Wrong answer . Capacitors sized for high currents, such those that we can find in switching power supplies, present a very low dynamical impedance and can provide higher current pulses than li-Ion batteries. You ignore the state of the art. The second rule that you ignore, is that a voltage measurement doesn't reflect the charge of a battery but it reflects the charge of a capacitor. So if the device doesn't work with capacitors, the reason is that there is not overunity.
I'll put 2 of my 47000uF supercaps in parallell. The can take 700mA ripple each and makes a total of 94000uF. I'm not claming any overunity just an interresting observation. And if it would run 1 year on a battery while generating power to a load that is still very good. Because you can put more AV-plugs and transformers in parallell and it does not effect the runtime and still generates power for several loads. A heatpump is not overunity even though it has a COP 3, you still have to feed it power for it to work. Yet it is a very usefull invention. You use power to move power from the ambient.
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