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

A. Chubykalo, A. Espinoza, Roxana Flores Quispe, A. Gutierrez Rodriguez

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)37-49
Number of pages13
JournalFoundations of Physics Letters
Volume19
Issue number1
DOIs
StatePublished - Feb 2006
Externally publishedYes

Keywords

  • Electromagnetic potentials
  • Electromagnetic waves
  • Helmholtz theorem
  • v-gauge

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