Relativistic Dynamics of Accelerating Particles Derived from Field Equations View Full Text


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Article Info

DATE

2012-08

AUTHORS

Anatoli Babin, Alexander Figotin

ABSTRACT

In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein’s celebrated energy-mass relation E=mc2 is commonly derived from that fact. By contrast, in Newtonian mechanics the mass is introduced for an accelerated motion as a measure of inertia. In this paper we rigorously derive the relativistic point mechanics and Einstein’s energy-mass relation using our recently introduced neoclassical field theory where a charge is not a point but a distribution. We show that both the approaches to the definition of mass are complementary within the framework of our field theory. This theory also predicts a small difference between the electron rest mass relevant to the Penning trap experiments and its mass relevant to spectroscopic measurements. More... »

PAGES

996-1014

References to SciGraph publications

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  • 1906-12. Sur la dynamique de l’électron in RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO SERIES 2
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  • 1983-03. Electromagnetic mass revisited in FOUNDATIONS OF PHYSICS
  • 2004-12. Soliton-Type Asymptotics for the Coupled Maxwell-Lorentz Equations in ANNALES HENRI POINCARÉ
  • 2010-03. Wave-Corpuscle Mechanics for Electric Charges in JOURNAL OF STATISTICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/s10701-012-9642-z

    DOI

    http://dx.doi.org/10.1007/s10701-012-9642-z

    DIMENSIONS

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