Abstract
In a previous paper [Found. Phys. Lett. 10, 383–391 (1997)] we proved that the Evans–Vigier definitions of B (0) and B (3) may be related not with magnetic fields but with a 4-vector field. In the present “Addendum” it is shown that the terms used in the B-cyclic theorem proposed by M. Evans and J.-P. Vigier may have various transformation properties with respect to Lorentz transformations. The fact whether theB (3) field is a part of a bivector (which is equivalent to antisymmetric second-rank tensor) or a part of a 4-vector depends on the phase factors in the definition of positive- and negative-frequency solutions of the (B, E) transverse field. This is closely connected to our considerations of the Bargmann–Wightman–Wigner (Gelfand–Tsetlin–Sokolik) constructs and with Ahluwalia's recent consideration of the phase factor related to gravity. The physical relevance of proposed constructs is discussed.
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Dvoeglazov, V.V. ADDENDUM TO “THE RELATIVISTIC COVARIANCE OF THE B-CYCLIC RELATIONS”. Found Phys Lett 13, 387–393 (2000). https://doi.org/10.1023/A:1007827829072
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DOI: https://doi.org/10.1023/A:1007827829072