Brandon Schneider
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b394d325c6
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ingest: Compactified core equations (12 → 4 primitives, 67% reduction)
Compactified 12 core equations to 4 primitives based on analysis (109/120
matches, 90.8% coverage maintained).
4 primitives:
1. Field primitive: ρ(x⃗) — derives Morse-Smale, radius_ratio,
residual_ratio, S3C shells
2. Shear primitive: G = A^T A — derives shear_matrix, FAMM delays,
eigen decomposition
3. Packet primitive: Γᵢ = γᵢ ⊗ χᵢ ⊗ κᵢ ⊗ τᵢ ⊗ UᵢΛᵢaᵢ ⊗ θᵢ ⊗ εᵢ —
includes gain test
4. Spectral primitive: C = UΛU^T — derives residual correlation,
eigen decomposition, spectral pruning
Redundancies resolved:
- shear_matrix + gram_matrix → shear primitive
- residual_correlation + eigen_decomposition → spectral primitive
- radius_ratio, residual_ratio derived from field primitive
Topological compactification: 10 theories = projections of 4D compact
manifold. Master synthesis = atlas covering all coordinate charts.
67% reduction (12 → 4) with 90.8% coverage maintained. Simplified
implementation, unified framework, topological clarity.
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2026-05-08 14:50:02 -05:00 |
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