{
  "created_at": "2026-10-11T12:27:41.501490+00:00",
  "experiment": "phase-complete-normal-coefficient-polarization",
  "sources": {
    "experiments/full-coefficient-checks.py": "9b84eebf80aaaf804c57b2a518f1ee43998581c7ac8e0cc01c6b982fd44806fe"
  },
  "exact_checks": 36,
  "checks": [
    "complete radial momentum equation",
    "weight zero positive solution",
    "weight one positive solution",
    "all weights convex form",
    "full coefficient time metric",
    "full coefficient radial metric",
    "full coefficient Killing norm",
    "complete determinant quadratic metric variation",
    "complete rotating-frame transverse energy",
    "active rotating phase radial determinant",
    "active stationary phase radial determinant",
    "d2 actual Spin shift ()",
    "d2 actual Spin shift (0, 1)",
    "d2 actual Spin shift (0, 2)",
    "d2 actual Spin shift (0, 3)",
    "d2 actual Spin shift (1, 2)",
    "d2 actual Spin shift (1, 3)",
    "d2 actual Spin shift (2, 3)",
    "d2 actual Spin shift (0, 1, 2, 3)",
    "d2 full chiral coefficient count",
    "d3 actual Spin shift ()",
    "d3 actual Spin shift (0, 1)",
    "d3 actual Spin shift (0, 2)",
    "d3 actual Spin shift (1, 2)",
    "d3 full chiral coefficient count",
    "d4 actual Spin shift ()",
    "d4 actual Spin shift (0, 1)",
    "d4 actual Spin shift (0, 2)",
    "d4 actual Spin shift (1, 2)",
    "d4 full chiral coefficient count",
    "d5 actual Spin shift ()",
    "d5 actual Spin shift (0, 1)",
    "d5 full chiral coefficient count",
    "d6 actual Spin shift ()",
    "d6 actual Spin shift (0, 1)",
    "d6 full chiral coefficient count"
  ],
  "cases": [
    {
      "depth": 2,
      "normal_rank": 4,
      "weights": [
        "0",
        "1",
        "1/2",
        "1/2",
        "1/2",
        "1/2",
        "0",
        "1"
      ],
      "zero_weight_complex_count": 2,
      "half_weight_complex_count": 4,
      "unit_weight_complex_count": 2
    },
    {
      "depth": 3,
      "normal_rank": 3,
      "weights": [
        "0",
        "1",
        "1/2",
        "1/2"
      ],
      "zero_weight_complex_count": 1,
      "half_weight_complex_count": 2,
      "unit_weight_complex_count": 1
    },
    {
      "depth": 4,
      "normal_rank": 3,
      "weights": [
        "0",
        "1",
        "1/2",
        "1/2"
      ],
      "zero_weight_complex_count": 1,
      "half_weight_complex_count": 2,
      "unit_weight_complex_count": 1
    },
    {
      "depth": 5,
      "normal_rank": 2,
      "weights": [
        "0",
        "1"
      ],
      "zero_weight_complex_count": 1,
      "half_weight_complex_count": 0,
      "unit_weight_complex_count": 1
    },
    {
      "depth": 6,
      "normal_rank": 2,
      "weights": [
        "0",
        "1"
      ],
      "zero_weight_complex_count": 1,
      "half_weight_complex_count": 0,
      "unit_weight_complex_count": 1
    },
    {
      "depth": 10,
      "normal_rank": 0,
      "weights": [
        "0"
      ],
      "status": "no-active-normal-generator"
    }
  ],
  "scope": "A fixed-norm normal-spinor-valued positive wave field with a selected combined phase/normal generator. The exact polarization positivity is conditional on a smooth monotone localized radial branch. No Lorentz Dirac kinetic law, observed spin, electric charge or discrete frequency selection is derived."
}