Abstract
The transformation properties of electric and magnetic fields as a consequence of the Lorentz or conformal covariance of Maxwell’s equations is considered. The customary transformation rules for E and B are shown to actually not be necessary consequences of, but only sufficient conditions for the above covariance. Conditions are then derived under which the customary transformation rules for E and B do follow from the covariance of Maxwell’s equations. The conditions needed for the Lorentz and conformal transformations are different, but apparently are compatible.
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