To investigate this possibility, the forces influencing an electron in the presence of an atomic, temporal structure need to be considered, of which there are three:
- Speed of the atomic rotation.
- The magnetic field generated by the primary and secondary magnetic rotations (the A-B in Larson’s A-B-C notation).
- The electric field generated by the electric rotation (the C component).
According to Larson, the electric and magnetic forces are related by a factor of “c”, making the electric force substantially stronger than the magnetic force. The next influence upon the atomic region would therefore be the electric, then TWO magnetic forces, one for the primary magnetic rotation and one for the secondary, which is geometrically orthogonal to the primary.
When a particle moves through an electric field, it becomes subject to the Stark Effect and the resultant Stark Splitting—a quantum increase in energy of the particle as the electric field adds additional electric speed to the particle, itself. This would create a number of sub-levels within each of the atomic rotations, limited by the atomic rotation, say 0-(N-1). This appears to correspond to the “L” quantum number, the sub-shell.
Next, the two magnetic influences need to be taken into account. Particles subject to a magnetic field exhibit the Zeeman Effect, another type of splitting based on magnetic, rather than electric, character. There are two magnetic influences, the primary and the secondary (orthogonal to the primary), so regions should be created that represent the effects of BOTH the transverse Zeeman Effect, and the longitudinal Zeeman effect.
The transverse Zeeman Effect splits three ways. The original “speed” (0), an increase in speed (+n) and a decrease in speed (-n). The Zeeman Effect would be limited by the electric effect, creating another quantized sub-range running from –L .. 0 .. +L, which resembles the “M” (or ML) quantum number. When the transverse Zeeman Effect affects photons (the charge of an electron in RS2), the result is linear polarization of all the split speed ranges.
The longitudinal Zeeman Effect splits two ways, one step up and one step down, but with a secondary effect upon photons of giving them a circular polarization in opposite directions. The spin of the electron is ½, so the result would appear as +½ and -½, the “S” (or MS) quantum number, demonstrating the opposite polarization due to the longitudinal effect.
When accounting for the atomic speed along with the electric and magnetic influences within the atom, it appears they form a wide set of quantized “speed ranges” for the capture of electrons that happen to have speeds (energies) that match the atomic speeds, and therefore get trapped at those locations, as previously discussed.
Attached is a diagram of the influences and the resulting ranges of speed.
Note that this is just an idea I came up with when reading about the behavior and properties of quantum numbers. I have no idea if there is any validity to it, but I submit it for your consideration.