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 I don’t see how it’s relevant. Bitcoin uses CPU power to establish a global consensus or “canonical truth” of Bitcoin’s history. Nostr and spam aren’t really relevant, other than PoW could maybe be used to protect against spammers flooding a relay by having non-paying or non-invite or non-WoT users provide a small PoW in order to broadcast to the relay specifically.

Otherwise the idea of competing processing power doesn’t apply unless we are all trying to find a single global state and agree on which is the “real” one. 
 Thank you for sharing. Obviously I am not very well versed on the technicalities. I do know Nostr is its own protocol. I am not well informed on the exact parallels or maybe intersections is the more accurate word with the Bitcoin protocol, and this peeked a curiosity.  
 Thanks for that explanation. I am not reminded of that conversation on relays and PoW through micro payments maybe discussed on a panel at Nostriga.  
 Not=now*