dorsal/arxiv
View SchemaAddendum to "...The Relativistic Covariance of the B-Cyclic Relations" [Found. Phys. Lett. 10 (1997) 383-391]
| Authors | Valeri V. Dvoeglazov |
|---|---|
| Categories | |
| ArXiv ID | physics/9907048 |
| URL | https://arxiv.org/abs/physics/9907048 |
| Journal | Found. Phys. Lett. 13, No. 4 (2000) 387-393 |
Abstract
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.
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"abstract": "In the previous paper we proved that the Evans-Vigier definitions of B^{(0)}\nand {\\bf B}^{(3)} may be related {\\it not} with magnetic fields but with a\n4-vector field. In the present {\\it Addendum} it is shown that the terms used\nin the {\\bf B}- Cyclic theorem proposed by M. Evans and J.-P. Vigier may have\nvarious transformation properties with respect to Lorentz transformations. The\nfact whether the {\\bf B}^{(3)} field is a part of a bi-vector (which is\nequivalent to antisymmetric second-rank tensor) or a part of a 4-vector,\ndepends on the phase factors in the definition of positive- and negative-\nfrequency solutions of the ({\\bf B}, {\\bf E}) transverse field. This is closely\nconnected to our considerations of the Bargmann-Wightman-Wigner\n(Gelfand-Tsetlin-Sokolik) Constructs and with the Ahluwalia\u0027s recent\nconsideration of the phase factor related to gravity. The physical relevance of\nproposed constructs is discussed.",
"arxiv_id": "physics/9907048",
"authors": [
"Valeri V. Dvoeglazov"
],
"categories": [
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"journal_ref": "Found. Phys. Lett. 13, No. 4 (2000) 387-393",
"title": "Addendum to \"...The Relativistic Covariance of the B-Cyclic Relations\" [Found. Phys. Lett. 10 (1997) 383-391]",
"url": "https://arxiv.org/abs/physics/9907048"
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