A classic example of bigger output than the input, is nuclear energy. Nuclear energy uses the aether power. But you can see many other examples here:
If this were true, then why do we need to keep refueling nuclear power plants with fresh uranium, and keep having to dispose of spent fuel nuclear waste that is NOT uranium? Something is being added, and waste is being created. Meaning it's not an infinite source of energy, meaning once we run out of uranium, that's it for uranium powered nuclear reactors. This suggests that the energy is stored in the nuclear fuel itself, and is released when we use it, same as energy out of coal, oil, etc. No math required to understand this.
Tell me how much energy we need to create an atomic explosion and how much energy we take from the explosion. Is the output bigger than the input? Yes or no?
It takes very little energy, just a tiny spark, to extract much more energy from gasoline, too. That doesn't make gasoline some magic perpetual motion fuel. It just makes them sources of energy, where that energy came from something else, and can easily be released. For gasoline the energy came from the sun that powered the plants that dinosaurs ate, and then the sun and earth's pressure that decomposed those dinos and converted them into oil. For nuclear power, it was a star's pressure that fused lighter elements into heavier uranium. Either was, energy was already existing, was transfered into a fuel, and once we release it from that fuel, it's gone. Just like a magnet that's brought too close to another magnet, storing up energy, and once they are released, the magnets spring apart and all that energy is gone, or energy added to water to break it into hydrogen and oxygen, and once the two gases are recombined, that energy is gone.
Note that in ALL those cases, the energy put in is less than the energy we get out of it. Even for star created nuclear fuel.
