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).

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