非线性电动力学擅长处理绳结
Nonlinear electrodynamics is skilled with knots
摘要：
这封信的目的有三个方面：第一，证明电动力学的非线性推广支持真空中各种类型的打结解。这些解是普适的，因为它们不依赖于特定的拉格朗日密度，至少在后者产生适定理论的情况下是这样。其次是描述探测波与打结背景位形之间的相互作用。我们表明，这种相互作用的定性行为可以描述在罗宾逊同余，这显然出现在因果结构的理论。最后，我们认为，具有强烈背景场的光学装置可能是自然的地方，以寻找结实验。
英文摘要：
The aims of this letter are three-fold: First is to show that nonlinear generalizations of electrodynamics support various types of knotted solutions in vacuum. The solutions are universal in the sense that they do not depend on the specific Lagrangian density, at least if the latter gives rise to a well-posed theory. Second is to describe the interaction between probe waves and knotted background configurations. We show that the qualitative behaviour of this interaction may be described in terms of Robinson congruences, which appear explicitly in the causal structure of the theory. Finally, we argue that optical arrangements endowed with intense background fields could be the natural place to look for the knots experimentally.
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