One of the two radiating waves of a hydrogen atom
shown at the left is stable, while the other is unstable. Try to guess which
one is stable. This is a plot of an eigenvector.
Did you pick the top wave at the left
as being stable? It does conform to Einstein's theory which limits the velocity
of all waves to no greater than c, the speed of light in a vacuum.
However, the shape of this field wave continually changes shape with time
and never reaches a steady state. This is a conflict, since the hydrogen
atom is known to have stable states of harmonic motion. This graphic
is illustrated and discussed in "The Secret