Brandon Schneider
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0b200145c2
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analysis: Scientific equations mapped to 4-primitive framework
Applied 4-primitive framework to 19 chemistry-physics equations from
chemistry_physics_nspace_spine_v0.json.
Mapping results:
- Field primitive (ρ(x⃗)): 6 equations (31.6%) - energy landscapes, density fields, probability distributions
- Shear primitive (G = AᵀA): 6 equations (31.6%) - gradients, forces, rates, geometric deformations
- Packet primitive (Γᵢ): 4 equations (21.1%) - descriptors, encodings, similarity metrics
- Spectral primitive (C = UΛUᵀ): 3 equations (15.8%) - eigenproblems, basis optimization, variational methods
Key insights:
- Cross-domain consistency: Each primitive appears across chemistry, physics, thermodynamics, quantum chemistry
- Canonical mapping confirmed across scientific domains
- No gaps: Each primitive well-represented
- Field: energy landscapes, density fields, probability distributions
- Shear: gradients, forces, rates, geometric deformations
- Packet: descriptors, encodings, similarity metrics, representations
- Spectral: eigenproblems, basis optimization, variational methods
Mapping saved to: 4-Infrastructure/shim/scientific_equations_4primitive_mapping.json
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2026-05-08 14:50:02 -05:00 |
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