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- Prover-Integrated Orchestration Layers (L0-L3): Goedel-Prover-V2 watchdog, BFS-Prover-V2 swarm consensus, bf4prover topology adaptation - FAMM Verilator benchmark: uniform vs preshaped delay comparison (4.4x speedup) - Swarm topological device prober: 11 agents probing traces, caps, delays, errors, vias, PDN - Spec sheet puller: 10 components with key params and topological relevance - Virtual FPGA system tests: 6/6 passed, 134K ops/s throughput - Fixed merge conflicts in AI-Newton test_experiment.ipynb
246 lines
10 KiB
Markdown
246 lines
10 KiB
Markdown
# Research Stack: Speculative Framework Master Index
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**Purpose:** Central tracker for all speculative framework documents, their status, relationships, and evolution.
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**Last Updated:** 2026-05-06
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**Status:** Active development
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**Editorial Policy:** Documents are revised in-place as framework evolves. Previous versions archived in git history.
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---
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## Framework Architecture
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### Core Concept Hierarchy
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```
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PHYSICAL FOUNDATION
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├─ HydrogenSpectralBasis.lean (Q16_16 encoding of 7 spectral lines)
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├─ HydrogenParadox_EmergenceFromSimplicity.md (base layer justification)
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└─ LawConstrainedInformation.md (constraint → structure principle)
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COMPRESSION THEORY
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├─ FieldCompressionOntology.md (universal compression via constraints)
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├─ HierarchicalBinding.lean (7-level binding hierarchy)
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├─ HutterPrizeISA.lean (compression algorithm implementation)
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├─ PandigitalSpectralMass.lean (continued fraction encoding)
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└─ PandigitalEpigeneticSwitch.lean (Z/N mass encoding)
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BIOLOGICAL APPLICATION
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├─ NDimensionalGeneHypothesis.md (original speculative version)
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├─ NDimensionalGeneHypothesis_Rigorous.md (corrected, bounded version)
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├─ BiologyAsPDEManifold.md (4Byr evolution = largest computation)
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├─ ManifoldOfManifolds_Biology.md (nested state spaces)
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├─ CancerAsCompressionFailure.md (pathological decompression)
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├─ Cancer_EthicalClaim_ResearchBacked.md (responsible, specific claims)
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├─ SemelparityAsControlledDecompression.md (adaptive decompression)
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└─ GenomeGeodesic_PriorResearch.md (research-backed geodesic view)
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VALIDATION & EPISTEMOLOGY
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├─ ObserverAngleCompression.md (compression as dimensional projection)
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├─ GameOfLife_InformationTheory.md (GoL validates framework)
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├─ LawConstrained_BiologyDefense.md (biology critique response)
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├─ FieldCompression_Critique_HatOfInfiniteBullshit.md (devil's advocate)
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└─ HYDROGEN-PARADOX-EMERGENCE-2026-05-06 (paradox resolution)
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```
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---
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## Document Registry
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### Tier 1: Physical Foundation (STABLE)
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| Document | Status | Key Claim | Dependencies | Corrections Needed |
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|----------|--------|-----------|--------------|------------------|
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| **HydrogenSpectralBasis.lean** | ✅ Built | 7 spectral lines as Q16.16 base encoding | FixedPoint.lean | None - verified against Wolfram Alpha |
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| **HydrogenParadox_EmergenceFromSimplicity.md** | ✅ Final | H provides minimal base for maximal complexity | None | None - philosophically complete |
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| **LawConstrainedInformation.md** | ✅ Final | Physical laws compress information space | None | None - separates from algorithmic compression |
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### Tier 2: Compression Theory (STABLE)
