Theory of Fermion Masses, Mixing, Lagrangian Potentials and Weak Beta Decays, based on Higgs Bosons arising from the Scalar Fields of a Kaluza Klein Theory with Five-Dimensional General Covariance Provided by Dirac's Quantum Theory of the Electron

Jay R Yablon (1)

1 Einstein Centre for Local-Realistic Physics

Why the twelve elementary fermions have the masses they have (and what the neutrino masses actually are) is one of the deepest unsolved mysteries of modern physics. We crack this puzzle using a theory of fermion masses which succeeds in reparameterizing all twelve fermion masses in terms of other known parameters to which their theoretical interconnections have not heretofore been understood. The first step is to "repair" long-recognized perplexities of Kaluza-Klein theory using Dirac's quantum theory of the electron to enforce general covariance across all five dimensions. One consequence of this is the emergence of a modified Dirac equation for fermions which naturally contains the Kaluza-Klein scalar. After establishing a connection between this Kaluza-Klein scalar and the standard model Higgs scalar, we use the latter to theoretically connect the known masses of all the quarks and charged leptons to the CKM and PMNS mixing angles and matrix components and several other parameters which have not previously been connected to these masses. Then, after using the Newton gravitational constant and the Fermi vacuum to establish a sum of neutrino masses in the exact range expected from experiments, it also becomes possible to predict the rest masses of the three flavors of neutrino. Also predicted are the existence and rest mass of a second leptonic Higgs boson, and tighter values for several other known parameters including the mass of the established Higgs boson. Uncovered as well, is a deep role for the cosmological neutrino background (CvB) and Higgs fields in triggering and facilitating weak interaction beta decay events.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique des Hautes Energies - Phénoménologie [hep-ph]; Relativité Générale et Cosmologie Quantique [gr-qc]; Physique [physics]

Jay R Yablon. Theory of Fermion Masses, Mixing, Lagrangian Potentials and Weak Beta Decays, based on Higgs Bosons arising from the Scalar Fields of a Kaluza Klein Theory with Five-Dimensional General Covariance Provided by Dirac's Quantum Theory of the Electron. 2018. ⟨hal-01961238⟩