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On the theoretical possibility of the electromagnetic scalar potential wave spreading with an arbitrary velocity in vacuum

2002/04/21 by Andrew E. Chubykalo, Chubykalo, Andrew E., Vladimir Onoochin +1
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.class-ph #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0204062

12 pages; Sent to Phys. Rev. Lett. 09 Nov 01, rejected 29 Mar 02

arxiv created 2002/04/21 · arxiv updated 2009/12/01

Abstract

In this work we revisit the process of constructing wave equations for the scalar and vector potentials of an electromagnetic field, and show that a wave equation with an arbitrary velocity (including a velocity higher than the velocity of light in vacuum) for the scalar potential exists in the framework of classical electrodynamics. Some consequences of this fact are considered. It is shown (in the Appendix) at what point this work differs from works concerned of the problem of the gauge invariance in the classical electrodynamics.

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