Knots and the Maxwell Equations

Ion V. Vancea

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arXiv · 1911.04486

Knots and the Maxwell Equations

Ion V. Vancea

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Abstract

In this chapter, we review the Rañada field line solutions of Maxwell's equations in the vacuum, which describe a topologically non-trivial electromagnetic field, as well as their relation with the knot theory. Also, we present a generalization of these solutions to the non-linear electrodynamics recently published in the literature.

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physics.class-ph gr-qc hep-th math-ph math.MP

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Ion V. Vancea. 2020-04-14. Knots and the Maxwell Equations. https://arxiv.org/abs/1911.04486

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