On the physical meaning of the gauge conditions of Classical Electromagnetism : the hydrodynamics analogue viewpoint

Details On the physical meaning of the gauge conditions of Classical Electromagnetism : the hydrodynamics analogue viewpoint On the physical meaning of the gauge conditions of Classical Electromagnetism : the hydrodynamics analogue viewpoint

2005-11-05

arxiv.org/abs/physics/0511047v1

Annales de la Fondation Louis de Broglie 28, N02 (2003) 261-269

Physics

Classical Physics

Scientific paper

Based on an analogy between Fluid Mechanics and Electromagnetism, we claim that the gauge conditions of Classical Electromagnetism are not equivalent contrary to the common belief. These "gauges" are usually considered as mathematical conditions that one must specify in order to solve any electromagnetic problem. Here, the author shows that these conditions are physical constraints which can be interpreted as electromagnetic continuity equations. As a consequence, light cannot be considered as a pure transverse wave in vacuum from the point of view of the potentials. We discuss the (lack of) meaning of gauge transformations.

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