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Tytus, what I think you may not be seeing is how torque is actually there. You seem to be referencing your animation a lot. And yes, the gearbox you've designed could feasibly work. Hopefully with the new nice gears (the one you've just shown) it can be easier for some of us to understand. Even if you animate it with perfect meshing, you still can't see how much torque is coming out of the final shaft.
Relax man, we are all testing it out, physically and mathematically. It's something new, it's gotta be picked apart before it's a) crap, b) awesome, c) another design.
Nobody said you are "destroying" energy, just.. misdirecting it somewhere that you don't want it to be.
When Motor A overpowers Motor B, causing B to stall, your gearbox is basically a normal bearbox reducing Motor A's RPM, but would be less efficiant because A would be also driving B.
Your rotational energy is lost, not destroyed. It's being disapated in noise, friction, and heat. And Motor B is pulling more amps, draining the battery faster.
As has been said, If implemented correctly, this could easily be a very good design.
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