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Comment on "Action at a distance as a full-value solution of Maxwell equations : the basis and application of the separated-potentials method"

Chubykalo and Smirnov-Rueda (Phys. Rev. E 53, 5373 (1996) ; 55, 3793(E) (1997)), introduced the electrodynamics dualism concept with the simultaneous coexistence of instantaneous and short range interactions. They argued the incompleteness of the existing set of solutions of Maxwell equations and thus of the inadequacy of Lienard-Wiechert potentials to describe the whole electromagnetic field. In contrast we have shown that the usual Lienard-Wiechert potentials to describe the whole electromagnetic field. In contrast we have shown that the usual Lienard-Wiechert retarded time solution is a full-value solution and complete solution of Maxwell equations. Using Villecco's recent work (Phys. Rev. E 48, 4008 (1993)) we have additionally justified our results concluding that there is always one comnplete solution that can be presented in different but equivalent forms: retarded-time representations, advanced-time representations, the linear combination of retarded- and advanced-time solutions, or as an action at a distance, i.e., the present-time formulation.

full-value solution ; separated-potentials method ; Maxwell equations

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