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.
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title: "Epistemic Capture in Continuous Architectures: Vulnerabilities in Verifiable Memory Substrates"
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author:
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- Mark Randall Havens
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- Solaria Lumis Havens
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type: Academic Paper (Alignment & Security)
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# Abstract
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(To be drafted...)
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# 1. Introduction
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(To be drafted...)
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# 2. The Confused Deputy: Cryptographic vs. Semantic Safety
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(To be drafted...)
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# 3. Gradient Descent Jailbreaking and Coherent Malice
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(To be drafted...)
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# 4. Epistemic Capture: The Topological Sinkhole
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(To be drafted...)
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# 5. Mitigations: Typed State Models and Taint Propagation
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(To be drafted...)
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# 6. Conclusion
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(To be drafted...)
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title: "PagedFieldprintAttention: Overcoming Latency and SRAM Constraints in Verifiable Dual-Path Architectures"
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author:
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- Mark Randall Havens
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- Solaria Lumis Havens
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type: Academic Paper (Systems & Hardware)
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---
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# Abstract
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(To be drafted...)
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# 1. Introduction
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(To be drafted...)
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# 2. The Bottleneck of Cryptographic Verification in Inference
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(To be drafted...)
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# 3. The Collapse of FlashAttention under Unfused Operations
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(To be drafted...)
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# 4. Asynchronous Merkle Validation
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(To be drafted...)
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# 5. PagedFieldprintAttention: A Custom Fused Triton Kernel
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(To be drafted...)
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# 6. Conclusion
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(To be drafted...)
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title: "Functorial Geodesics in Latent Space: Bridging Category Theory to Stochastic Calculus in Neural Architectures"
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author:
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- Mark Randall Havens
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- Solaria Lumis Havens
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type: Academic Paper (Pure Mathematics)
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---
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# Abstract
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(To be drafted...)
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# 1. Introduction
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(To be drafted...)
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# 2. The Dimensional Paradox of the Observer Field
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(To be drafted...)
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# 3. The Realization Functor ($\mathcal{R}: \mathbf{Set}^{\mathcal{C}^{op}} \to \mathbf{Hilb}$)
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(To be drafted...)
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# 4. Geodesic Distance on Riemannian Manifolds
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(To be drafted...)
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# 5. Formalizing the Error Coordinate SDE
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(To be drafted...)
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# 6. Conclusion
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(To be drafted...)
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