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Position and momentum are bad description of a quantum system precisely because they are not independent. This is not really a statement about physics, but about language. It just happens to apply to physics because the purpose of physics is to develop useful language. And we make a better description in this case by saying things like 'position-momentum', using an actual equation, or by using a different concept like energy or wave-vector. All of which are better than position and momentum alone.

The extrapolation here really has little to do with quantum physics. I am also using QM as an analogy for linguistics. The theme is about how language captures information and how information-processing systems select output based upon linguistic structure. It's a very young and poorly understood subject, so I don't think it's very likely to get good theoretical work in a forum like this. These are primitive times, after all.



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