Atomic Stability as Result of Electrodynamic Stability Condition

According to [1] an electron {\Large{\sf e}}$^{-}$ is formed of an oscillatory massless charge $-e$ in general also traveling at velocity $v$, and the resulting electromagnetic waves of angular frequency $\omega^j$, $j=\dagger $ and $ \ddagger$ for generated in $+v $ and $-v$ directions. The wave energy $\hbar \sqrt{\omega^\dagger\omega^\ddagger}$ equals the charge oscillation energy $\varepsilon_q$ (with the $v=0$ portion) endowed at the charge's creation; $\varepsilon_q/c^2$ gives the electron mass $m_e$, $c$ the wave speed. For an atomic orbiting electron, the charge's $v$ motion is along a circular (or projected-elliptic) orbit $\ell$ of radius $r$; so are its waves. (a) The waves meet in each loop with the charge, are absorbed a portion by it and reemitted, repeatedly, and thereby retained to it; the vacuum, having no lower energy levels for the charge to decay to except in a pair annihilation, is essentially a non-dissipative medium. (b) The two waves, being Doppler-differentiated for the moving source, meet each other over the loops and superpose into a beat, or de Broglie phase wave ${\mit\Psi}$. ${\mit\Psi} =C e^{i(k_d \ell-\omega T)}$ is a maximum if $2\pi r_n = n\lambda_{dn} $, $n$ integer, $\lambda_d=\frac{2\pi}{k_d}=(\frac {c}{v})\lambda$ the de Broglie wavelength and $\lambda=\frac{2 \pi c}{\omega}$, and accordingly yields a stable state. The corresponding overall eigen solutions are exactly equivalent with the QM results. The classical electrodynamic stability conditions (a)-(b) entail the stability of the atomic system. \quad [1] JX Zheng-Johansson \& P-I Johansson, {\it Unification of Classical, Quantum and Relativistic Mechanics and the Four Forces}, Fwd Prof R Lundin, Nova Science, NY, 2005; see also B40.00003, this meeting.