A more natural way might be to say that in this world, there is no sampling-with-replacement, there is only sampling-without-replacement.
That is nicer. I don’t have enough background in statistics to have fully internalized the regular terms for things. I end up tabooing myself and using more words than necessary.
There are probably weird consequences in thermodynamics & physics from these hidden variables too, but I’m not sure what.
That’s why I hedged with “Assuming it doesn’t break causality or similarly hazardous anti-fun effects”. It’s difficult to invent any universal magic effects that don’t throw a wrench in physics if the consequences are extrapolated far enough.
Very cool analysis!
That is nicer. I don’t have enough background in statistics to have fully internalized the regular terms for things. I end up tabooing myself and using more words than necessary.
That’s why I hedged with “Assuming it doesn’t break causality or similarly hazardous anti-fun effects”. It’s difficult to invent any universal magic effects that don’t throw a wrench in physics if the consequences are extrapolated far enough.