{
  "experiment_key": "inverse-current-complete-frozen-local-symbol",
  "created_utc": "2026-10-11T23:14:00.359894+00:00",
  "sources": {
    "experiments/inverse-current-frozen-symbol.py": "a357e063e9bd378c7cab4fc77ec1f72028f6d12bfab6f2ea6631fc64334c2996",
    "experiments/inverse-current-ratio-checks.py": "187311466f3614b0babad95f5b0b68adf84b05f0f0cdad3037577f196b7c9d96",
    "experiments/local-current-ratio-checks.py": "f8d7e4df969ac84185848b1d9b1663dbfd876fc80461beb6228cfe4b1ba68040",
    "experiments/scalar-current-band-checks.py": "a9f5e37f9cc31816aa1000fbb41893b627ed343f0f5cd56dfaeabb7f0ef347b1",
    "experiments/spatial-source-saturation-checks.py": "56bd144519dbd066da32c8950845465d3b461fb12306f8d13476535cef542f2e",
    "experiments/spatial-band-curvature-checks.py": "1adbe50fbe865da9b237fe8d3dd424ee43dcb951fc8f8c01a31a3e4b9330f657"
  },
  "classification": "complete local coefficient-frozen dispersion diagnostic, not a full spatial eigenvalue calculation",
  "limits": [
    "actual spatial background and spin-connection derivatives are not part of the frozen symbol",
    "complex frozen frequencies do not by themselves prove a global spatial exponential eigenmode or decay",
    "the exact zero-wavevector growth is of the same scale as omitted spatial geometry and cannot be transferred to the actual sphere solution",
    "floating roots below 3e-7 in lambda units are unresolved; exact zero-wavevector formulas are reported separately",
    "the coupled matrix range is complete for this frozen symbol; its complement is self-adjoint and uncoupled"
  ],
  "condition_count": 13,
  "evaluation_count": 450,
  "floating_complex_root_resolution_over_lambda": 3e-07,
  "conditions": {
    "exact zero-wavevector squared-frequency trace retains the full current variation": 1,
    "exact zero-wavevector squared-frequency determinant has its stated negative sign": 1,
    "depth-two overlapping vector currents have their separate exact channel polynomial": 1,
    "retained real matrix range is exactly invariant under the frozen Dirac symbol": 20,
    "retained matrix range is exactly invariant under physical grading": 20,
    "every full local-current feedback source lies in the retained range": 111,
    "full current Hessian retains its Hermitian complex-linear part": 20,
    "full current Hessian retains its symmetric conjugate-linear part": 20,
    "complete frozen symbol retains the independently derived zero-wavevector current block": 20,
    "both Fourier wavevectors give the complete Hamiltonian frozen Hessian": 160,
    "exact frozen zero-wavevector current channel has a positive growth square": 14,
    "floating full frozen symbol agrees with the exact low-wavevector channel within its resolved precision": 14,
    "common physical rotation preserves the frozen growth spectrum": 48
  },
  "maximum_errors": {
    "retained real matrix range is exactly invariant under the frozen Dirac symbol": 6.685907507982089e-16,
    "retained matrix range is exactly invariant under physical grading": 6.923749123596109e-16,
    "every full local-current feedback source lies in the retained range": 1.165104724258359e-15,
    "full current Hessian retains its Hermitian complex-linear part": 6.31651289747672e-17,
    "full current Hessian retains its symmetric conjugate-linear part": 6.463902996119502e-17,
    "complete frozen symbol retains the independently derived zero-wavevector current block": 9.463152066775577e-16,
    "both Fourier wavevectors give the complete Hamiltonian frozen Hessian": 1.3298655731920178e-16,
    "floating full frozen symbol agrees with the exact low-wavevector channel within its resolved precision": 2.941432548011578e-09,
    "common physical rotation preserves the frozen growth spectrum": 1.1858731245332393e-07
  },
  "cases": [
    {
      "depth": 2,
      "axis": 0,
      "full_spinor_matrix_complex_dimension": 4,
      "retained_complex_dimension": 4,
      "signed_shell_occupation": 1.7811544239521027e-08,
      "scalar_feedback_factor": -0.0065789473684205735,
      "vector_feedback_factor": 0.9999999999999999,
      "lambda_over_inverse_radius": 4266895614.3267975,
      "probes": [
        {
          "dimensionless_wave_number": 0.0,
          "maximum_growth_over_lambda": 1.7811544239521023e-08,
          "maximum_frequency_over_lambda": 2.006568162179816,
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      ],
      "exact_zero_wavevector_growth_over_lambda": 1.7811544239521023e-08,
      "exact_zero_wavevector_growth_in_inverse_radius_units": 75.99999999999999,
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      "name": "Z",
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