If you model the dynamics of astrophysical objects and increase the number of moving parts, the Schrödinger equation emergeshttp://www.sci-news.com/astronomy/astronomical-objects-schroedinger-equation-05786.html …
I suspect that it expresses a mathematical principle. Information preserving dynamics is going to be a permutation, adding more moving parts asks more making the permutation differentiable in the limit, and you get to rotations.
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The dimensionality and structure of a space is defined by the types of rotations possible, and an n dimensional space is basically a way to regularly fold a one dimensional address space into a regular or hyperbolic lattice.
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The dynamics observable in our universe might simply be the set of all stable differentiable automata that we can see emerge at low dimensionality (higher dimensions suffer more from scarcity of elements, are more difficult to measure and model, and may even lack stable dynamics)
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Can you explain over what this principle emerges?
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