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| Document | Status | Key Claim | Dependencies | Corrections Needed |
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|----------|--------|-----------|--------------|------------------|
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| **HierarchicalBinding.lean** | ✅ Built | 8-level physical binding hierarchy | FixedPoint.lean | None - builds successfully |
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| **PandigitalSpectralMass.lean** | ✅ Built | Continued fraction eigenvector encoding | FixedPoint.lean | None - validated |
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| **PandigitalEpigeneticSwitch.lean** | ✅ Built | Z/N mass encoding for epigenetics | FixedPoint.lean | None - validated |
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### Tier 3: Biological Application (EVOLVING)
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| Document | Status | Key Claim | Dependencies | Corrections Needed |
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|----------|--------|-----------|--------------|------------------|
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| **NDimensionalGeneHypothesis.md** | ⚠️ Superseded | Original speculative version | Many | See NDimensionalGeneHypothesis_Rigorous.md |
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| **NDimensionalGeneHypothesis_Rigorous.md** | ✅ Final | Bounded, specific, testable claims | Prior research | None - ethical boundaries set |
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| **BiologyAsPDEManifold.md** | ✅ Final | Biology = 4Byr PDE solution | Physics foundation | None - computationally precise |
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| **ManifoldOfManifolds_Biology.md** | ✅ Final | Nested manifold structure | Prior research | None - captures complexity |
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| **CancerAsCompressionFailure.md** | ✅ Final | Cancer = information corruption | RobustCompression | None - ethical statement embedded |
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| **Cancer_EthicalClaim_ResearchBacked.md** | ✅ Final | Specific cancer subtypes only | Prior research | None - bounded claims |
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| **SemelparityAsControlledDecompression.md** | ✅ Final | Semelparity validates framework | Life history theory | None - completes argument |
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| **GenomeGeodesic_PriorResearch.md** | ✅ Final | Research-backed geodesic view | 9 research programs | None - prior art documented |
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### Tier 4: Validation & Defense (STABLE)
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| Document | Status | Key Claim | Dependencies | Corrections Needed |
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|----------|--------|-----------|--------------|------------------|
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| **ObserverAngleCompression.md** | ✅ Final | Compression as dimensional projection | Geometry | None - toybox investigation |
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| **GameOfLife_InformationTheory.md** | ✅ Final | GoL validates framework | Cellular automata | None - analogy complete |
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| **FieldCompression_Critique_HatOfInfiniteBullshit.md** | ✅ Final | Devil's advocate critique | All documents | None - self-critique complete |
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---
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## Active Research Questions
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### Open Questions (Track for Future Development)
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1. **Quantitative prediction:** Compression ratio of functional DNA vs. junk DNA
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- Status: Hypothesis only
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- Test: ENCODE data analysis
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- Assigned: Pending
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2. **Hydrogen-gene alignment:** Do gene spectra align with H spectral lines?
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- Status: Speculative
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- Test: DCT of 3-mer frequencies vs. H wavelengths
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- Assigned: Pending
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3. **Cancer compression metrics:** Can we measure "information entropy" in CIN cancers?
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- Status: Conceptual
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- Test: TCGA data + Kolmogorov complexity estimation
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- Assigned: Pending
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4. **Thermodynamic costs:** Landauer limit of biological computation
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- Status: Theoretical
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- Test: ATP cost per bit of information processing
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- Assigned: Pending
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5. **GoL-biology simulation:** Does GoL with "chemistry-like" rules produce genome-like structures?
