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Knots and Particles

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arxiv hep-th/9610193 v1 pith:SXXAWOV4 submitted 1996-10-24 hep-th cond-mat.supr-conhep-phnucl-thphysics.comp-ph

L. Faddeev , Antti J. Niemi This is my paper · ORCID
classification hep-thcond-mat.supr-conhep-phnucl-thphysics.comp-ph
keywords appearsolitonsknotsstructuresactuallycomputingconfigurationscosmology
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Using methods of high performance computing, we have found indications that knotlike structures appear as stable finite energy solitons in a realistic 3+1 dimensional model. We have explicitly simulated the unknot and trefoil configurations, and our results suggest that all torus knots appear as solitons. Our observations open new theoretical possibilities in scenarios where stringlike structures appear, including physics of fundamental interactions and early universe cosmology. In nematic liquid crystals and 3He superfluids such knotted solitons might actually be observed.

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  1. Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

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