV 2 and Δ m 21,mean 2 =7.42× 10 −5 eV 2 . The ν e ⇆ ν μ transitions are possible only via the tau-neutrino. We also described three neutrino oscillation anomalies that follow from Δ m 41,mean 2 =1.32× 10 −2 eV 2 , Δ m 41,mean 2 =1.36 eV 2 , and Δ m 41 2 =7.395 eV 2 . We show that the dependence of the survival probability on the electron-antineutrino energy in the KamLAND data follows from the atom-like structure of neutrons/baryons and some symmetrical associations of the neutrons. We also calculated mass and range of the dark pion, which are π dark ≈7× 10 −18 MeV and ∼181 km, respectively—such a range defines the fundamental range of the neutrinos. We also explained the reactor electron-antineutrino anomaly. The CKM matrix concerns the flavour-changing weak interactions of quarks, so we described both the PMNS neutrino-mixing matrix and the CKM quark-mixing matrix. Within SST, we also formulated a model containing both a unitarity triangle of mixing angles and a unitary SST matrix that lead to the three weak-interaction doublets of scalars, pseudoscalars and fermions. We also described the origin of the up and down quarks in nucleons.