Physics – Quantum Physics
Scientific paper
2012-01-25
Physics
Quantum Physics
Scientific paper
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.
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