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Lorentz Transformations of the Electric and Magnetic Fields According to Minkowski

The usual transformations (UT) of the 3-vectors E and B that are found by Einstein in 1905. are generally considered to be the Lorentz transformations (LT) of E and B. According to the UT E in one frame is ‘seen’ as E' and B' in a relatively moving frame. In Minkowski’s last paper, in 1908. in Sec. 11.6, he defined the vectors (with four components) of the electric  and magnetic  fields and discovered that, e.g.,  correctly transforms by the LT again to '. His correct LT are reinvented in, e.g., [10] ([10] T. Ivezi´c, Found. Phys. Lett. 18, 301 (2005)). In this paper we show the essential similarity between Minkowski’s relations in Sec. 11.6 and the results obtained in [10].

usual transformations and Lorentz transformations of the electric and magnetic fields

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