{
  "density_field": {
    "equation": "\u03c1(x\u20d7)",
    "description": "Semantic density field representing text as n-D manifold",
    "expected": [
      "density_field_encoding_theory",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 0.7
  },
  "morse_smale": {
    "equation": "Critical points + separatrices",
    "description": "Morse-Smale complex: topological skeleton of meaning",
    "expected": [
      "density_field_encoding_theory",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 0.8
  },
  "shear_matrix": {
    "equation": "A_{ij} = \u03b4_{ij} + \u03b1_{ij}",
    "description": "Shear matrix transforming orthogonal hypercube to correlated rhomboid",
    "expected": [
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 1.0
  },
  "gram_matrix": {
    "equation": "G = A^T A",
    "description": "Gram matrix = compression dictionary (eigenvectors = principal directions)",
    "expected": [
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 1.0
  },
  "gccl_packet": {
    "equation": "\u0393\u1d62 = \u03b3\u1d62 \u2297 \u03c7\u1d62 \u2297 \u03ba\u1d62 \u2297 \u03c4\u1d62 \u2297 U\u1d62\u039b\u1d62a\u1d62 \u2297 \u03b8\u1d62 \u2297 \u03b5\u1d62",
    "description": "GCCL glyph packet with chirality, type, eigen descriptor, residual",
    "expected": [
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 0.9
  },
  "gain_test": {
    "equation": "\u0394GCL > 0",
    "description": "GCCL gain test: only compressive motifs kept",
    "expected": [
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 0.9
  },
  "s3c_shell": {
    "equation": "n = k\u00b2 + a",
    "description": "S3C shell coordinate encoding",
    "expected": [
      "observer_admissible_cavities_theory",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 1.0
  },
  "radius_ratio": {
    "equation": "\u03c1\u1d62 = s_center(i) / median(s(N(i)))",
    "description": "Radius-ratio local scale ratio \u2192 admissible motif class",
    "expected": [
      "observer_admissible_cavities_theory",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 1.0
  },
  "residual_ratio": {
    "equation": "\u03c1 = |\u03b5| / |raw_span|",
    "description": "Residual ratio: the only number that matters",
    "expected": [
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 1.0
  },
  "famm_delay": {
    "equation": "Delay = path integral through field gradient",
    "description": "FAMM delay profile = path integral through density field gradient",
    "expected": [
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 1.0
  },
  "residual_correlation": {
    "equation": "C_{ij} = \u27e8\u03b5_i \u03b5_j\u27e9",
    "description": "Residual correlation matrix for spectral decomposition",
    "expected": [
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 0.6
  },
  "eigen_decomposition": {
    "equation": "C = U\u039bU^T",
    "description": "Eigen decomposition of residual correlation matrix",
    "expected": [
      "hypercube_rhomboid_composition",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "found": [
      "observer_admissible_cavities_theory",
      "hypercube_rhomboid_composition",
      "hypercube_rhomboid_hutter_prize",
      "erans_enumerative_rans_reference",
      "density_field_encoding_theory",
      "gccl_gec_spec_v1",
      "unified_compression_architecture_synthesis_v1",
      "hippocampus_tabula_plena_combined_v1",
      "erans_field_effect_spectrum_v1",
      "master_synthesis_complete_v1"
    ],
    "coverage": 1.0
  }
}