麦克斯韦方程组需要修正吗？- 方法说明
Do Maxwell's equations need revision? - A methodological note
摘要：
为了阐明法拉第感应定律，我们提出了对真空中麦克斯韦宏观基本方程组的修正。使用这个过程，洛伦兹力不再与麦克斯韦方程分开。洛伦兹变换被证明是有关的对流导数，这是在运动物体的电动力学。新的公式与静止物体的麦克斯韦方程组完全一致，唯一的新特点是一种新的电动势。海因里希·赫兹是第一个提出类似的运动物体电动力学理论的人，尽管其解释是基于所谓的“以太”的存在。用这种方法研究运动电路的问题，表明一种新的感应力应作用在运动通过非均匀矢量势场的电路上。这种被忽略的感应力与Aharanov-Bohm效应有关，但也可以与外部磁场作用于系统时的经典电磁场有关。技术问题，如所谓的马林诺夫电机也得到解决。
英文摘要：
We propose a modification of Maxwell's macroscopic fundamental set of equations in vacuum in order to clarify Faraday's law of induction. Using this procedure, the Lorentz force is no longer separate from Maxwell's equations. The Lorentz transformations are shown to be related to the convective derivative, which is introduced in the electrodynamics of moving bodies. The new formulation is in complete agreement with the actual set of Maxwell's equations for bodies at rest, the only novel feature is a new kind of electromotive force. Heinrich Hertz was the first to propose a similar electrodynamic theory of moving bodies, although its interpretation was based on the existence of the so called "aether". Examining the problem of a moving circuit with this procedure, it is shown that a new force of induction should act on a circuit moving through an inhomogeneous vector potential field. This overlooked induction force is related to the Aharanov-Bohm effect, but can also be related to the classical electromagnetic field when an external magnetic field is acting on the system. Technological issues, such as the so called Marinov motor are also addressed.
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