The present work proposes a discussion on the self-energy of charged particles in the framework of nonlinear electrodynamics. We seek magnet- ically stable solutions generated by purely electric charges whose electric and magnetic fields are computed as solutions to the Born-Infeld equa- tions. The approach yields rich internal structures that can be described in terms of the physical fields with explicit analytic solutions. This suggests that the anomalous field probably originates from a magnetic excitation in the vacuum due to the presence of the very intense electric field. In addition, the magnetic contribution has been found to exert a negative pressure on the charge. This, in turn, balances the electric repulsion, in such a way that the self-interaction of the field appears as a simple and natural classical mechanism that is able to account for the stability of the electron charge.
Induced current and redefinition of electric and magnetic fields from non-compact Kaluza-Klein theory: An experimental signature of the fifth dimension
Electric/magnetic reciprocity in premetric electrodynamics with and without magnetic charge, and the complex electromagnetic field
我们扩展了公理化的方法，我们最近开发的经典电动力学，非零磁荷的情况下。然后，两个公理，即存在的洛伦兹力（公理2）和磁通量守恒（公理3）必须加以推广。电/磁相互作用构成了这项工作的指导原则。公理的扩展可以在预度量阶段实现，即，当时空的度量和连接不起作用的时候。形式为$(E\pm i {\cal H},{\cal D}\pm i B)$的复黎曼-西尔伯斯坦场在理论中有一个自然的位置，与由任何特定度量定义的霍奇对偶映射无关。
