dorsal/arxiv
View SchemaMotion of a Relativistic Particle and the Vacuum
| Authors | Volodymyr Krasnoholovets |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9903077 |
| URL | https://arxiv.org/abs/quant-ph/9903077 |
| Journal | Physics Essays, vol. 10, no. 3, pp. 407-416 (1997) |
Abstract
A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called "inertons," should exist. The equations of the particle path in Euclidean space are derived. The motion is marked by the relations basic for quantum mechanics: $E=h\nu$ and $Mv = h/ \lambda$ (here, $\lambda$ is the amplitude of spatial oscillations of the particle along the trajectory, i.e., the interval at which the velocity of the particle is periodically altered from $v$ to 0 and then from 0 to $v$; $\nu$ is the frequency of these oscillations). Analysis is performed on the transition to wave mechanics where $\lambda$ manifests itself as the de Broglie wavelength and $\nu$ is the distinctive frequency of the "particle-wave". A prerequisite for the wave solution to be Lorentz-invariant is treated. A hypothesis for a plausible hydrodynamic description of the relativistic particle motion is covered.
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"abstract": "A vacuum medium model is advanced. The motion of a relativistic particle in\nrelation to its interaction with the medium is discussed. It is predicted that\nelementary excitations of the vacuum, called \"inertons,\" should exist. The\nequations of the particle path in Euclidean space are derived. The motion is\nmarked by the relations basic for quantum mechanics: $E=h\\nu$ and $Mv = h/\n\\lambda$ (here, $\\lambda$ is the amplitude of spatial oscillations of the\nparticle along the trajectory, i.e., the interval at which the velocity of the\nparticle is periodically altered from $v$ to 0 and then from 0 to $v$; $\\nu$ is\nthe frequency of these oscillations). Analysis is performed on the transition\nto wave mechanics where $\\lambda$ manifests itself as the de Broglie wavelength\nand $\\nu$ is the distinctive frequency of the \"particle-wave\". A prerequisite\nfor the wave solution to be Lorentz-invariant is treated. A hypothesis for a\nplausible hydrodynamic description of the relativistic particle motion is\ncovered.",
"arxiv_id": "quant-ph/9903077",
"authors": [
"Volodymyr Krasnoholovets"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"journal_ref": "Physics Essays, vol. 10, no. 3, pp. 407-416 (1997)",
"title": "Motion of a Relativistic Particle and the Vacuum",
"url": "https://arxiv.org/abs/quant-ph/9903077"
},
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