We have made an error in the second and fourth quadrants and will correct it immediately by means of the second and third orbits. This is done by cutting open the first orbit at points 1 and 2 and inserting the second and third orbits in between them (Figures 12 u. Figures 13):
All these manipulations are permissible because the orbital changes are performed at a point of time, when the contribution to the angular momentum integral is zero.
Hence, the mean angular momentum of the first orbit must be . It is obvious that for the other two orbits the mean angular momentum is 0. However, for the complete coverage of our construction consisting of three auxiliary orbits, we need twice the time necessary for the given rosette orbit.
Thus, for our auxiliary orbit, we have obviously got the mean angular momentum of an orbit that has actually been travelled twice. The immediate consequence is:
XV
Hence, only half the area can contribute to the area speed for such a “forward angular momentum with reverse gear” (Fig. 14).
From XIII and XV now follows the gyromagnetic ratio of the “spin”:
XVI
Now we may claim for our model: there is no electron spin in terms of quantum theory.