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If you take a more Darwinian point of view the dynamics of the universe are such that as the universe evolved in time, complex systems arose out of the natural dynamics of the universe.
I would suggest, merely as a metaphor here, but also as the basis for a scientific program to investigate the computational capacity of the universe, that this is also a reasonable explanation for why the universe is complex.
I have not proved that the universe is, in fact, a digital computer and that it's capable of performing universal computation, but it's plausible that it is.
Every physical system registers information, and just by evolving in time, by doing its thing, it changes that information, transforms that information, or, if you like, processes that information.
Computers are famous for being able to do complicated things starting from simple programs.
At some point, Moore's law will break down.
Another feature that everybody notices about the universe is that it's complex.
All physical systems can be thought of as registering and processing information, and how one wishes to define computation will determine your view of what computation consists of.
According to the standard model billions of years ago some little quantum fluctuation, perhaps a slightly lower density of matter, maybe right where we're sitting right now, caused our galaxy to start collapsing around here.
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