电磁学的隐藏几何学
The hidden geometry of electromagnetism
摘要：
当引入粒子时，几乎所有的场论都有奇点。这在经典物理和量子物理中都是正确的。经典场的奇异性导致了臭名昭著的自作用力问题，在这个问题中，当粒子与它自己的（自）场相互作用时，粒子的动力学是如何变化的是未知的。自作用力是引力现象中一个紧迫的问题和活跃的研究课题，也是经典电磁学中争论的一个来源。在这项工作中，我们研究了一个隐藏的几何结构所表现出的电磁场线，有可能消除所有的奇异性从经典电动力学。我们探索的初步结果对治疗自我和外部领域的一致的方式。
英文摘要：
Nearly all field theories suffer from singularities when particles are introduced. This is true in both classical and quantum physics. Classical field singularities result in the notorious self-force problem, where it is unknown how the dynamics of a particle change when the particle interacts with its own (self) field. Self-force is a pressing issue and an active research topic in gravitational phenomena, as well as a source of controversies in classical electromagnetism. In this work, we study a hidden geometrical structure manifested by the electromagnetic field-lines that has the potential of eliminating all singularities from classical electrodynamics. We explore preliminary results towards a consistent way of treating both self- and external fields.
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