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
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