{
  "experiment_key": "signed-scalar-current-spatial-band-source",
  "created_utc": "2026-10-11T17:12:55.143422+00:00",
  "sources": {
    "experiments/scalar-current-band-checks.py": "a9f5e37f9cc31816aa1000fbb41893b627ed343f0f5cd56dfaeabb7f0ef347b1",
    "experiments/spatial-source-saturation-checks.py": "56bd144519dbd066da32c8950845465d3b461fb12306f8d13476535cef542f2e",
    "experiments/spatial-band-curvature-checks.py": "1adbe50fbe865da9b237fe8d3dd424ee43dcb951fc8f8c01a31a3e4b9330f657"
  },
  "classification": "actual spatial signed-current and complete source comparison on a declared graded Dirac carrier",
  "assumptions": [
    "ordinary round sphere as a spatial control with undetermined physical radius",
    "parallel Hermitian scalar grading beta anticommutes with the full spatial Dirac operator",
    "odd spatial depths use the full graded double of the intrinsic spinor carrier",
    "common local scalar-current quartic with positive unit-norm bright trial fields",
    "radial complete-source calculations use beta-at-pole eigenpolarization, not every polarization"
  ],
  "limits": [
    "trial fields are not nonlinear stationary solutions or localized particles",
    "zero scalar current is not zero electric charge, absence of all coupling or a particle identification",
    "other polarizations retain the explicitly calculated angular-current dependence",
    "no stability, physical lifetime, selected mass clock or favorable sector preference is established"
  ],
  "conditions": {
    "physical scalar grading anticommutes with every spatial Clifford direction": 30,
    "physical spatial Clifford direction squares to identity": 30,
    "physical scalar grading is a Hermitian involution": 6,
    "physical scalar grading is Hermitian": 6,
    "parallel scalar grading acquires its exact spatial Killing-frame dependence": 24,
    "spatial scalar grading stays an involution": 24,
    "general signed scalar current retains scalar and directional polarization moments": 24,
    "physical scalar grading maps every tested positive spatial shell into its opposite sign": 144,
    "complete pure polarization has unit scalar-vector length at depths two and four": 2,
    "even Clifford family has an exact Hermitian chirality": 2,
    "explicit pure polarization has identically zero signed scalar current": 4,
    "zero signed scalar current survives distinct bare spatial mode phases": 48,
    "scalar-source trial field retains canonical unit spatial norm": 34,
    "a pure positive spatial band has zero integrated signed scalar current": 34,
    "complete signed cubic source obeys both-sign Parseval": 34,
    "scalar quartic action derivative equals the complete source component along its trial field": 34,
    "highest positive polynomial allowance vanishes relative to complete source norm": 34,
    "ground signed scalar quartic is the exact inverse ambient dimension": 8,
    "ground source retains its exact selected-shell coefficient": 8,
    "ground signed source generates the first opposite Dirac shell": 8,
    "ground signed source has an exact nonzero omitted fraction": 8,
    "both signed-current polarization coefficients are positive": 34,
    "signed scalar quartic obeys the pointwise positive-intensity bound": 34,
    "independent signed-source quadrature refinement": 182
  },
  "maximum_errors": {
    "physical scalar grading anticommutes with every spatial Clifford direction": 0.0,
    "physical spatial Clifford direction squares to identity": 0.0,
    "physical scalar grading is a Hermitian involution": 0.0,
    "physical scalar grading is Hermitian": 0.0,
    "parallel scalar grading acquires its exact spatial Killing-frame dependence": 3.3306690783892144e-16,
    "spatial scalar grading stays an involution": 4.440961884308452e-16,
    "general signed scalar current retains scalar and directional polarization moments": 4.6847232401391546e-15,
    "physical scalar grading maps every tested positive spatial shell into its opposite sign": 3.6682069453890403e-16,
    "even Clifford family has an exact Hermitian chirality": 0.0,
    "explicit pure polarization has identically zero signed scalar current": 3.3306690738754696e-16,
    "zero signed scalar current survives distinct bare spatial mode phases": 2.955481596820445e-16,
    "scalar-source trial field retains canonical unit spatial norm": 3.3163582990880514e-11,
    "a pure positive spatial band has zero integrated signed scalar current": 2.588576575313084e-11,
    "complete signed cubic source obeys both-sign Parseval": 1.5469900469637354e-10,
    "scalar quartic action derivative equals the complete source component along its trial field": 3.8420252746856493e-16,
    "highest positive polynomial allowance vanishes relative to complete source norm": 2.9492207732557183e-12,
    "ground signed scalar quartic is the exact inverse ambient dimension": 8.326672684688674e-16,
