This scaling argument only works if the consituent molecules, atoms and particles also scale proportionally.
If you scale the system but keep one end tied down it isn't the same system.
If you scale the system but keep one end tied down it isn't the same system.
My reason for comment related purely to the looseness of the conversation, w.r.t. the word "scale", which, it seems I had misunderstood to mean an affine transform.
In light of this comment, I now see you were talking about some growth function or change in topology/structure.
Thanks for the clarification.