Helmholtz theorem and the v-gauge in the problem of superluminal and instantaneous signals in classical electrodynamics

Details Helmholtz theorem and the v-gauge in the problem of superluminal and instantaneous signals in classical electrodynamics Helmholtz theorem and the v-gauge in the problem of superluminal and instantaneous signals in classical electrodynamics

2005-03-26

arxiv.org/abs/physics/0503203v5

Foundations of Physics Letters Volume 19, Number 1, pp. 37-49 February 2006

Physics

General Physics

This variant has been accepted for publication in Found. Phys. Letters

Scientific paper

10.1007/s10702-006-1847-y

In this work we substantiate the applying of the Helmholtz vector decomposition theorem (H-theorem) to vector fields in classical electrodynamics. Using the H-theorem, within the framework of the two-parameter Lorentz-like gauge (so called v-gauge), we show that two kinds of magnetic vector potentials exist: one of them (solenoidal) can act exclusively with the velocity of light c and the other one (irrotational) with an arbitrary finite velocity $v$ (including a velocity more than c . We show also that the irrotational component of the electric field has a physical meaning and can propagate exclusively instantaneously.

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