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Unifying framework that connects ALL session findings under one algebraic roof: Number theory: prime → irreducible reaction → eigenvalue Composite → composed reaction network → full matrix Factorization → decomposition into primitives → eigendecomposition Unique factorization → canonical decomposition → spectral theorem p-adic valuation → reaction-prime exponent → eigenvalue multiplicity Three formulations: 1. Reaction algebra (generators of free monoid, hachimoji bases) 2. Information primes (minimal representatives of equivalence classes) 3. Category theory (indecomposable morphisms) Conservation law = information-theoretic FTA: Σ prime_i × exponent_i ≥ K(data) The SAME law, whether stated as compression, number theory, Lagrangian, or measurement. Prime factorization is the universal algebraic structure. Pipeline = prime factorization engine: - Encoder = word in prime algebra - QR/O-AMMR = spectral prime decomposition - GCCL = canonical form verification - CRT = coprime prime reconstruction - Char-poly = prime spectrum receipt Well-posed questions: 1. Does every DNA computation factor into reaction-primes? 2. Is the factorization unique? 3. What is the prime spectrum of a DNA program? 4. Can programs be distinguished by prime spectra? 5. Minimum primes for NP properties? 6. Super-polynomial prime decompositions → P ≠ NP? Avoids linguistic semantic primes controversy. Grounded in algebra, information, and category theory. Connects to everything. |
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| .. | ||
| adversarial_review | ||
| build_logs | ||
| concept_map | ||
| diagrams | ||
| first_principles | ||
| fundamental_math | ||
| refactor | ||
| research | ||
| reviews | ||
| ARCHITECTURE.md | ||
| CLAIMS_STATUS.md | ||
| cmix_epigenetic_analysis.md | ||
| FIX_DESIGN.md | ||
| generate_porting_candidates.py | ||
| generate_project_map.py | ||
| generate_research_stack_usage_map.py | ||
| GLOSSARY.md | ||
| GLOSSARY_ALLOWLIST.md | ||
| GOORMAGHTIGH_SPECTRAL.md | ||
| gw_compression_honest_result.md | ||
| PROJECT_MAP.json | ||
| PROJECT_MAP.md | ||
| research_stack_usage_graph_thumb.png | ||
| review_findings.md | ||
| SPECTRAL_CODEBOOK_ANALYSIS.md | ||
| SPECTRAL_CODEBOOK_GENERATOR.md | ||
| THEOREM_STACK.md | ||
| weird_machine_conservation_law.md | ||
