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2026
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| On-line přístup: | https://doi.org/10.5281/zenodo.19829498 |
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| _version_ | 1866901829134057472 |
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| author | Dunn, James E. |
| author_facet | Dunn, James E. |
| contents | <p><strong>Document 1 of 4 in the HLDP K₄ Governance Loop.</strong> Published as a coordinated drop 2026-04-27. The four documents form a closed mutual-citation graph (each cites the other three) with one apex Principal-of-Principles. Companion: HLRP #158 Synthesis Ledger v6 (10.5281/zenodo.19829505).</p> <p><strong>The four documents in reading sequence:</strong></p> <ol> <li><em>IE Operator Hierarchy</em> (Principal-of-Principles, apex) — 10.5281/zenodo.19829498</li> <li><em>Math Companion</em> (formal apparatus) — 10.5281/zenodo.19829500</li> <li><em>Synthesis Citation Index (SCI)</em> (corpus dependency graph) — 10.5281/zenodo.19829504</li> <li><em>Capstone — HLDP Doppler Radar</em> (synthesis vantage; cancer apex) — 10.5281/zenodo.19807751</li> </ol> <p><strong>This document:</strong> <strong>Document 1 — Principal-of-Principles (apex).</strong> Extends HLRP #152 from a 7-substrate closed loop to a 25-class three-layer operator hierarchy: Layer 1 substrate-attractor basins (IE-001 → IE-007), Layer 2 meta-operators (IE-008 → IE-017), Layer 3 diagnostics (IE-018 → IE-025). The unified operator-stack equation is the framework's falsifiable claim. Three Layer-3 operators (IE-019 Residual, IE-021 Causality, IE-022 Metastability) are immediately empirically testable; IE-022 backtests on PhysioNet AFib data with predicted κ-spike 30–60s pre-fibrillation. φ-recursion identity confirmed by HLRP #13.2's λ₂(β=1) = 1/φ² exact closure places the IE recursion form at golden-ratio anchor.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19829498 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The IE Operator Hierarchy: Formalizing the IE-001 → IE-025 Three-Layer Architecture for the Hydrogen Lifecycle Doppler Programme Dunn, James E. Geometric Coupling Theory GCT HLRP HLDP IE operator hierarchy three-layer architecture operator-stack equation Principal-of-Principles K4 governance loop phi-recursion identity IE-022 metastability Hessian eigenvalue PhysioNet AFib falsification posture <p><strong>Document 1 of 4 in the HLDP K₄ Governance Loop.</strong> Published as a coordinated drop 2026-04-27. The four documents form a closed mutual-citation graph (each cites the other three) with one apex Principal-of-Principles. Companion: HLRP #158 Synthesis Ledger v6 (10.5281/zenodo.19829505).</p> <p><strong>The four documents in reading sequence:</strong></p> <ol> <li><em>IE Operator Hierarchy</em> (Principal-of-Principles, apex) — 10.5281/zenodo.19829498</li> <li><em>Math Companion</em> (formal apparatus) — 10.5281/zenodo.19829500</li> <li><em>Synthesis Citation Index (SCI)</em> (corpus dependency graph) — 10.5281/zenodo.19829504</li> <li><em>Capstone — HLDP Doppler Radar</em> (synthesis vantage; cancer apex) — 10.5281/zenodo.19807751</li> </ol> <p><strong>This document:</strong> <strong>Document 1 — Principal-of-Principles (apex).</strong> Extends HLRP #152 from a 7-substrate closed loop to a 25-class three-layer operator hierarchy: Layer 1 substrate-attractor basins (IE-001 → IE-007), Layer 2 meta-operators (IE-008 → IE-017), Layer 3 diagnostics (IE-018 → IE-025). The unified operator-stack equation is the framework's falsifiable claim. Three Layer-3 operators (IE-019 Residual, IE-021 Causality, IE-022 Metastability) are immediately empirically testable; IE-022 backtests on PhysioNet AFib data with predicted κ-spike 30–60s pre-fibrillation. φ-recursion identity confirmed by HLRP #13.2's λ₂(β=1) = 1/φ² exact closure places the IE recursion form at golden-ratio anchor.</p> |
| title | The IE Operator Hierarchy: Formalizing the IE-001 → IE-025 Three-Layer Architecture for the Hydrogen Lifecycle Doppler Programme |
| topic | Geometric Coupling Theory GCT HLRP HLDP IE operator hierarchy three-layer architecture operator-stack equation Principal-of-Principles K4 governance loop phi-recursion identity IE-022 metastability Hessian eigenvalue PhysioNet AFib falsification posture |
| url | https://doi.org/10.5281/zenodo.19829498 |