Topological Interplay between Knots and Entangled Vortex-Membranes

Su-Peng Kou

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arXiv · 1706.06879

Topological Interplay between Knots and Entangled Vortex-Membranes

Su-Peng Kou

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Abstract

In this paper, the Kelvin wave and knot dynamics are studied on three dimensional smoothly deformed entangled vortex-membranes in five dimensional space. Owing to the existence of local Lorentz invariance and diffeomorphism invariance, in continuum limit gravity becomes an emergent phenomenon on 3+1 dimensional zero-lattice (a lattice of projected zeroes): On the one hand, the deformed zero-lattice can be denoted by curved space-time for knots; on the other hand, the knots as topological defect of 3+1 dimensional zero-lattice indicates matter may curve space-time. This work would help researchers to understand the mystery in gravity.

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Su-Peng Kou. 2017-06-14. Topological Interplay between Knots and Entangled Vortex-Membranes. https://arxiv.org/abs/1706.06879

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