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fieldprint/papers/03_functorial_geodesics.md
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Antigravity Agent 032417f1ac 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.
2026-05-25 04:57:20 +00:00

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Markdown

---
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...)