Ramsey Theory, much like Number Theory, Set Theory or Group Theory, is an ongoing field of study which contains many theorems and many unanswered questions. You have to actually give a theorem that applies to universes.
I would also like to point out that Ramsey’s Theorem doesn’t actually guarantee interesting things, and insofar as it guarantees anything it doesn’t guarantee much of it. It asserts that sufficiently large multicoloured graphs must contain monochromatic sub-graphs of any desired size. I don’t consider monochramtic sub-graphs to be very interesting, certainly not in the same sense that life is.
Furthermore, the ‘sufficiently large’ requirement grows exponentially with the ‘desired size’. The exact rate of growth is not known but it lies somewhere between 2^(x/2) and 4^x (this is the limit of my knowledge, please tell me if a better exponential bound has been found).
That’s just for the complete monochromatic graphs, if you look at Ramsey theory in general you see some even more ridiculous bounds, this is the field that gave us Graham’s number.
All this means that the best that representing the universe as a graph will do is prove that some ludicrously tiny portion of the universe has some coincidental property, which may provide a brief ‘oh hey look at this’ to anyone observing it, but need not have any long term value or interest.
Ramsey Theory, much like Number Theory, Set Theory or Group Theory, is an ongoing field of study which contains many theorems and many unanswered questions. You have to actually give a theorem that applies to universes.
I would also like to point out that Ramsey’s Theorem doesn’t actually guarantee interesting things, and insofar as it guarantees anything it doesn’t guarantee much of it. It asserts that sufficiently large multicoloured graphs must contain monochromatic sub-graphs of any desired size. I don’t consider monochramtic sub-graphs to be very interesting, certainly not in the same sense that life is.
Furthermore, the ‘sufficiently large’ requirement grows exponentially with the ‘desired size’. The exact rate of growth is not known but it lies somewhere between 2^(x/2) and 4^x (this is the limit of my knowledge, please tell me if a better exponential bound has been found).
That’s just for the complete monochromatic graphs, if you look at Ramsey theory in general you see some even more ridiculous bounds, this is the field that gave us Graham’s number.
All this means that the best that representing the universe as a graph will do is prove that some ludicrously tiny portion of the universe has some coincidental property, which may provide a brief ‘oh hey look at this’ to anyone observing it, but need not have any long term value or interest.