Light Front Models for the Leptons, Bosons, and Quarks

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 (θ) for the gauge field components which rotate counterclockwise (L) for the electron, yielding a chiral model. Theta increases by π 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.