Once talking to a visiting professor at my institute, I heard about some simple model that captures the emergence of space coordinates as the eigenvalues of some infinite-dimensional quantum mechanical Hamiltonian in $0+1$ dimensions.
Unfortunately, my attempts to find a reference or explanation inevitably end up in very complicated string theory papers that are far from what I am looking for and in which I am, to say the least, not an expert.
I would love to find some description of how this can be implemented. A toy model is more than enough.
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