From the Sorites paradox to the fractal boundary

This is the first article in which, instead of limiting myself to exposing the established facts and theories of modern science, I indulge in adding a minimum of personal vision.
Not so much in the concepts outlined, but in looking for a link between them. To take a step back to look at the forest instead of focusing on the trees.
For this reason I need to mix together some arguments in the hope of highlighting the aspects that they have in common and to which we give different interpretations.
The two complementary aspects that are the heart of this article are separation and vagueness.
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