Physics:Rényi Entropy Derived from Obidi's Theory of Entropicity(ToE): Revision history

6 October 2025

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5 October 2025

• curprev 22:5522:55, 5 October 2025‎ PHJOB7 talk contribs‎ 2,367 bytes +2,367‎ Created page with "== Rényi Entropy in the Theory of Entropicity (ToE) == == 1. Definition == The **Rényi entropy** of order \( \alpha \) for a discrete probability distribution \( P = \{p_1, p_2, \dots, p_n\} \) is defined as: <math> H_{\alpha}(P) = \frac{1}{1-\alpha} \, \log \left( \sum_{i=1}^n p_i^{\alpha} \right), \quad \alpha > 0, \, \alpha \neq 1. </math> This generalizes Shannon entropy, which is recovered in the limit: <math> \lim_{\alpha \to 1} H_{\alpha}(P) = - \sum_{i=1}^..."