Research PapersOpen Access

Knot physics on entangled vortex-membranes: Classification, dynamics and effective theory

Su-Peng Kou

Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, P. R. China

https://doi.org/10.1142/S021797921850090XCited by:1 (Source: Crossref)

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 to 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 (we call it a standard knot-crystal), the derived effective model becomes the Standard Model. As a result, the knot physics may provide an alternative interpretation on quantum field theory.

Keywords:

PACS: 67.25.dk, 47.32.C-, 47.37.+q

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Vol. 32, No. 08

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Received 15 October 2017

Accepted 15 November 2017

Published: 6 February 2018

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This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.

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Knot physics on entangled vortex-membranes: Classification, dynamics and effective theory

Abstract

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