I'm not a physicist and don't remember QM all that well, so feel somewhat uncomfortable trying to comment on this, but I'm not sure I understand why this is a p

I'm not a physicist and don't remember QM all that well, so feel somewhat uncomfortable trying to comment on this, but I'm not sure I understand why this is a paradox rather than an intriguing curiosity. There is a lot of work out there on how chaos can be produced from order. Stephen Wolfram was famously obsessed with how simple, deterministic cellular automata can produce complex, chaotic behavior. There is an interesting problem here, but it seems to violate our intuitions rather than actual physical principles.