The EM field tensor transforms according to the Lorentz transform because     we postulate that it does.     it is the antisymmetric part of the four gradient of a four vector.     its components are electric and magnetic fields.

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter5: Relativity
Section: Chapter Questions
Problem 36P: Describe the following physical occurrences as events, that is, in the form (x, y, z, t): (a) A...
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  1. The EM field tensor transforms according to the Lorentz transform because

       

    we postulate that it does.

       

    it is the antisymmetric part of the four gradient of a four vector.

       

    its components are electric and magnetic fields.

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