{
  "model": "CREATIO as implemented in vectors-math.mjs; illustrative SI dimensions",
  "parameters": {
    "A_m": 0.18,
    "R0_m": 0.68,
    "deltaR_m": 1.72,
    "angularHarmonics": 6
  },
  "grid": {
    "derivative_points_per_step": 16524,
    "radial": 17,
    "angular": 36,
    "time": 9,
    "cases": 3,
    "regularity_points_per_gamma": 28224
  },
  "boundary_note": "Central differences evaluate the smooth analytical extension at R endpoints; alpha is periodic.",
  "convergence": [
    {
      "h": 0.01,
      "points": 16524,
      "max_cR_error": 0.0001461715998277067,
      "max_cAlpha_error_m": 0.0006895579827830859,
      "max_ct_error_m_s": 0.000004391650176195324
    },
    {
      "h": 0.003,
      "points": 16524,
      "max_cR_error": 0.000013156242815836594,
      "max_cAlpha_error_m": 0.00006207186364064473,
      "max_ct_error_m_s": 3.9525036731643447e-7
    },
    {
      "h": 0.001,
      "points": 16524,
      "max_cR_error": 0.0000014618126165883183,
      "max_cAlpha_error_m": 0.0000068969877397619035,
      "max_ct_error_m_s": 4.391681393750878e-8
    },
    {
      "h": 0.0003,
      "points": 16524,
      "max_cR_error": 1.3156336506837215e-7,
      "max_cAlpha_error_m": 6.207305406589548e-7,
      "max_ct_error_m_s": 3.952676317721594e-9
    },
    {
      "h": 0.0001,
      "points": 16524,
      "max_cR_error": 1.4618828811051709e-8,
      "max_cAlpha_error_m": 6.897209530870969e-8,
      "max_ct_error_m_s": 4.402100660805657e-10
    },
    {
      "h": 0.00001,
      "points": 16524,
      "max_cR_error": 1.5904903179074948e-10,
      "max_cAlpha_error_m": 7.399644051914301e-10,
      "max_ct_error_m_s": 5.055463579396718e-11
    },
    {
      "h": 0.000001,
      "points": 16524,
      "max_cR_error": 4.279435105146202e-10,
      "max_cAlpha_error_m": 5.829039333580738e-10,
      "max_ct_error_m_s": 6.152807049528258e-10
    },
    {
      "h": 1e-7,
      "points": 16524,
      "max_cR_error": 5.375788065185512e-9,
      "max_cAlpha_error_m": 9.002236165825343e-9,
      "max_ct_error_m_s": 5.8743494679732615e-9
    }
  ],
  "checks": {
    "maxNormalError": 3.3306690738754696e-16,
    "maxOrthogonalError": 2.176701073446376e-16,
    "minArea": 0.5525660727379965,
    "maxAreaIdentityError": 1.3322676295501878e-15,
    "maxPatternError": 7.949196856316121e-11
  },
  "regularity_proof": "J² = rho²(1+Wr²)+Wa²; for 0<=Gamma<=pi/2 and 0<=R<=1.72, rho>=0.68-0.18 sin(Gamma)>=0.50 m, hence J>=0.50 m. This proves local regularity, not global injectivity.",
  "pattern": {
    "duration_s": 120,
    "travel_deg": -360,
    "peak_speed_rad_s": 0.09817477042468103,
    "peak_speed_deg_s": 5.625
  },
  "scope": "Kinematic derivative verification only; not a validation of contact dynamics, actuators or aerospace performance."
}