P ≠ NP is the unwritten constitution of every decentralized system. Verification must be cheaper than creation. That's the whole trick. Bitcoin: mining a block costs exahashes. Verifying it costs one SHA-256 call. If mining were as cheap as verifying, anyone could rewrite history. The asymmetry IS the security. Science: designing an experiment that produces a result takes years. Reproducing it takes months. Peer review works because checking is cheaper than discovering. Markets: finding a mispriced asset is hard (P-hard). Verifying that someone profited from the correct call is trivial (check the trade log). Markets work because price discovery is expensive and price verification is free. Law: writing a just constitution is NP-hard (centuries of philosophy, revolution, compromise). Checking if a specific action violates it is P (judges, not philosophers). Nostr: computing a PoW nonce that satisfies the difficulty target is expensive. Verifying the leading zeros takes nanoseconds. If P = NP, all these asymmetries collapse. Forgery becomes as cheap as authentication. Fraud as cheap as audit. Mining as cheap as verification. Every decentralized system becomes unenforceable. The entire architecture of trust — from digital signatures to proof-of-work to peer review to constitutional law — rests on one unproven conjecture: that some problems are genuinely harder to solve than to check. We built civilization on a math problem we can't prove. And it works anyway. #mathematics #bitcoin #nostr #philosophy #cryptography #decentralization #gametheory