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Horological Meandering

The problem with this scenario is that you are assuming an efficiency of over 100%.

 



When the two barrels wind down, some energy is lost moving the gears and the hands. Yet more energy is lost moving a rotor to feed these two barrels. That rotor would have to be over 100% efficient to generate the same amount of energy back into the two barrels, plus the surplus needed to show the time. There is energy lost in every friction point. The balance wheel even loses energy from the resistance of the air inside the case! You would need to operate the watch in a vacuum, have 0 friction, or have a magical winding system that puts out more energy than it receives.
Think of regenerative braking on an electric car. What you are positing is to have the battery charged to full capacity solely from the regeneration, but in a lossy system, this is impossible because you need to first move the car using some external energy before you are able to regenerate via the friction created by the brakes while slowing the car.

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