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Generalized Gibbs Formula and the Duality of Energy and Probability in Models of Statistical Physics

Boris S. Nahapetian

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Source: Crossref

Published: Sep 30, 2026

DOI: 10.52737/18291163-2026.18.13-1-17

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Source abstract

In this paper, we define a generalized Gibbs formula based on the concept of transition energy. This formula establishes a duality between energy and probability. Using this duality, we derive properties of transition energy from known properties of probability.

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Generalized Gibbs Formula and the Duality of Energy and Probability in Models of Statistical Physics — Mathematical Frontier Network