zeffur7
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Couchyam said:consider the following example:
let there be two "letters", 'a' and 'b', which can be concatenated to form new elements in a set: any two elements of the set can be concatenated to produce a third element in the set (which is unique). Here's the following rule: you can only make one concatenation per time step. Philosophical question: is there some "space" into which this set (which is "expanding" in a way) is growing? Hypothetically, we could construct the "closure" of this set, and say that the "instantaneous" set is growing into the closure. However, from a computational perspective this would mean doing an infinite number of calculations (concatenations) in advance to determine all elements of the set. This is more of a philosophical question, but from the perspective of the elements of the set, there isn't really an "outside" set into which it is expanding: it's just making new combinations of old parts.
Concatenating/combining matter to form new matter within a bounded system is not related to the expansion of that system, imo. If on the other hand, dark energy, which has been proposed elsewhere in this thread, is some how being added to our system, then it seems reasonable that our universe should expand as a balloon would expand if additional air/gas is forced into its interior. Expanding into nothing, still seems particularly bothersome to mentally digest.