Physics & Spacearticle2026-09-22

Entropy as the geometric mean of partitioning: A pedagogical derivation from effective state counting

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Abstract

Using an effective state-counting approach, we show that entropy emerges as the logarithm of an effective number of states obtained from the weighted geometric mean of the inverse probabilities 1/pi.

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View paper (DOI)OpenAlexAmerican Journal of PhysicsPublished 2026-09-22

Authors: Kyongwan Kim, Gyeong-Pil Kwon, Jinho Lee

Institutions: Gyeongsang National University, Dankook University, Gyeongin National University of Education