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Nonlinear Theory of Fields

1998/11/24 by Dmitriy Palatnik, Palatnik, Dmitriy
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory #Solar and Space Plasma Dynamics #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/9811048

withdrawn due to unlikely result

openalex publication_date 1998/11/24 · arxiv created 2005/08/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 gab = gab - l2AaAb, where gab is metric (found from Einstein equations), Aa 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 qn = 2n\over3e and q'n = -(2n+1)\over3e, 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' - √ k(em' + e'm)]/r. It follows, then, that the Earth's mass, ME, contributes negative electrical charge, QE = - √ k ME, 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 QE.

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