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hash rate equilibrium

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In a hypothetical future where 1) bitcoin is the sole form of currency and 2) energy is near costless (let's assume costless for simplicity).

What would the hash rate equilibrium be in theory? Of course I think you'd have to make some assumptions around the up front cost of the mining equipment but it would make an interesting thought experiment

Is anyone bothered to do the math for me to figure this out?


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