dorsal/arxiv
View SchemaNonlinear Theory of Fields
| Authors | Dmitriy Palatnik |
|---|---|
| Categories | |
| ArXiv ID | physics/9811048 |
| URL | https://arxiv.org/abs/physics/9811048 |
Abstract
Suggested modification of the Einstein-Maxwell system, such that Maxwell equations become non-gauge and nonlinear. The theory is based on assumption that observable (i.e., felt by particles) metric is $ {\tilde{g}}_{ab} = g_{ab} - l^2{A}_a{A}_b$, where $g_{ab}$ is metric (found from Einstein equations), $A_a$ is electromagnetic potential, and $l$ is fundamental constant of the theory. Specific model of the mass and charge densities of a fundamental particle is considered. As a result, one obtains solutions corresponding to quantized electrical charge with spectrum $q_{n} = {{2n}\over3}e$ and $q'_{n} = -{(2n+1)\over3}e$, where $n = 0, 1, 2, ...$ Theory predicts Coulomb interaction between electrical charges and masses. Namely, if ($m, e$) and ($m',e'$) describe masses and electrical charges of two particles respectively, then energy of interaction (in non-relativistic limit) is $V(r) = [ee' - kmm' - \sqrt k(em' + e'm)]/r$. It follows, then, that the Earth's mass, $M_E$, contributes negative electrical charge, $Q_E = - \sqrt k M_E$, which explains why primary cosmic rays consist mainly of positively charged particles. One may attribute the fairweather electric field at the Earth's surface to the charge $Q_E$.
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"abstract": "Suggested modification of the Einstein-Maxwell system, such that Maxwell\nequations become non-gauge and nonlinear. The theory is based on assumption\nthat observable (i.e., felt by particles) metric is $ {\\tilde{g}}_{ab} = g_{ab}\n- l^2{A}_a{A}_b$, where $g_{ab}$ is metric (found from Einstein equations),\n$A_a$ is electromagnetic potential, and $l$ is fundamental constant of the\ntheory. Specific model of the mass and charge densities of a fundamental\nparticle is considered. As a result, one obtains solutions corresponding to\nquantized electrical charge with spectrum $q_{n} = {{2n}\\over3}e$ and $q\u0027_{n} =\n-{(2n+1)\\over3}e$, where $n = 0, 1, 2, ...$ Theory predicts Coulomb interaction\nbetween electrical charges and masses. Namely, if ($m, e$) and ($m\u0027,e\u0027$)\ndescribe masses and electrical charges of two particles respectively, then\nenergy of interaction (in non-relativistic limit) is $V(r) = [ee\u0027 - kmm\u0027 -\n\\sqrt k(em\u0027 + e\u0027m)]/r$. It follows, then, that the Earth\u0027s mass, $M_E$,\ncontributes negative electrical charge, $Q_E = - \\sqrt k M_E$, which explains\nwhy primary cosmic rays consist mainly of positively charged particles. One may\nattribute the fairweather electric field at the Earth\u0027s surface to the charge\n$Q_E$.",
"arxiv_id": "physics/9811048",
"authors": [
"Dmitriy Palatnik"
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"title": "Nonlinear Theory of Fields",
"url": "https://arxiv.org/abs/physics/9811048"
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