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Friction will prevent that, similar to the self-locking behavior of a worm gear. Even if you could get it started, it would take as much energy to spin the output shaft once as it takes to spin the input shaft 11 million times. If you tried to quickly spin the output shaft, the forces exerted on the gears would shred the materials almost instantly.



It would be fun to calculate the power input required for that. I suspect it would be in the range of megawatts or so - instantly vaporizing the gearbox (assuming you could somehow push that power into it before you destroy it mechanically).


Maybe make the gearbox out of mirrors and the "shaft" out of light. Suspend the whole thing in a magnetic field.




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