Can electrons flow in opposite directions on the same wire, see schematic!

[fritznien]

assume both batteries are the same and both motors are the same.
there will be no voltage between the battery junction and the motor junction
the motors act as a voltage divider, the batteries are center tapped.
without voltage there can be no currant in the cross link.
no indication on the diagram of motor polarity so no way to say what direction they turn but the polarity of the applied voltage on the motors will not change with or without the cross link.
fritznien

[kmarinas86]

I will simply quote what I said earlier:

The ability for the battery on the left to power that motor directly is largely dependent on the size of the conductor relative to your current. If you use very wide conductor plates, it would easy for the opposing currents to be split, but if they were so thin, then it would be more like attaching a meter across with high impedance, and you basically get nothing going through there. Somewhere in between those two situations you would have something like a ground that is 1.5V less than the rest of the circuit.

[kmarinas86]

the polarity of the applied voltage on the motors will not change with or without the cross link.
fritznien

Exactly.

[exnihiloest]

AC ?, there is no AC and the motors aren't either. I was simply trying to describe as simply as I can that current doesn't run in both directions in the center wire. The circuit is simply a voltage divider !

Not at all.
As the motors do not draw the same current at each moment of time during each turn, due to the switching connections and the variable coupling between coils and magnets, it is obvious that there is an AC current (with a frequency depending on the number of turns/s and on the number of coils, + harmonics).

[Bulbz]

Not at all.
As the motors do not draw the same current at each moment of time during each turn, due to the switching connections and the variable coupling between coils and magnets, it is obvious that there is an AC current (with a frequency depending on the number of turns/s and on the number of coils, + harmonics).

What if you swapped the motors for light bulbs, there shouldn't be any AC fluctuation and those bulbs will still light up.