Electron and Neutron Properties from Trefoil Knot Topology in a Cosserat Elastic Continuum
Abstract
We extend the topological particle framework of Discrete Topological Torsion Theory (DTTT), in which fundamental particles are knotted solitons in a Cosserat elastic vacuum, to derive the electromagnetic properties of the electron and neutron. Our central result is a theorem showing that fractional electric charges emerge necessarily from the torus knot parameters: for the trefoil T(2,3), the q=3 meridional winding quantises charge in units of e/3 while the isospin doublet constraint uniquely selects the lobe charges +2e/3, -e/3—precisely the quark model values, derived here without reference to quarks or QCD. The electron, classified as an unknot (nT=0), has no topologically stabilised charge radius, consistent with experimental bounds re
Fields of Study & Subjects
Quantum and Classical Electrodynamics
Advanced Mathematical Theories and Applications
Particle physics theoretical and experimental studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 13 March 2026
- Language
- EN
- Document type
- Preprint