Siphoning works by moving water (or other fluid) from high potential energy to low potential energy, but by going through a *higher* state on the way. Gravitational potential energy is directly proportional to height, so we can just go with height = energy.
The core reason siphoning works is that at the highest point of the siphon, the energy gained by a unit of water going to the lower container is more than the energy required to lift another unit of water from the higher container up to the top.
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