dorsal/arxiv
View SchemaHelmholtz theorem and the v-gauge in the problem of superluminal and instantaneous signals in classical electrodynamics
| Authors | Andrew Chubykalo, Augusto Espinoza, Alvarado-Flores, Alejandro Gutierrez Rodriguez |
|---|---|
| Categories | |
| ArXiv ID | physics/0503203 |
| URL | https://arxiv.org/abs/physics/0503203 |
| DOI | 10.1007/s10702-006-1847-y |
| Journal | Foundations of Physics Letters Volume 19, Number 1, pp. 37-49 February 2006 |
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.
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"abstract": "In this work we substantiate the applying of the Helmholtz vector\ndecomposition theorem (H-theorem) to vector fields in classical\nelectrodynamics. Using the H-theorem, within the framework of the two-parameter\nLorentz-like gauge (so called v-gauge), we show that two kinds of magnetic\nvector potentials exist: one of them (solenoidal) can act exclusively with the\nvelocity of light c and the other one (irrotational) with an arbitrary finite\nvelocity $v$ (including a velocity more than c . We show also that the\nirrotational component of the electric field has a physical meaning and can\npropagate exclusively instantaneously.",
"arxiv_id": "physics/0503203",
"authors": [
"Andrew Chubykalo",
"Augusto Espinoza",
"Alvarado-Flores",
"Alejandro Gutierrez Rodriguez"
],
"categories": [
"physics.gen-ph",
"physics.class-ph"
],
"doi": "10.1007/s10702-006-1847-y",
"journal_ref": "Foundations of Physics Letters Volume 19, Number 1, pp. 37-49\n February 2006",
"title": "Helmholtz theorem and the v-gauge in the problem of superluminal and instantaneous signals in classical electrodynamics",
"url": "https://arxiv.org/abs/physics/0503203"
},
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