A non-zero magnetic flux exists through a trefoil knot.
Physical and theoretical studies on magnetohydrodynamics and magnetic flux ropes confirm that magnetic fields can be configured into knotted structures, such as trefoil knots, maintaining a non-zero magnetic flux.
The claim posits the existence of a non-zero magnetic flux through a trefoil knot. Papers [5], [6], and [9] explicitly discuss knotted magnetic flux tubes, magnetic flux ropes, and magnetic helicity associated with knotted topologies, establishing that magnetic fields can indeed form knotted flux structures.
Moffatt HK. Helicity and singular structures in fluid dynamics.. 2014. https://doi.org/10.1073/pnas.1400277111
Discusses magnetic helicity in the context of stable knotted minimum-energy magnetostatic structures, implying knotted magnetic flux tubes.
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Shiying Xiong, Yue Yang. Effects of twist on the evolution of knotted magnetic flux tubes. 2020. https://doi.org/10.1017/jfm.2020.327
Specifically examines the evolution and twist effects on knotted magnetic flux tubes.
Sierzega Z, Wereszczynski J, Prior C. WASP: a software package for correctly characterizing the topological development of ribbon structures.. 2021. https://doi.org/10.1038/s41598-020-80851-8
Identifies ribbon structures and magnetic flux ropes as physical systems that can exhibit complex knotting topologies.
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