1201.5281 (Yehonatan Knoll)

Extended Charge Dynamics    [PDF]

Yehonatan Knoll

The quantum mechanical differential cross section in Coulomb scattering
exactly coincides with the Rutherford formula, derived from classical dynamics
of point charges. The QED Klein-Nishina expression for the differential cross
section in Compton scattering reduces at low frequencies to the classical
Thompson formula, likewise derived from classical electrodynamics. Could it be
a mere coincidence that two such vastly different mathematical apparatuses lead
to identical results? It is conjectured in this paper that quantum mechanics
describes statistical aspects of ensembles of solutions of some `corrected'
version of classical electrodynamics, hence the above coincidence when
classical electrodynamics is reasonably accurate. It is also claimed that both
the call for a corrected version of classical electrodynamics, as well as the
need for a statistical theory to complement it, have been widely acknowledged,
but their implications overlooked. A modified electrodynamics, dubbed extended
charge dynamics, which was recently published by the same author, is shown in
the current paper not only to be compatible with the statistical predictions of
quantum mechanics, but naturally also to hold an independent content.

View original: http://arxiv.org/abs/1201.5281