Topological Interplay between Knots and Entangled Vortex-Membranes
General Physics
2017-09-11 v2
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.
Cite
@article{arxiv.1706.06879,
title = {Topological Interplay between Knots and Entangled Vortex-Membranes},
author = {Su-Peng Kou},
journal= {arXiv preprint arXiv:1706.06879},
year = {2017}
}
Comments
15 pages, 4 figures. arXiv admin note: text overlap with arXiv:1604.07217