extremely interesting to me! sometimes i like thinking about it in other ways, like depending upon the theory and the configuration, what computational constraints are imposed on the universe. e.g. is the complexity of qcd in a nucleon tied to its mass & therefore time (sluggish)
a think I have thought about is that quantum theories are inherently linearized theories in a core sense, and we're talking about nonlinear geometry. it does make sense that there would have to be a mismatch somewhere.
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I used to think that way... but remember that describing a quantum field theory involves infinite dimensional linear structures; these infinite dimensional linear structures may actually suffice to encode finite dimensional non-linearity I can give examples.
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here's what i'm thinking intuition wise. time evolution you do by multiplying the hamiltonian by the state vector. totally linear, but it presupposes you can project the state onto a Hilbert space described by the Hamiltonian? Is this the same Hamiltonian everywhere *actually*?
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