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Comment by russdill

3 days ago

To go down this rabbit hole, the deeper question is about the vector in Hilbert space that represents the state of the universe. Is it infinite dimensional?

Yes, but that is not saying very much. Just one single harmonic oscillator already has a state space that is an infinitely dimensional Hilbert space. It is L^2. Now make a tensor product of NF * NP of these already infinitely dimensional Hilbert spaces defined above to get quite a bit more infinite.