It has from the first been a key concept in the Metaparticle Theory that the electron and other fundamental particles possess the ability to assume an augmented form, spherical in shape, due to the physical principle of gyroscopic precession*.  A balanced dynamic disk begins rotating on a second axis within the particle, resulting in a dynamic sphere. The first or bipolar spin bears the ratio of 1 to 1/2 (or 2/1) to the secondary or disk rotation.

This means that for each 360° rotation of the poles, the disk rolls over 180° as indicated in Figures 8 and 9.

There is no problem as long as the electron is left free to go through its double rotation as a sphere.  In Fig. 9 a time-sequenced diagram synopsizes the process.  

It begins with the basic particle oriented "up", goes into its spherical form during which it can't be observed, but if stopped would show "down" at 180° and "up" again after completing 360°.

Which seems perfectly natural; you pick up an empty water glass, turn it over 360°, and set it down on the table. It's not upside-down, it's right-side up.

This basic 1-1/2 ratio has been used in every computer simulation and has so far proved correct. Which suggests that in this puzzling phenomenon, some factor has interfered with the velocity of the disk's rollover.

The more detailed time-sequenced diagram in Figure 10 shows why two rollovers of 360° each are required to bring a captive electron around to its original "up" orientation.  The only change from Fig. 9 is that the electron's visible point-pole is now spinning around its primary axis 4 times while the dynamic disk it forms rolls over on its secondary axis once.  The particle has to be held in a magnetic field for its vector orientation to be determined.

Fig. 10

Note in Fig. 10 that the black dots show the changing positions of the visible "lesser" pole, the "greater" pole diametrically opposite not being diagrammed.  The primary spin of the particle's two poles around the arrow axis is not affected by the magnetic field.  It is the secondary, precessional rotation of the dynamic disk that determines changes in the particle's orientation.

The magnetic device has evidently been set to stop when it has rotated 360°.  The experimenters then observe that the electron's orientation registers "down" instead of "up".  They have to go around another 360°.  This is what used to be known as anomalous.

We theorize the proximate cause of this anomaly lies in a change of ratio between the primary and secondary internal rotations of the particle.  Early in our amateur metaparticle calculations and thought experiments, we set that ratio at 1-to-l/2.  I admit this was done by sheer guesswork: Why not try 1 to l/2, primary to secondary rotations? Physics calls the electron a "spin-l/2" category particle.  I didn't know how they got that until I read Hawking's playing-card explanation ten years later.  But the 1 to 1/2 ratio worked.  It worked in every computer simulation of particle behavior that we could perform.

We believe the magnetic field generating device causes a change in the ratio to 1-to-l/4.  That exactly accounts for how the rollover comes out in Fig. 10.  (We didn't employ quantum-anything to get that result, but trial and error, which is perhaps a bit more labor-intensive.)

An alternate possibility might be that we had 1-to-l/2 wrong from the beginning, and the rollover naturally comes out 1-to-l/4.  But the computer then provides a motion pattern which is so dissimilar to that given in Figs. 5 and 6 as to be very unlikely.

WHAT DOES SOLVING THIS 720° ROLLOVER MYSTERY PROVE?

Our solution lacks only one bit of data to be complete. We would need to know general details of the experimental lab device that actually produces the rollover effect on an electron. We have searched for such data but without success. Reasoning indicates the device responsible for the magnetic field holding the electron in position is also responsible for slowing down its secondary rotation.

What other than the magnetic field itself, which imposes its force on the electron, could be the unvarying cause of altering its expected, natural rollover of 360 degrees?

This final technical data, needed to put the finishing touch on our solution, is already known to experimental scientists. We feel sure they will come to the same conclusion. Then all they will need for "tentative proof" will be a blackboard full of math.

Surely they know by now that we won't furnish the math! We are sure we have found the most likely and logical explanation for this long-standing mystery without the help of mathematics. And anyway, we haven't got a blackboard.

Invisible companion particles, invisible superstrings, or some other mathematics-based theory can be substituted for the invisible greater poles of metaparticles, and quantum mathematics will make them work.  But no structural model of an electron will ever fully reflect reality until its absolute origin is established.  The Dynamic Field concept appears to be energetically sufficient to permit the creation and duration of particles upon which existence depends, staying within the contours of natural laws governing universal cycles.  Should those requirements demand the scientific recognition and use of substantive metaphysical principles, I am confident such will eventually come about.