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A previously developed lepton mass equation is extended to include the massive bosons and quarks of all three generations. The particles are modeled as closed, string-like, light front solitons whose key quantum numbers are their node number n and their winding number omega. The simplicity and form of the mass equation suggests that the dominant mass effect comes from how the particles embed themselves in spacetime., Comment: 8 pages, 4 figures, LaTeX JHEP style

The elementary particles are modeled as harmonic oscillator excitations of transverse U(1) gauge fields propagating at v = c, with open and closed string-like propagation paths. One, two and three node states represent the leptons, bosons, and quarks. We incorporate a twist theta for the gauge field components which rotate counterclockwise (L) for the electron, yielding a chiral model. Theta increases by pi from node to node, making the lepton models SU(2) representations. At nodes the twist may reverse, creating new particle states. For three nodes, twist combinations map the SU(3) color states of the quarks. Generations are modeled topologically by the winding number of the strings. Mapping model E fields to distant observers makes understandable how fractional charges arise for the quarks. These models are 3D slices of spacetime, allowing us to make drawings of particle field conformations. From model particle quantum numbers, new mass relationships are derived., Comment: 21 pages, 7 EPS figures, LaTeX JHEP style. Reference updated. Figs made integral with paper