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A. van de Venn

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Preprint Sep 2026

Stochastic Processes as Non-Metric Geodesics in Information Geometry

It is shown that the work-minimizing optimal protocol in the slow-driving limit coincides precisely with an expectation geodesic of the statistical manifold with non-metricity equipped with $(g, {}^{(1/2)}\Gamma, {}^{(-1/2)}\Gamma)$, highlighting the active physical role of non-metricity in information geometry.

T. Koide, A. van de Venn · 0 citations

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