Knots and Particles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, 4 color eps figures and one b/w because of size limit (color version available from authors)

Scientific paper

10.1038/387058a0

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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