Electron and Neutron Properties from Trefoil Knot Topology in a Cosserat Elastic Continuum

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Authors: Aaditya Bhatt
Cited by: 0

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