Knot Theory &amp; Its Applications

“…Murasagi [14] Ch.7 shows that Fig.2 is a trefoil (3,2) on a torus when we choose 3 points on the ends of a cylinder that can be joined to form the torus. This brings us to the goal of this contribution which is to relate the elementary particles to knots or loops in a 6-space.…”

Section: R E T R a C T E D R E T R A C T E D R E T R A C T E D R E T mentioning

confidence: 99%

Particle Knots in Toric Modular Space

Wet¹

2014

BSMaSS

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The goal of this contribution is to relate quarks to knots or loops in a 6-space CP 3 that then ollapses into a torus in real 3-space P 3 instantaneously after the Big Bang, and massive inflation, when 3 quarks unite to form nucleons. IntroductionKedia et. al. in recent paper [10] investigate knotted structures in hydrodynamic fields such as current-guiding magnetic field lines in a plasma, or vortex lines of classical or quantum fields which arise naturally as excitations that carry helicity that is a measure of the knottedness of the field. In particular their Fig.2g is a trefoil which is our Fig.3 without the quadrupole (that will be seen in Section 2 to collapse into a point) and the color-coding.

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“…Murasagi [13] Ch.7 shows that Fig.2 is a trefoil (3,2) on a torus when we choose 3 points on the ends of a cylinder that can be joined to form the torus. This brings us to the goal of this contribution which is to relate the elementary particles to knots or loops in a 6-space.…”

Section: Introductionmentioning

confidence: 99%