I am partial to the idea that the quantum state is a state of knowledge (about a system that we can only observe during the time slices in which we exist, and with uncertainty about our own state), but Nielsen opens an important discussion that is rarely make explicit.https://twitter.com/AndreasAtETH/status/1073455979919040512 …
If I would describe my own perspective, it is basically a finitist version of the Church Turing thesis as the fundamental law, and you can derive physics by generating all universe states and recovering the universe that must contain us as a thread by following its memories.
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It is all integers, and you get quantum effects due to there being no space and no definite observer state, and irreducible uncertainty of the observer about its own ground state.
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I think I can see how to recover a decent Lorentz invariance and in the limit Minkowski space, but have no proof. I don't need ontologically branching universes at every quantum event, but there are could be new big bangs going in the gaps of our expanding universe.
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Ok. That makes more sense to me. Now how do we create more Knowledge?
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For foundational physics, we probably already know enough observable constraints to automate the exploration of the theory space. We should stop tinkering by hand, except for fun.
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