Grand Unified SU(8) Gauge Theory Based on Baryons which Are Yang-Mills Magnetic Monopoles

Abstract

<p align="justify"> <span style="font-family:Verdana;font-size:12px;">Based on the thesis that baryons including protons and neutrons are Yang-Mills magnetic monopoles which the author has previously developed and which has been confirmed by over half a dozen empirically-accurate predictions, we develop a GUT that is rooted in the SU(4) subgroups for the proton/electron and neutron/neutrino which were used as the basis for these predictions. The SU(8) GUT group so-developed leads following three stages of symmetry breaking to all known phenomenology including a neutrino that behaves differently from other fermions, lepto-quark separation, replication of fermions into exactly three generations, the Cabibbo mixing of those generations, weak interactions which are left-chiral, and all four of the gravitational, strong, weak, and electromagnetic interactions. The next steps based on this development will be to calculate the masses and energies associated with the vacuum terms of the Lagrangian, to see if additional empirical confirmations can be achieved, especially for the proton and neutron and the fermion masses.</span> </p

Fermion unification model based on the intrinsic SU(8) symmetry of a generalized Dirac equation

“…Still, it is worth noting that the generalized spinor in our model has the same construction as that proposed by Yablon [31]. One cannot argue that the 4 different versions of the Dirac equation derived here are the same, simply because they deliver the same observables.…”

Fundamental Fermion Interactions via Vector Bosons of Unified SU(2)⊗SU(4) Gauge Fields

“…Thus, it differs markedly from other unification scenarios based on the SU(8) group, such as the boson-fermion balanced SU(8) unification scheme incorporating graviton and gravitinos as suggested recently by Adler [9], or the earlier SU (8) unification model including flavors [10] and being designed for chiral families [11,12], or the previous SU(8) unification theory including even supersymmetry by Leon et al [13]. Yet it is worth noting that the generalized spinor in the Marsch-Narita model is constructed similarly than that proposed recently by Yablon [14], who discussed a grand unified SU(8) gauge theory based on baryons which are Yang-Mills magnetic monopoles. In the work of Marsch and Narita [7], the SU(4) subgroup of SU (8) , −1), which is defined by the generator λ 15 of the SU(4) symmetry group, gives the fractional charge of the quarks in a natural way, and SU (4) is genuinely associated with a single lepton and three quarks.…”

“…(27) φ † 0 λ a λ b φ 0 = 0 for all pairs (a, b) = (9, 10), (11,12), (13,14), (28) where a and b may run from 9 to 13. The matrix products have a zero in the lowest right corner, and thus their expectation value vanishes.…”

“…These gluons transfer or change color charge. The gauge fields with index pairs (9, 10), (11,12), (13,14) are given the new names…”

“…Thus, we have the following definitions: 14 . The X vector gauge bosons connect leptons with quarks, and transfer or change the electric as well as color charges.…”