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Its a complex system but I wouldnt say its processing anything.

I suppose for what I'm calling processing there needs to be some order. Things that do processing (our cells, processors, etc) use energy to keep some order in the system (keep lower entropy than their surroundings by using energy from those surroundings). Whereas the river is just at maximum disorder relative to its surroundings the whole time.

You could make a water computer where water flows through pipes and collects in cups and then the weight of the cups implements AND gates and OR gates and so on. But in that case the order is provided by the pipework and the energy input is whatever gets the water to the top of the system (and maintains the pipework from being worn away over time)




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