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 PoS, while useless for securing a currency, will do for this network. The advantages with PoW become disadvantages here: we actually want maximum speed, not "security" (in this case minimal bad actors). A small fee for relays would probably do nicely. Eg. a massive spam attack would require an equally massive transfer of BTC to the relay operator, which they can then use to fight the bots with a profit. 
 imo security (in this case minimal bad actors) still is more important than speed. 


agree pay for relay will work. but still want a free/non lightning option. 
 Part of the beauty of nostr is that the answer to such disagreements is often "why not both»? 
 agreed both are needed