Trefoil knot and ad-hoc classification of elementary fields in the Standard Model

Details Trefoil knot and ad-hoc classification of elementary fields in the Standard Model Trefoil knot and ad-hoc classification of elementary fields in the Standard Model

1997-07-11

arxiv.org/abs/hep-th/9707116v1

Phys.Lett. B416 (1998) 369-372

Physics

High Energy Physics

High Energy Physics - Theory

uuencoded and gtar: was.tex was1.eps was2.eps. Use latex; in total 8 pages including front and 2 figure pages

Scientific paper

10.1016/S0370-2693(97)01346-4

We present an arbitrary model based on the trefoil knot to construct objects of the same spectrum as that of elementary particles. It includes `waves' and three identical sets of sources. Due to Lorentz invariance, `waves' group into 3 types of 1, 3 and 8 objects and `sources' consists of 3 identical sets of 30+2 elements, which separate into: 1 * 1 * 2 + 1 * 2 * 2 + 3 * 2 * 2 + 3 * 1 * 2 + 3 * 1 * 2 and another 1 * 1 * 2 group (which does not match classification of the Standard Model fields). On the other hand, there is no room in this construction for objects directly corresponding to Higgs-like degrees of freedom.

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