A q-algebraic framework with dynamic scaling 1-q_n = O(n^{-1}) exactly absorbs third-order skewness and higher finite-size fluctuations in i.i.d. systems while preserving non-negative probabilities and matching Edgeworth asymptotic orders.
Mathematical structures derived from theq-multinomial coefficient in tsallis statistics
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Breakdown of Perturbative Expansions and Exact Algebraic Absorption of Finite-Size Fluctuations in Statistical Mechanics
A q-algebraic framework with dynamic scaling 1-q_n = O(n^{-1}) exactly absorbs third-order skewness and higher finite-size fluctuations in i.i.d. systems while preserving non-negative probabilities and matching Edgeworth asymptotic orders.