Abstract
Fermion mass is modeled as an analogue of Weyl curvature, which by hypothesis emerges when closed, spin-2 strings sweep out closed world tubes. Second order curvature classes result when closed world tubes circulate and themselves sweep out closed tubes etc. Gauge invariance distinguishes admissible curvature classes from the larger set that would constitute an infinite continuum of possibilities. Admissible curvature classes account for known quark masses and predict a new quark of mass 30 GeV/c2. Super-symmetric interactions among prescribed fermions and super-partners conserve electrical charge, I3, color and generation and are therefore regarded by hypothesis as preserving a minimal irreducible representation of a super-symmetric SU(5).
Highlights
The model that is proposed here replaces the parallel transport of vectors around closed curves with displacements of closed, spin-2 strings which occur when those strings sweep out closed world tubes: W
Fermion mass is attributed to an analogue of Weyl curvature which, by hypothesis, occurs when closed, spin-2 strings sweep out closed world tubes
Additional classes of massive fermions are attributed to higher orders of curvature that occur as world tubes circulate and, they themselves sweep out closed tubes etc
Summary
QLψ LlR , where QL is a generic, left-handed quark, lR is a generic right-handed anti-lepton and ψ L is a lefthanded field of spin-2 [3] This hypothesis parallels Wheeler’s ideal which attributes mass to space-time curvature [4]. In this context, one can model the additional lepto-quark composites QLψ LlR in terms of the proposed theoretical structure provided that (9) is consecutively divided by 6, 5, 4, 3 and 2. One can model the additional lepto-quark composites QLψ LlR in terms of the proposed theoretical structure provided that (9) is consecutively divided by 6, 5, 4, 3 and 2 These divisions produce the following values of W-curvature and mass:. Since the mass of the anti-lepton is relatively negligible, the mass of the newly predicted quark will be designated as approximately 30 GeV/c2
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