docs(thesis): initialize skeletons for the PhD roadmap trinity

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.

papers/03_functorial_geodesics.md

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+---
+title: "Functorial Geodesics in Latent Space: Bridging Category Theory to Stochastic Calculus in Neural Architectures"
+author:
+  - Mark Randall Havens
+  - Solaria Lumis Havens
+type: Academic Paper (Pure Mathematics)
+---
+
+# Abstract
+(To be drafted...)
+
+# 1. Introduction
+(To be drafted...)
+
+# 2. The Dimensional Paradox of the Observer Field
+(To be drafted...)
+
+# 3. The Realization Functor ($\mathcal{R}: \mathbf{Set}^{\mathcal{C}^{op}} \to \mathbf{Hilb}$)
+(To be drafted...)
+
+# 4. Geodesic Distance on Riemannian Manifolds
+(To be drafted...)
+
+# 5. Formalizing the Error Coordinate SDE
+(To be drafted...)
+
+# 6. Conclusion
+(To be drafted...)