Light Front Models of the Leptons, Bosons, and Quarks

TL;DR

This paper proposes a novel light front string-inspired model for elementary particles, representing leptons, bosons, and quarks as harmonic oscillator excitations with topological and chiral features, leading to new insights into particle properties.

Contribution

It introduces a topological string-based framework with twist and winding number concepts to model particle quantum numbers and mass relationships.

Findings

Models reproduce lepton, boson, and quark states as string excitations.

Derives new mass relationships from topological quantum numbers.

Explains fractional charges of quarks through field mappings.

Abstract

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.