Essay on the Non-Maxwellian Theories of Electromagnetism

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In the first part of this paper we review several formalisms which give alternative ways for describing the light. They are: the formalism `baroque' and the Majorana-Oppenheimer form of electrodynamics, the Sachs' theory of Elementary Matter, the Dirac-Fock-Podol'sky model, its development by Staruszkiewicz, the Evans-Vigier ${\bf B}^{(3)}$ field, the theory with an invariant evolution parameter of Horwitz, the analysis of the action-at-a-distance concept, presented recently by Chubykalo and Smirnov-Rueda, and the analysis of the claimed `longitudity' of the antisymmetric tensor field after quantization. The second part is devoted to the discussion of the Weinberg formalism and its recent development by Ahluwalia and myself.
ReVTeX file, 29pp., no figures

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