We discuss the modifications of standard, extensive, thermodynamics that long-range interactions are expected to introduce. In addition to that, by using the generalized entropic form [Formula: see text] (q∈ℜq=1 corresponds to the standard entropy S 1 ≡−k B ∑ i p i ln p i ) we establish, through a simple identification, that S q =0 is equivalent to q=d f /d, where d f and d respectively are fractal and Euclidean dimensions.
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Constantino Tsallis (1995) studied this question.