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This paper reveals that diffusion models and flow matching are two sides of the same Wasserstein geometry: diffusion follows a free-energy gradient flow (initial-value problem), while flow matching follows a Wasserstein geodesic (boundary-value problem), and they are unified through the JKO scheme.
This paper proposes that quantum probability can be understood as a projection of contextual spacetime formation under finite-state requirements, reinterpreting interference and noncommutativity as mismatches from a fixed classical spacetime projection.
A Scientific American article recounts how a 17th-century gambling puzzle, the “problem of points,” led Pascal and Fermat to invent modern probability theory.