The nature of fractals and how we visualised Mandelbrot gives the impression of infinity, but if you look, it is a constant repetition of the same process and is not transferable to reality
It actually is transferable to reality. The repetition is call iteration and yes, it is self similar at different magnitudes but always slightly different. The fact that this mathematical concept is transferable to reality is the key aspect of it. Now we know that seemingly random processes like clouds, pine trees, forests, coastlines, heartbeats, brain signals, a head of lettuce, seashells, waves, even our conversation, and a multitude of non-linear dynamic processes, perhaps everything in the universe, contain fractal properties. This is the revelation of Chaos theory. It's not about chaos but order. An order that exists in that which we thought was chaos.
... or so I understand
I see what you are getting at.
Thanks for the addition.
This chaos (seemingly random processes), as one may have viewed a brain, cloud formations, etc., I myself did not perceive as chaos, but in fact as a hidden order in the supposed disorder that I so assumed. Even a chaotic conversation and formations of peoples I would also include, yes.
Computer-controlled calculation makes it possible to simulate such processes in fast forward. Since the human being (and all things) but passes through his earthly existence by means of natural ageing, this discovery is a very elegant and beautiful method for spiritual understanding. For example, a nine-month pregnancy or the growth of a broccoli, while generally the same, is slightly different from one individual to another. Sickness then also is order (this is something very hard to accept though). And also death is order.
This is why there's a lot of work being done with quantum computing. This technology works on different principles than linear computation. It will transform society in incredible ways.