• Corpus ID: 119330805

Electric charge in hyperbolic motion: arcane geometrical aspects

@article{Galeriu2017ElectricCI,
  title={Electric charge in hyperbolic motion: arcane geometrical aspects},
  author={Călin Galeriu},
  journal={arXiv: General Physics},
  year={2017}
}
  • C. Galeriu
  • Published 2 December 2017
  • Physics
  • arXiv: General Physics
We look at an electric charge in hyperbolic motion, and we describe some arcane geometrical aspects of the electrodynamic interaction. We discuss the advantages of a time symmetric formulation in which the material point particles are replaced by infinitesimal length elements along their worldlines. We show that the four-force obtained from our geometrical model is very closely related to the "electrostatic" four-force obtained from Fokker's time symmetric action. 
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References

SHOWING 1-10 OF 14 REFERENCES

Electric charge in hyperbolic motion: the early history

The study of an electric charge in hyperbolic motion is an important aspect of Minkowski’s geometrical formulation of electrodynamics. In “Space and Time”, his last publication before his premature

Time‐Symmetric Action‐at‐a‐Distance Electrodynamics and the Structure of Space‐Time

This paper begins with a critical analysis of the concept of 'material point particle'. We argue that this concept is incompatible with the force laws of action-at-a-distance electrodynamics, and we

Radiation from a Uniformly Accelerated Charge

The emission of radiation by a uniformly accelerated charge is analyzed. According to the standard approach, a radiation is observed whenever there is a relative acceleration between the charge and

Classical theory of radiating electrons

The Lorentz model of the electron as a small sphere charged with electricity, possessing mass on account of the energy of the electric field around it, has proved very valuable in accounting for the

Radiation reaction 4-force: orthogonal or parallel to the 4-velocity?

Dans cette note nous exposons quelques problemes liees a la derivation classique de la 4-force du freinage de rayonnement, et, avec l'aide de l'equation de Dirac pour la balance relativiste de

A derivation of the homogenous Maxwell equations

We present a theoretical derivation of the homogenous Maxwell equations, based on Stokes theorem for Minkowski space tensors.

The Principle of Relativity

II. AT the root of what are generally thought of as our intuitive notions of space and time lies the conception of simultaneous instants at different points. The sensations by which we actually

Ein invarianter Variationssatz für die Bewegung mehrerer elektrischer Massenteilchen

ZusammenfassungEs wird ein Variationssatz für die Punktmechanik mehrerer elektrischer Massenteilchen aufgestellt, der invariant ist gegenüber Lorentztransformationen und in den, mittels Anwendung von

Die Grundgleichungen für die elektromagnetischen Vorgänge in bewegten Körpern

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