saturated-projective-response-refinement-20260912T114045_854317Z.json

{
  "timestamp": "2026-09-12T11:40:45.854448+00:00",
  "status": "stopped_after_completed_cases_to_track_resolved_frequency",
  "scope": "Independent radial response about a resolved smooth spatial field.\n\nThe stationary background and response cutoffs are distinct. A nonzero\ngrowth rate is checked with full differential residuals and refined bases.\nAbsence of radial growth does not establish full angular or nonlinear stability.\n",
  "background_case": {
    "degree": 34,
    "physical_depth": 6,
    "cutoff": 1400,
    "quadrature_order": 5900,
    "width": 0.001,
    "mass_scale": 206.76470588235293,
    "energy": 206.5600484877687,
    "frequency": 206.76411221419528,
    "canonical_norm": 1.0,
    "odd_norm": 1.7758126958455477e-06,
    "same_holomorphic_probe_visibility": 0.9999981206190738,
    "scalar_current_range": [
      4.487669567645039e-09,
      9.477901763866193
    ],
    "stationary_residual": 1.1573339890926103e-13,
    "differential_residual": 2.349764753570215e-09,
    "distance_from_previous_resolution": 2.9679974555729784e-11,
    "elapsed_seconds": 766.5872589750215,
    "continuation": [
      {
        "residual": 1.1573339890926103e-13,
        "evaluations": 11
      }
    ],
    "array_key": "case_006"
  },
  "background_report": "experiments/results/saturated-projective-continuation-20260912T105221_399299Z.json",
  "background_report_sha256": "20a53a0fadccd7b437f3be65a70d7565f504c540e5a1bbb26d1fd50719876e12",
  "background_data_sha256": "6d5388f40089112d7eb47d2ef24e586a149d389ae413750734fa93c8230389a2",
  "source_sha256": {
    "saturated_projective_response_refinement.py": "637c5e437e5db209a2770445dff3ed117ed34c075d3b841b2f030c92c595a23a",
    "projective_jacobi_basis.py": "584b8a5c0e83390890416d756a7c918b272ce37f860a669ee49f959d1e7f9ee5",
    "saturated_projective_fields.py": "b4be73bdcdc1c5ade301fd0982f727b466ada2fb83d5a9416a230847387a6022",
    "cp3_scalar_dirac.py": "4b7477054fedd1aa14c1aba0eb67410ef8d5192c8943a0a8317f4df73ccb2d6d"
  },
  "raw_data": "experiments/results/saturated-projective-response-refinement-20260912T114045_854317Z.npz",
  "cases": [
    {
      "response_cutoff": 1100,
      "quadrature_order": 9500,
      "phase_projection_defect": 1.3225928086083265e-09,
      "modes": [
        {
          "exponent": [
            0.022946955528615698,
            463.2213274390601
          ],
          "compressed_residual": 8.179085905896843e-12,
          "differential_residual": 0.0008788880950456377,
          "array_prefix": "cutoff_1100_mode_0"
        },
        {
          "exponent": [
            0.022946955528615698,
            -463.2213274390601
          ],
          "compressed_residual": 8.179085905896843e-12,
          "differential_residual": 0.0008788880950456377,
          "array_prefix": "cutoff_1100_mode_1"
        }
      ],
      "maximum_growth": 0.022946955528615698,
      "elapsed_seconds": 52.33293379913084
    },
    {
      "response_cutoff": 1500,
      "quadrature_order": 9500,
      "phase_projection_defect": 2.279715424101724e-09,
      "modes": [
        {
          "exponent": [
            0.02294695561282112,
            463.221327439213
          ],
          "compressed_residual": 1.5940019193392552e-11,
          "differential_residual": 8.988068452727084e-06,
          "array_prefix": "cutoff_1500_mode_0"
        },
        {
          "exponent": [
            0.02294695561282112,
            -463.221327439213
          ],
          "compressed_residual": 1.5940019193392552e-11,
          "differential_residual": 8.988068452727084e-06,
          "array_prefix": "cutoff_1500_mode_1"
        }
      ],
      "maximum_growth": 0.02294695561282112,
      "elapsed_seconds": 112.37381209200248
    },
    {
      "response_cutoff": 1900,
      "quadrature_order": 9500,
      "phase_projection_defect": 2.3287592560626316e-09,
      "modes": [
        {
          "exponent": [
            0.06591241291951709,
            -3605.3848771577937
          ],
          "compressed_residual": 3.311787773022986e-11,
          "differential_residual": 18.095939764367344,
          "array_prefix": "cutoff_1900_mode_0"
        },
        {
          "exponent": [
            0.06591241291951709,
            3605.3848771577937
          ],
          "compressed_residual": 3.311787773022986e-11,
          "differential_residual": 18.095939764367344,
          "array_prefix": "cutoff_1900_mode_1"
        }
      ],
      "maximum_growth": 0.06591241291951709,
      "elapsed_seconds": 218.75714476802386
    }
  ],
  "elapsed_seconds": 403.0608605318703,
  "stop_reason": "At cutoff 1900 the largest apparent growth moved to a poorly resolved high-frequency mode. Completed cases are preserved; a separate shift-invert calculation tracks the previously converging oscillation near 463.22132744.",
  "original_background_report_sha256": "9894d389a0adff2503add939c008a0e0a6e7200427b893dc2c26e4031084da0f",
  "dataset": {
    "path": "experiments/results/saturated-projective-response-refinement-20260912T114045_854317Z.npz",
    "sha256": "c834ed2b6a21d80ba7edf3e9a2c9fd00f7f95155a4044987524f05031429a911"
  },
  "publication_provenance": {
    "original_report_sha256": "bd92a40564ecebbd8ab21f149179850ec0df0250b8f01664e021648d4bef5496",
    "changes": "Local file locations are replaced with portable artifact references. Calculation values and source-code fingerprints are unchanged."
  }
}