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Electrons don't rotate around the nucleus in the same way that planets go around stars, that's a simplification for high school text books. Supermassive black holes don't keep galaxies together either, galaxies rotate around themselves and even that isn't enough, hence dark matter.

Fractals are not necessarily the same at different scales. They can be self-similar at different scales.

Central forces don't guarantee that the universe is made of fractals. Nothing, for instance, orbits an electron within an atom (excluding spin-orbit coupling and other such quantum nonsense).

https://youtu.be/jhnKBKZvb_U?t=3516

What if? It is.