The coupled entropy maximized by coupled stretched exponential distributions is the unique universal entropy satisfying the requirements to measure uncertainty at the informational scale with log-log slope -1 and extensivity across Hanel-Thurner universality classes.
Nonadditive entropy: The concept and its use.The European Physical Journal A40, 257 (2009)
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The FDD system yields analytical entropies matching the harmonic oscillator with effective frequency for the flat case, but requires numerical momentum-space analysis on curved space where Landau levels lose infinite degeneracy.
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The unique, universal entropy for complex systems
The coupled entropy maximized by coupled stretched exponential distributions is the unique universal entropy satisfying the requirements to measure uncertainty at the informational scale with log-log slope -1 and extensivity across Hanel-Thurner universality classes.
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The Fock-Darwin-Darboux system: eigenstates, information entropies and dispersion-like measures
The FDD system yields analytical entropies matching the harmonic oscillator with effective frequency for the flat case, but requires numerical momentum-space analysis on curved space where Landau levels lose infinite degeneracy.