dorsal/arxiv
View SchemaOrigin of Mass. Mass and Mass-Energy Equation from Classical-Mechanics Solution
| Authors | J. X. Zheng-Johansson, P-I. Johansson |
|---|---|
| Categories | |
| ArXiv ID | physics/0501037 |
| URL | https://arxiv.org/abs/physics/0501037 |
| DOI | 10.4006/1.3028859 |
| Journal | JXZJ&PIJ, Phys Essays 19, 544 (2006);Unification of Classical, Quantum and Relativistic Mechanics and the Four Forces, Nova Sci Pub, 2006 |
Abstract
We establish the classical wave equation for a particle formed of a massless oscillatory elementary charge generally also traveling, and the resulting electromagnetic waves, of a generally Doppler-effected angular frequency $\w$, in the vacuum in three dimensions. We obtain from the solutions the total energy of the particle wave to be $\eng=\hbarc\w$, $2\pi \hbarc$ being a function expressed in wave-medium parameters and identifiable as the Planck constant. In respect to the train of the waves as a whole traveling at the finite velocity of light $c$, $\eng=mc^2$ represents thereby the translational kinetic energy of the wavetrain, $m=\hbarc\w/c^2$ being its inertial mass and thereby the inertial mass of the particle. Based on the solutions we also write down a set of semi-empirical equations for the particle's de Broglie wave parameters. From the standpoint of overall modern experimental indications we comment on the origin of mass implied by the solution.
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"abstract": "We establish the classical wave equation for a particle formed of a massless\noscillatory elementary charge generally also traveling, and the resulting\nelectromagnetic waves, of a generally Doppler-effected angular frequency $\\w$,\nin the vacuum in three dimensions. We obtain from the solutions the total\nenergy of the particle wave to be $\\eng=\\hbarc\\w$, $2\\pi \\hbarc$ being a\nfunction expressed in wave-medium parameters and identifiable as the Planck\nconstant. In respect to the train of the waves as a whole traveling at the\nfinite velocity of light $c$, $\\eng=mc^2$ represents thereby the translational\nkinetic energy of the wavetrain, $m=\\hbarc\\w/c^2$ being its inertial mass and\nthereby the inertial mass of the particle. Based on the solutions we also write\ndown a set of semi-empirical equations for the particle\u0027s de Broglie wave\nparameters. From the standpoint of overall modern experimental indications we\ncomment on the origin of mass implied by the solution.",
"arxiv_id": "physics/0501037",
"authors": [
"J. X. Zheng-Johansson",
"P-I. Johansson"
],
"categories": [
"physics.gen-ph"
],
"doi": "10.4006/1.3028859",
"journal_ref": "JXZJ\u0026PIJ, Phys Essays 19, 544 (2006);Unification of Classical,\n Quantum and Relativistic Mechanics and the Four Forces, Nova Sci Pub, 2006",
"title": "Origin of Mass. Mass and Mass-Energy Equation from Classical-Mechanics Solution",
"url": "https://arxiv.org/abs/physics/0501037"
},
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