Clarity can now also be seen in the question of why there is a direction quantization in the Stern-Gerlach experiment. This is simply because the electrons do not like to be disturbed in their finely woven magnetic field spin. Just as they reject admitting a third partner in a spherical shell, they also reject disturbances of their rhythm by external fields. This is best achieved by turning their axis e - f toward the external field. Then all 4 magnetic fields are indistinguishable and no one is priviledged. Still another argument speaks against the existence of the electron spin in terms of quantum theory: it is not known that free electrons – e.g. cathode rays or electrons that are generated by the ß-decay of radioactivity – show a Stern-Gerlach effect. On the other hand, it does not make sense to fight against an idea which does not actually claim to be illustrative; the spin of the electron should only be a substitute model for processes that cannot be specified in detail. Likewise, except for its mathematically correct formulation, the atomic model of quantum theory does not claim to be illustrative, so that in a discussion about the drawbacks of the previous model it’s like preaching to the choir since this model simply does not exist.
Let’s return to the question we have not yet answered. It was speculated that the Lorentz’ force can be responsible for the electron wobbling on its orbit. Therefore, we carefully conduct the electron along the four small circular paths. Afterwards, we attempt to calculate one of the four magnetic fields (e.g. direction 1) and then calculate the Lorentz’ force by formulating . Subsequently, this Lorentz’ force should be equated with the centrifugal force acting on the small circular paths. Now it becomes exciting:
Having succeeded in obtaining such an equation we could think about how to calculate Planck’s constant. Due to the equivalence of the centrifugal force and the Coulomb attraction of the nucleus, there is a second equation that fixes the electron to the spherical shell and contains h– due to the “quantization rule” -!