  In the previous paper we proved that the Evans-Vigier definitions of B^{(0)}
and {\bf B}^{(3)} may be related {\it not} with magnetic fields but with a
4-vector field. In the present {\it Addendum} it is shown that the terms used
in the {\bf B}- Cyclic theorem proposed by M. Evans and J.-P. Vigier may have
various transformation properties with respect to Lorentz transformations. The
fact whether the {\bf B}^{(3)} field is a part of a bi-vector (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 ({\bf B}, {\bf E}) transverse field. This is closely
connected to our considerations of the Bargmann-Wightman-Wigner
(Gelfand-Tsetlin-Sokolik) Constructs and with the Ahluwalia's recent
consideration of the phase factor related to gravity. The physical relevance of
proposed constructs is discussed.
