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Do Maxwell's Equations Need Revision? A Methodological Note

机译:麦克斯韦方程需要修订吗?方法论注释

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We propose a modification of Maxwell's macroscopic fundamental set of equa-tions in vacuum in order to clarify Faraday's law of induction. Using this proce-dure, the Lorentz force is no longer separate from Maxwell's equations. The Lor-entz transformations are shown to be related to the convective derivative, which isintroduced in the electrodynamics of moving bodies. The new formulation is incomplete agreement with the actual set of Maxwell's equations for bodies at rest,the only novel feature being a new kind of electromotive force. Heinrich Hertzwas the first to propose a similar electrodynamic theory of moving bodies, al-though its interpretation was based on the existence of the so-called ether. Exam-ining the problem of a moving circuit with this procedure, it is shown that a newforce of induction should act on a circuit moving through an inhomogeneous vec-tor potential field. This overlooked induction force is related to the Aharonov-Bohm effect but can also be related to the classical electromagnetic field when anexternal magnetic field is acting on the system. Technological issues, such as theso-called Marinov motor, are also addressed.
机译:为了阐明法拉第的归纳定律,我们提出了对麦克斯韦真空方程组的宏观基本方程的修改。使用此程序,洛伦兹力不再与麦克斯韦方程组分开。 Lor-entz变换被证明与对流导数有关,对流导数被引入运动体的电动力学中。新的公式与静止物体的麦克斯韦方程组的实际设置不完全一致,唯一的新颖特征是一种新型的电动势。海因里希·赫兹(Heinrich Hertz)是第一个提出类似运动物体电动力学理论的人,尽管它的解释是基于所谓的以太的存在。用此程序检查移动电路的问题,结果表明,感应力应作用于通过不均匀矢量势场移动的电路上。当外部磁场作用在系统上时,这种被忽略的感应力与Aharonov-Bohm效应有关,但也可能与经典电磁场有关。还解决了技术问题,例如所谓的Marinov电机。

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