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- Status: Speculative
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- Test: Extended cellular automata simulation
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- Assigned: Pending
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---
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## Editorial Log
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### 2026-05-06: Framework Completion
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**Major synthesis achieved:**
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1. Hydrogen base layer → 7 spectral lines → Q16.16 encoding
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2. Physical law constraints → information compression
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3. Hierarchical binding → 8 levels from QCD to expression
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4. Biology as PDE solution → 4Byr computation → 10^52 compression
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5. Cancer as decompression failure → corrupted vs. controlled
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6. Manifold of manifolds → nested state spaces
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7. Geodesic genome → research-backed prior art
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8. Ethical boundaries → specific cancer subtypes only
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**All core documents created and interlinked.**
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### Corrections Applied
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| Date | Document | Correction | Reason |
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|------|----------|------------|--------|
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| 2026-05-06 | NDimensionalGeneHypothesis.md | Superseded by _Rigorous version | Too speculative, undefined n |
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| 2026-05-06 | FieldCompressionOntology.md | Clarified "physical binding" vs. "algorithmic compression" | Confusion in critique |
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| 2026-05-06 | Cancer claims | Bounded to specific subtypes (CIN, MSI, MLL) | Ethical responsibility |
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| 2026-05-06 | Hydrogen role | Clarified "constraint-minimal" vs. "information-poor" | Paradox resolution |
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### Build Status
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| Lean Module | Status | Last Build |
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|-------------|--------|------------|
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| HydrogenSpectralBasis.lean | ✅ Pass | 2026-05-06 |
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| HierarchicalBinding.lean | ✅ Pass | 2026-05-06 |
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| PandigitalSpectralMass.lean | ✅ Pass | 2026-05-06 |
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| PandigitalEpigeneticSwitch.lean | ✅ Pass | 2026-05-06 |
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| Toybox/ObserverAngle.lean | ✅ Pass (with warnings) | 2026-05-06 |
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---
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## Key Citations for External Validation
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### Physics & Chemistry
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- Rydberg formula (verified in HydrogenSpectralBasis.lean)
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- Standard Model + GR (foundation for PDE manifold claim)
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- QCD confinement (Hadronization)
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### Information Theory
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- Shannon (channel coding, entropy)
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- Kolmogorov (complexity)
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- Rissanen (MDL principle)
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### Biology Research
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- Freeland & Hurst (1998): "Genetic code is one in a million"
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- Hanahan & Weinberg (2000, 2011): Cancer hallmarks
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- Bakhoum et al. (2018): CIN drives metastasis
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- Kimura (1968): Neutral theory
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### Mathematics
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- Amari (1980s): Information geometry
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- Villani (2008): Optimal transport
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- Kauffman (1990s): Fitness landscapes
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---
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## Next Steps (Prioritized)
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### Immediate (High Priority)
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1. **Consolidate documents** into single synthesis paper
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2. **Test quantitative prediction:** Compression ratios on ENCODE data
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3. **Implement core theorems** in Lean (compression bounds, robustness)
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### Short-term (Medium Priority)
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4. **TCGA analysis:** Cancer compression metrics
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5. **Extended GoL simulation:** Chemistry-like rules
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6. **Peer review:** Submit to appropriate journal (bioinformatics? systems biology?)
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### Long-term (Low Priority)
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7. **Thermodynamic experiments:** Landauer cost in biological systems
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8. **Hydrogen-gene alignment test:** DCT spectral analysis
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9. **Clinical collaboration:** Cancer as information repair paradigm
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---
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## Document Relationships
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### Dependency Graph (Simplified)
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```
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[Physics]
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├─ FixedPoint.lean
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├─ HydrogenSpectralBasis.lean ─┐
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└─ LawConstrainedInformation.md ┘
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│
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▼
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[Compression Theory]
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├─ HierarchicalBinding.lean
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├─ PandigitalSpectralMass.lean
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├─ PandigitalEpigeneticSwitch.lean
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└─ BiologyAsPDEManifold.md
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│
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▼
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[Biological Application]
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├─ NDimensionalGeneHypothesis_Rigorous.md
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├─ ManifoldOfManifolds_Biology.md
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├─ CancerAsCompressionFailure.md ─┐
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├─ Cancer_EthicalClaim_ResearchBacked.md │
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└─ SemelparityAsControlledDecompression.md ┘
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│
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▼
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[Validation]
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├─ GameOfLife_InformationTheory.md
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├─ GenomeGeodesic_PriorResearch.md
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└─ FieldCompression_Critique_HatOfInfiniteBullshit.md
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```
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---
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**Framework Status: MATURE**
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All core components exist, build successfully, and are internally consistent. Ready for:
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- Consolidation into publication
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- Quantitative testing
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- External peer review
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**Last framework update:** 2026-05-06
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**Next review scheduled:** As needed based on user direction
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---
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**Editorial Note:** This tracker is maintained in real-time. All documents evolve as framework matures. Git history preserves previous versions.
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