Knot Physics on Entangled Vortex-Membranes: Classification, Dynamics and Effective Theory
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.
Cite
@article{arxiv.1709.04766,
title = {Knot Physics on Entangled Vortex-Membranes: Classification, Dynamics and Effective Theory},
author = {Su-Peng Kou},
journal= {arXiv preprint arXiv:1709.04766},
year = {2018}
}
Comments
85 pages, 15 figures. arXiv admin note: text overlap with arXiv:1604.07217