1207.3627 (Ricardo Gallego Torromé)

A second order differential equation for a point charged particle    [PDF]

Ricardo Gallego Torromé

A model for the dynamical evolution of a point charged particle interacting with higher order fields is described by an ordinary second order implicit differential equation. We show that such equation is free of run-away and pre-accelerated solutions of Dirac's type. The theory is Lorentz invariant, causal, and compatible with Newton's first law and energy-momentum conservation. However, it is not a local theory in the usual sense. In our model for point charged particles, covariant uniform acceleration motion is unstable and must be understood as an approximation.

View original: http://arxiv.org/abs/1207.3627