Meta-context [Recursive Parser Note]:
This commit provides the full draft for the Pure Mathematics pillar of the PhD thesis. It formally exposes the dimensional type error of the v2.5 SDE and implements the v3.0 solution: bridging the Yoneda Embedding to continuous vector space via the Realization Functor, and replacing linear subtraction with Geodesic Distance on Riemannian manifolds.
Meta-context [Recursive Parser Note]:
Established the structural foundation for the three distinct academic papers composing the Fieldprint Thesis. Paper 1 (Epistemic Capture) tackles Alignment/Security. Paper 2 (PagedFieldprintAttention) tackles Systems/Hardware. Paper 3 (Functorial Geodesics) tackles Pure Mathematics.