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arXiv · 1709.04766

Knot Physics on Entangled Vortex-Membranes: Classification, Dynamics and Effective Theory

Su-Peng Kou
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Abstract

In this paper, knot physics on entangled vortex-membranes are studied including classification, knot dynamics and effective theory. The physics objects in this paper are entangled vortex-membranes that are called composite knot-crystals. Under projection, a composite knot-crystal is reduced into coupled zero-lattices. In the continuum limit, the effective theories of coupled zero-lattices become quantum field theories. After considering the topological interplay between knots and different types of zero-lattices, gauge interactions emerge. Based on a particular composite knot-crystal with (N=4, M=3) (we call it standard knot-crystal), the derived effective model becomes the (one-flavor) Standard model. As a result, the knot physics may provide an alternative interpretation on quantum field theory.

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Su-Peng Kou. 2017-09-12. Knot Physics on Entangled Vortex-Membranes: Classification, Dynamics and Effective Theory. https://doi.org/10.1142/s021797921850090x

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