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Physics
Quantum Physics
Quantum Interpretations and Foundations
A Heuristic View of QM: Axioms & Gleason's Theorem
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[QUOTE="Fra, post: 6865442, member: 76451"] I've been giving this alot of thought as awell, in the spirit of "physics from inference" from the perspective of an inside agent, and I agree the complexity is one weird thing, and another weird thing is what one needs to use uncountable numbers to index distinguishable events. But this is hard to discuss as it's always fuzzy. But to address the reason for complexity, my intuitive understanding of this is that it has todo with datacompression and stability of agents. The reason for the complex state, is that an agents optimal state of information needs a more efficient encoding. And we know fourier transform is used in datacompression(having nothing todo with QM per see), and for a good reason. And the conjugate spaces are essentially defined by the fourier transfom. So if you want in your state of information, statistical information about Q and P and the same time, you either up with with a complex number - or one could also consider several possible spaces, that are defined by relations. But the former way makes for a more compact notation! So I think the reason is both datacompression and stability of agents, and that the complex state space makes for an efficent notation for human physicists. imo, a generalisation of this gets us into various dualities principles where different theories in different spaces, can give the the same predictions on a common boundary. The difference lies more in efficiency of representation and computational complexlitry. Is my loose intutive view... pulled out of my "agent interpretation" /Fredrik [/QUOTE]
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Physics
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Quantum Interpretations and Foundations
A Heuristic View of QM: Axioms & Gleason's Theorem
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