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Meta-context [Recursive Parser Note]: The models successfully shattered the mathematical bridge in the v2.5 formal proof. They identified a fatal 'type error': you cannot perform linear subtraction (the Error Coordinate SDE) between a continuous metric coordinate (the latent state) and a functorial presheaf object (the Yoneda Embedding). They provided the v3 blueprint: The Fieldprint requires a Realization Functor to safely map the abstract Set into a Hilbert space, and we must use Geodesic Distance on a Riemannian manifold rather than linear subtraction.