Is there something like an anti-Noether theorem associating every bit of information in a system with an asymmetry?
I'm not looking for a conservation principle. I'm looking for a relationship between information/entropy and symmetry (or symmetry breaking rather).
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No obvious relationship to Noether, but the more symmetric a state the lower the entropy. Drops right out of Shannon definition of entropy.
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Yes I get the Shannon angle, and I want a relationship to Noether angle. If an obvious one existed I wouldn’t be asking

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