TL;DR
This paper discusses a 3+1 dimensional dynamical model with knotted soliton solutions characterized by Hopf invariant, exploring their properties and potential applications in physical systems.
Contribution
It introduces a model supporting knotted solitons with topological Hopf charge, expanding understanding of soliton solutions in higher-dimensional field theories.
Findings
Solitons are localized near closed, possibly knotted contours.
Topological charge is given by the Hopf invariant.
Potential applications in physical systems are suggested.
Abstract
The dynamical model on 3+1 dimensional spacetime admitting soliton solutions is discussed. The proposal soliton is localized in the vicinity of a closed contour, which could be linked and/or knotted. The topological charge is Hopf invariant. Some applications in realistic physical systems are indicated.
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Taxonomy
TopicsAdvanced Fiber Optic Sensors