Remarks on the Classical Theory of Fields: Corrections and Supplements to the Classical Electrodynamic Part of Landau and Lifshitz's Textbook
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"The Classical Electrodynamic Part of Landau and Lifshitz's Textbook "The Classical Theory of Fields" is rigorously analyzed. The need for corrections is proved. The distinction between bound fields and radiation fields is stipulated. Apparent paradoxes, like the "hidden momentum" concept and the 4/3 factor of the Lorentz transformation of the electromagnetic fields of a charged particle are explained. Inherent contradictions of the gauge transformations are proved. In particular, it is proved that the apparent gauge ...
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"The Classical Electrodynamic Part of Landau and Lifshitz's Textbook "The Classical Theory of Fields" is rigorously analyzed. The need for corrections is proved. The distinction between bound fields and radiation fields is stipulated. Apparent paradoxes, like the "hidden momentum" concept and the 4/3 factor of the Lorentz transformation of the electromagnetic fields of a charged particle are explained. Inherent contradictions of the gauge transformations are proved. In particular, it is proved that the apparent gauge invariance of the QED Lagrangian density does not hold because of its inherent mathematical inconsistencies. This analysis clarifies the long debate concerning the meaning of the electromagnetic 4-potential and its gauge transformations. A regular magnetic monopole theory is outlined, and the systematic failure of the quest for Dirac monopoles is proved"--
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