In the deductions of this paper the following general assumptions are used:—
1. That an elementary system containing rotating electrons will not emit energy radiation in the continuous way assumed in ordinary electrodynamics, but that radiation is only emitted during the passing of the system between a certain number of stationary states.
2. That the dynamical equilibrium of the system in the stationary states is governed by the ordinary laws of mechanics, while these laws do not hold for the passing of the system between the different stationary states.
3. That the radiation emitted during the passing of the system between two stationary states is homogeneous; and that only in the region of slow vibrations does the frequency approach that to be expected on ordinary electrodynamics, while in general the frequency
is determined by the relation
, where
is the total amount of energy emitted and