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.
Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization.Physics Letters A370, 184–193 (2007)
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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.