WOW

That pic is really very close !
I'm not much of a movie buff, though can easily see that a subliminal input may have gone on at any time in the past.
When I drew it out, it looked like a brushless motor with 'bits on' lol. Thanks for finding that.
Kinda makes one wonder about finding a split coil motor now, perhaps in Doc Browns lab from Back To The Future

But related..here is a quote from your good self:
Frequency is a double edged sward that can work for us and against us. As it takes time for current to rise in a coil we need the on time to be as long as possible to allow enough current to flow to make the motor turn but if this time is too long the energy that is recovered from the inductive kickback is reduced in comparison to the input. Once we reach a certain frequency the maximum supplied current is inversely proportional to the frequency and this limits our motor current if we allow our inductive kickback to dissipate to zero. Also as frequency rises, the period of time the inductive kickback lasts becomes greater on proportion to the input we provide.
It makes sense that we maximize this so that if we have a motor that is 50% powered by us and 50% powered by the inductive kickback we have just doubled our efficiency.
Sounds like the split coil idea may have a furtherment direction !
People talk of stators with each tooth being individual and being a whole element as a pole. What if we cut the stator in half, to give an adjustable offset ?
The thought also arises to make each tooth L shaped, allowing for the "on time to be as long as possible", but adjustable, such that the L can become a 'T' shape when moved across the traditional tooth face.

Either or both sides of each tooth end piece bar (which would create the 'T') could be wound in a repeated tooth pattern, like we have Star and Delta say, to facilitate the switching time characteristics required. The fields would then be less reliant on switching circuitry, they would 'naturally' rise and fall due to the lagging and advancement of the 'T' shape.
If the motor has adjustable 'T' sections, using the split mentioned, then alignments become tunable.
For a starter motor or generator, the case could be split and a piece inserted, to increase the total length by around an inch and allow the extra assembly to be fitted.
If we wired such pieces bifilar to the tooth windings, then, well it could be very interesting, in the way that a bifilar coil outperforms a single winding..
Found this very interesting just now too, the lost Bob Teal interview: http://www.youtube.com/watch?v=aj7oD8JG5xU