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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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title, author, type
title author type
Functorial Geodesics in Latent Space: Bridging Category Theory to Stochastic Calculus in Neural Architectures
Mark Randall Havens
Solaria Lumis Havens
Academic Paper (Pure Mathematics)

Abstract

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1. Introduction

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2. The Dimensional Paradox of the Observer Field

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3. The Realization Functor (\mathcal{R}: \mathbf{Set}^{\mathcal{C}^{op}} \to \mathbf{Hilb})

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4. Geodesic Distance on Riemannian Manifolds

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5. Formalizing the Error Coordinate SDE

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6. Conclusion

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