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 …
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Replying to @examachine
If you take self organizing computational structure it is going to shed the divergent parts of its dynamics, and if you add enough of it the emergent patterns become differentiable...
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Replying to @examachine
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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Replying to @Plinz @examachine
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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Replying to @Plinz @examachine
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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The universe is information preserving, so it cannot easily be stochastic. Randomness is easier to explain as unpredictability.
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