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titleChiral Ray and Ordinary Normal Rotation Kinetics
checks_passed340
scopeExact local geometric kinetic map on pure rays; no physical charge selection, particle state or absolute amplitude calibration
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{
  "title": "Chiral Ray and Ordinary Normal Rotation Kinetics",
  "checks_passed": 340,
  "cases": [
    {
      "case": "normal-ray-rank-2",
      "complex_normal_rank": 2,
      "ordinary_normal_directions": 4,
      "full_chiral_projective_real_dimension": 2,
      "pure_orientation_dimension": 2,
      "differential_rank_on_pure_orbit": 2,
      "pure_metric_to_fs_ratio": 16
    },
    {
      "case": "normal-ray-rank-3",
      "complex_normal_rank": 3,
      "ordinary_normal_directions": 6,
      "full_chiral_projective_real_dimension": 6,
      "pure_orientation_dimension": 6,
      "differential_rank_on_pure_orbit": 6,
      "pure_metric_to_fs_ratio": 16
    },
    {
      "case": "normal-ray-rank-4",
      "complex_normal_rank": 4,
      "ordinary_normal_directions": 8,
      "full_chiral_projective_real_dimension": 14,
      "pure_orientation_dimension": 12,
      "differential_rank_on_pure_orbit": 12,
      "pure_metric_to_fs_ratio": 16
    }
  ],
  "occupied_depths": [
    {
      "real_depth": 2,
      "even_carrier": 2,
      "complex_normal_rank": 4,
      "has_nontrivial_normal_orientation": true,
      "full_positive_chiral_ray_is_pure": false,
      "pure_metric_to_fs_ratio": 16,
      "caveat": "generic ray has two extra real directions"
    },
    {
      "real_depth": 3,
      "even_carrier": 4,
      "complex_normal_rank": 3,
      "has_nontrivial_normal_orientation": true,
      "full_positive_chiral_ray_is_pure": true,
      "pure_metric_to_fs_ratio": 16,
      "caveat": null
    },
    {
      "real_depth": 4,
      "even_carrier": 4,
      "complex_normal_rank": 3,
      "has_nontrivial_normal_orientation": true,
      "full_positive_chiral_ray_is_pure": true,
      "pure_metric_to_fs_ratio": 16,
      "caveat": null
    },
    {
      "real_depth": 5,
      "even_carrier": 6,
      "complex_normal_rank": 2,
      "has_nontrivial_normal_orientation": true,
      "full_positive_chiral_ray_is_pure": true,
      "pure_metric_to_fs_ratio": 16,
      "caveat": null
    },
    {
      "real_depth": 6,
      "even_carrier": 6,
      "complex_normal_rank": 2,
      "has_nontrivial_normal_orientation": true,
      "full_positive_chiral_ray_is_pure": true,
      "pure_metric_to_fs_ratio": 16,
      "caveat": null
    },
    {
      "real_depth": 10,
      "even_carrier": 10,
      "complex_normal_rank": 0,
      "has_nontrivial_normal_orientation": false,
      "full_positive_chiral_ray_is_pure": false,
      "pure_metric_to_fs_ratio": null,
      "caveat": "empty normal carrier"
    }
  ],
  "sources": {
    "experiments/normal-ray-metric-checks.py": "b5da18cd20d140d71924517df8de04c0dc4ae9457cbbe77c64f4aea182f7e5ed"
  },
  "scope": "Exact local geometric kinetic map on pure rays; no physical charge selection, particle state or absolute amplitude calibration"
}