Quantum theory rotational wave function

In Chapter 9, the phase angle

oscillation mode number riu. This variable without dimension quantifies a number of rotations ( turns ) of the wave function and it is placed in the Formal Graph in the node of the entity number of the oscillation inductive singleton. According to the quantum theory, this number is always an integer, implying that, in a restricted time window and/or space extension (confined object), only fundamental and harmonic frequencies could be present (i.e., only complete turns of the wave function are possible). This is the fundamental principle... 

The separated 3D wave equation can no longer describe any of these fundamental rotations. For this reason, the discovery of electron spin necessitated its introduction into quantum theory as another ad hoc postulate. The anomalous consequence is the unphysical situation of a point particle with spin. Only part of the spin function survives solution of the 3D wave equation, in the form of a complex variable interpreted as orbital angular momentum. In the so-called / -state, it has the peculiar property of non-zero orbital angular momentum with zero component in the direction of an applied magnetic field. This is the price to pay for elimination of spherical rotation. 

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