It remains to be seen if we will have immediate success with this procedure. In any case, we have serious doubts about whether or not the quantity h is a universal physical constant. Even for the following reasons the existence of h as a universal physical constant is very uncertain: all natural processes can be described by means of a measurement system that can do with 3 independent dimensions. Therefore, it must be possible to describe all physical laws by means of a measurement system that is based upon three universal physical constants. However, we have four so-called universal physical constants. Consequently, one of them must be redundant:
One does not tend to easily doubt the first three quantities, but rather the fourth one, particularly since it demonstrates in the form of the fine structure constant that it is not independent of e0, and c.
In a word, let us attempt the calculation of by means of the Biot-Savart law, although we know for sure that this is a wrong approach and that we will certainly fail any time. Nevertheless, the risk must be taken since we hope to find such arguments that may be helpful.
XVII
As we have established our magnetic field theorem, we will be looking for only in the spatial direction that corresponds to the projection of the ellipse shown in Figure 8. (For clarity, the drawing is made such that the viewer sees the ellipse at a slight incline.)
But for a current filament remaining in a given plane, the Biot-Savart law can slightly be simplified (Fig. 15).