> Given enough time, every possible structure is formed via random fluctuation
NO. That is not what infinity means. I hate that this garbage made its way into anyone's lexicon.
If a state is possible, isn’t an infinite amount of permutations will form that state? Isn’t that the definition of a non zero probability?
I’m not sure if that means it will for sure happen or not, if the draw happens an infinite amount of times.
Perhaps we could use a variation on in which somehow supports some infinitesimal values, but if one wishes to keep both countable additivity and have the distribution be uniform in the sense of translation invariant, then we run into difficulties.