032417f1ac
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.
645 B
645 B
title, author, type
| title | author | type | ||
|---|---|---|---|---|
| Functorial Geodesics in Latent Space: Bridging Category Theory to Stochastic Calculus in Neural Architectures |
|
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})
(To be drafted...)
4. Geodesic Distance on Riemannian Manifolds
(To be drafted...)
5. Formalizing the Error Coordinate SDE
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6. Conclusion
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