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arXiv · 2603.00219

Still The New Classical Relativistic Equation of Charge Motion in an Electromagnetic Field

Anatoliy V. Sermyagin
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Abstract

The non-relativistic Goedecke equation (1975), which describes the motion of a point charge taking into account the radiation reaction, has no "runaway" solutions. A "physical" method of covariant generalization of this equation is proposed, a special case of which is based on the Lorentz transformations in a coordinate--free covariant representation. Two equivalent forms of a new classical relativistic equation of motion of a point charge are obtained. It is shown that the Abraham--Lorentz--Dirac (ALD) and the Mo--Papas (MP) equations are approximate consequences of the presented theory.

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Anatoliy V. Sermyagin. 2026-02-27. Still The New Classical Relativistic Equation of Charge Motion in an Electromagnetic Field. https://doi.org/10.13140/rg.2.2.18901.28647

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