A new free entropy χ_chron^U, built from chronological microstates, is geodesic-concave and makes free heat evolution the Wasserstein gradient flow of entropy.
Tracial non-commutative smooth functions and the free Wasserstein manifold.Dissertationes Mathematicae, 580:1–150
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A new free entropy χ_chron^U, built from chronological microstates, is geodesic-concave and makes free heat evolution the Wasserstein gradient flow of entropy.