Evans-Vigier field

XX. Evans-Vigier Longitudianal B 3 1 Field and Trkalian Vector Fields... 

XX. EVANS-VIGIER LONGITUDINAL B(3) FIELD AND TRKALIAN VECTOR FIELDS... 

In this connection it should finally be mentioned that Comay [63] and Hunter [64] have discussed the field concept by Evans and Vigier on the basis of conventional electromagnetic theory where the 4-current of Eq. (22) vanishes in the vacuum. Their analysis leads to the obvious conclusion that the field vanishes in such a case. This does, however, not rule out the existence of B(3) when there is a nonzero 4-current of the type (26) introduced by de Broglie, Vigier and Evans. Thus, without a Proca-type equation (22), no steady-state magnetic spin field can exist in a rest frame K. ... 

To this list can now be added the advantages of 0(3) over U(l) electrodynamics, advantages that are described in the review by Evans in Part 2 of this three-volume set and by Evans, Jeffers, and Vigier in Part 3. In summary, by interlocking the Sachs and 0(3) theories, it becomes apparent that the advantages of 0(3) over U(l) are symptomatic of the fact that the electromagnetic field vanishes in flat spacetime (special relativity), if the irreducible representations of the Einstein group are used. 

In a long series of publications, Evans and Vigier [39] and Evans et al. [82] have suggested the existence of a non-Maxwellian longitudinal component of magnetic field. Here we want to explore a related problem the sense in which longitudinal components of magnetic field may exist within the realm of the conventional Maxwellian theory, in the extended sense of Eq. (16). 

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