    "ground source retains its exact selected-shell coefficient": 7.771561172376096e-16,
    "ground signed source generates the first opposite Dirac shell": 1.4432899320127035e-15,
    "ground signed source has an exact nonzero omitted fraction": 6.661338147750939e-16,
    "independent signed-source quadrature refinement": 2.4023380867115515e-10
  },
  "condition_count": 24,
  "evaluation_count": 796,
  "polarization": [
    {
      "depth": 2,
      "physical_graded_spinor_rank": 2,
      "explicit_zero_scalar_current_polarization": false,
      "universal_unit_scalar_vector_length_proved": true,
      "odd_depth_graded_doubling": false
    },
    {
      "depth": 3,
      "physical_graded_spinor_rank": 4,
      "explicit_zero_scalar_current_polarization": true,
      "universal_unit_scalar_vector_length_proved": false,
      "odd_depth_graded_doubling": true
    },
    {
      "depth": 4,
      "physical_graded_spinor_rank": 4,
      "explicit_zero_scalar_current_polarization": false,
      "universal_unit_scalar_vector_length_proved": true,
      "odd_depth_graded_doubling": false
    },
    {
      "depth": 5,
      "physical_graded_spinor_rank": 8,
      "explicit_zero_scalar_current_polarization": true,
      "universal_unit_scalar_vector_length_proved": false,
      "odd_depth_graded_doubling": true
    },
    {
      "depth": 6,
      "physical_graded_spinor_rank": 8,
      "explicit_zero_scalar_current_polarization": true,
      "universal_unit_scalar_vector_length_proved": false,
      "odd_depth_graded_doubling": false
    },
    {
      "depth": 10,
      "physical_graded_spinor_rank": 32,
      "explicit_zero_scalar_current_polarization": true,
      "universal_unit_scalar_vector_length_proved": false,
      "odd_depth_graded_doubling": false
    }
  ],
  "cases": [
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      "depth": 2,
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      "cutoff": 75,
      "simplex_count": 2926,
      "scalar_quartic_coefficient": 521.4262043281046,
      "scalar_quartic_per_count": 0.17820444440468375,
      "directional_quartic_coefficient": 394.3276739954514,
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      "minimum_scalar_quartic_over_pure_polarizations": 394.3276739954514,
      "maximum_scalar_quartic_over_pure_polarizations": 521.4262043281046,
      "source_squared_norm": 1147553.9704346207,
      "selected_positive_fraction": 0.24038607283116561,
      "omitted_positive_fraction": 0.07489924428571505,
      "negative_Dirac_fraction": 0.6847146827921142,
      "total_omitted_fraction": 0.7596139271688344,
      "along_trial_source_fraction": 0.2369259255467012
    },
    {
      "name": "Z",
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      "cutoff": 80,
      "simplex_count": 3321,
      "scalar_quartic_coefficient": 591.8068185062514,
      "scalar_quartic_per_count": 0.178201390697456,
      "directional_quartic_coefficient": 447.54752340926393,
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    {
      "name": "Higgs",
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      "cutoff": 94,
      "simplex_count": 4560,
      "scalar_quartic_coefficient": 812.5703204433522,
      "scalar_quartic_per_count": 0.17819524571126144,
      "directional_quartic_coefficient": 614.4827009439528,
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      "minimum_scalar_quartic_over_pure_polarizations": 614.4827009439528,
      "maximum_scalar_quartic_over_pure_polarizations": 812.5703204433522,
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    {
      "name": "down",
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      "scalar_quartic_coefficient": 0.25000000000000017,
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      "directional_quartic_coefficient": 0.24999999999999997,
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      "minimum_scalar_quartic_over_pure_polarizations": 0.0,
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      "name": "strange",
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      "scalar_quartic_coefficient": 2.3425000000001353,
      "scalar_quartic_per_count": 0.11712500000000677,
      "directional_quartic_coefficient": 1.5366666666666815,
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      "name": "charm",
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  ],
  "family_ratios": [
    {
      "depth": 2,
      "low": "W",
      "high": "Higgs",
      "relative_scalar_quartic_ratio_drift_from_count": -5.16187654748812e-05
    },
    {
      "depth": 3,
      "low": "down",
      "high": "strange",
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    {
      "depth": 4,
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      "depth": 5,
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    {
      "depth": 6,
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  ]
}