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...
Couldn't one argue that the surface energy *is* extensive as it does scale
the same as the size of the two dimensional manifold on which it resides?
Double the surface area, you double the surface energy.
I suppose this is quibbling over the definition of "extensive" ...
Exactly. Joel has a valid concept. We just need to
straighten out the nomenclature.
Usually when people say "extensive" it is assumed to
mean regular D=3 extensive. If you want to talk about
something that is D=2 flatland extensive, you need to
say so explicitly. That's all.