Unit has to be something fixed .. like a meter doesn't change its length unless it is traveling at relativistic speed :-)
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Each new block represents the current marginal cost of power, while older blocks represent the aggregate cost to rewrite the chain through that block.
Either way, it’s all about power. Bitcoins value is necessarily supported by the cost of power.
Power plus compute .. if someone made a more efficient hash machine , power consumption may reduce ..
Bitcoin is what fixes the unit. That's the whole point.