Georgia Mrkvicka Westphal your conjecture is something that most people discover at some point although they don’t usually connect it to Mandelbrot. It does run into trouble at the subatomic level as that doesn’t look anything at all like the macro universe but you may be right in more than one way.
It may be that rather than being a Mandelbrot scaled to this universe we are in a virtual universe that is created within another. Each universe is part of a virtual multiverse. There is work being done on this but way outside my area . . .