Knots on a torus: A model of the elementary particles

DOI10.3390/sym4010039zbMath1351.53110OpenAlexW1988090947MaRDI QIDQ350580

Jack S. Avrin

Publication date: 9 December 2016

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym4010039

zbMATH Keywords

interactionstorus knotstaxonomyfiber bundlesMoebius stripsparticle attributestopological quantization

Mathematics Subject Classification ID

Unified quantum theories (81V22) Applications of differential geometry to physics (53Z05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Geometric quantization (53D50)

Related Items (1)

A haptic model for the quantum phase of fermions and bosons in Hilbert space based on knot theory

Cites Work

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• Topological quantum field theory
• Noninvolutory Hopf algebras and \(3\)-manifold invariants
• TORUS KNOTS EMBODYING CURVATURE AND TORSION IN AN OTHERWISE FEATURELESS CONTINUUM
• ON THE TAXONOMY OF FLATTENED MOEBIUS STRIPS
• FLATTENED MOEBIUS STRIPS: THEIR PHYSICS, GEOMETRY AND TAXONOMY
• A VISUALIZABLE REPRESENTATION OF THE ELEMENTARY PARTICLES
• Are Mesons Elementary Particles?

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