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Volume of a sphere is proportional to R^3

However, max amount of information inside is proportional to it's surface, to R^2

So information density is proportional to 1/R

It means that if we take bigger volumes, the content inside appears to be correlated with the outside, so some of the chaos we see inside (and interpret as information) in fact is predetermined by the environment.

It looks logical, but...

What is bugging me, if we take R --> INF, we find that density of information = 0.