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The usual transformations of the three-dimensional (3D) fields E and B thatare found in [1] ([1] A. Einstein, Ann. Physik \17, 891 (1905)) are alwaysconsidered to be the relativistically correct Lorentz transformations (LT) of Eand B. However, as proved in, e.g., [2] ([2] T. Ivezi\'c, Found. Phys. Lett.18, 301 (2005)), these transformations drastically differ from the LT of therelativistically correct 4D electric and magnetic fields. In this paper asimple proof of that difference will be presented and the consequences for EDMexperiments and for some quantum phase shifts experiments are briefly examined.In all such experiments the usual 3D quantities, e.g., E, B, ... are measuredand their relativistically incorrect transformations are used, but not therelativistically correct 4D geometric quantities, e.g., E^a, B^a, ... and theirLT.

Simple Proof that the Usual Transformations of the Electric and Magnetic Fields are not the Lorentz Transformations and EDM Searches