Authors: Jay R. Yablon
We require all components of the Kaluza-Klein metric tensor to be generally-covariant across all five dimensions by deconstructing the metric tensor into Dirac-type square root operators. This decouples the fifth dimension from the Kaluza-Klein scalar, makes this dimension timelike not spacelike, makes the metric tensor inverse non-singular, covariantly reveals the quantum fields of the photon, makes Kaluza-Klein fully compatible with Dirac theory, and roots this fifth dimension in the physical reality of the chiral, pseudo-scalar and pseudo-vector particles abundantly observed in particle physics based on Dirac’s gamma-5 operator, thereby “repairing” all of the most perplexing problem in Kaluza-Klein theory. Albeit with additional new dynamics expected, all the benefits of Kaluza-Klein theory are retained, insofar as providing a geometrodynamic foundation for Maxwell’s equations, the Lorentz Force motion and the Maxwell-Stress energy tensor, and insofar as supporting the viewpoint that the fifth dimension is, at bottom, the matter dimension. We find that the Kaluza-Klein scalar must be a massless, luminous field quantum to solve long-standing problems arising from a non-zero scalar field gradient. This luminous scalar is connected to the standard model Higgs field, then used to generate rest masses for fermions through spontaneous symmetry breaking, whereby all quark and lepton masses are directly reparameterized in terms of the CKM and PMNS mixing angles. A second leptonic Higgs boson is predicted along with its mass, and the masses of the three neutrinos are also predicted. Finally, we suggest multiple pathways for continued development.
Comments: 121 Pages. In this draft, all twelve fermion masses are explained as a function of other parameters.
[v1] 2018-09-05 20:34:49
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