{
  "timestamp": "20260913T220533_796597Z",
  "scope": "Solve different target grades with one fixed action and background density.",
  "checks": [
    {
      "name": "18564.0: common background density",
      "error": 0.0,
      "tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "18564.0: canonical target norm",
      "error": 1.4707124407209449e-12,
      "tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "18564.0: full boundary equations",
      "error": 1.2037062152420224e-35,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "18564.0: scaled complete energy identity",
      "error": 1.5021599923962983e-19,
      "tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "3838380.0: common background density",
      "error": 0.0,
      "tolerance": 2e-14,
      "passed": true
    },
    {
      "name": "3838380.0: canonical target norm",
      "error": 1.3369305662536135e-12,
      "tolerance": 2e-08,
      "passed": true
    },
    {
      "name": "3838380.0: full boundary equations",
      "error": 4.373525355823806e-22,
      "tolerance": 2e-10,
      "passed": true
    },
    {
      "name": "3838380.0: scaled complete energy identity",
      "error": 2.2753066791780796e-15,
      "tolerance": 2e-08,
      "passed": true
    }
  ],
  "passed": true,
  "results": [
    {
      "frequency_base": 18564.0,
      "strength": 2.3390913560861904e-06,
      "inverse_background_density": 3.3937048483481314e-15,
      "detuning_parameter": -9.864720568776576e-08,
      "selected_frequency": 18563.999999999996,
      "relative_frequency_correction": -1.4312373877466895e-16,
      "norm": 0.9999999999985293,
      "rms": 1.276659355502228,
      "target_scalar_integral": 0.9999999999985293,
      "normal_norm_change_per_copy": -1.0000000002088665,
      "lower_target_norm": 6.43602285184745e-23,
      "maximum_residual_current": 0.5526168905073789,
      "residual": 1.9992201075518548e-10,
      "differential_residual": 4.274878229182377e-10,
      "boundary": 1.2037062152420224e-35,
      "nodes": 2490,
      "outer": 32.0,
      "tolerance": 2e-10,
      "energy": {
        "excess_energy": -18564.00000865033,
        "normal_norm_change_per_copy": -1.0000000002088905,
        "fixed_normal_phase_excess": 18563.99999910536,
        "integrated_normal_equation_form": 18563.99999997275,
        "independent_energy_identity_error": -8.673923730384558e-07,
        "normal_boundary_per_copy": 1.1980703590054772e-28,
        "target_kinetic": 2.119227816866545e-11,
        "binding_energy": -2.1192273389384885e-11,
        "normal_kinetic_per_copy": -4.672449601938702e-11,
        "target_phase_norm_identity_error": -3.637978807091713e-12,
        "selected_frequency": 18563.999999999996,
        "target_norm": 0.9999999999985324,
        "excess_minus_selected_frequency": -8.673923730384558e-07,
        "scaled_excess_above_base_frequency_norm": 3.667021469227741e-08,
        "scaled_excess_from_normal_equation": 3.667021469242763e-08,
        "scaled_energy_identity_error": -1.5021599923962983e-19,
        "scaled_excess_minus_selected_frequency_norm": 1.353174203798984e-07
      },
      "frequency_correction": -2.6569490866129544e-12
    },
    {
      "frequency_base": 3838380.0,
      "strength": 0.1,
      "inverse_background_density": 3.3937048483481314e-15,
      "detuning_parameter": -0.003356078431575718,
      "selected_frequency": 3838379.9999999995,
      "relative_frequency_correction": -1.1389539644675106e-16,
      "norm": 0.9999999999986631,
      "rms": 1.3038605217700578,
      "target_scalar_integral": 0.9999999999986631,
      "normal_norm_change_per_copy": -1.0000000002041811,
      "lower_target_norm": 1.9283683201910355e-18,
      "maximum_residual_current": 0.4600868137060099,
      "residual": 1.9997927703951008e-10,
      "differential_residual": 4.207719728199777e-10,
      "boundary": 4.373525355823806e-22,
      "nodes": 2530,
      "outer": 32.0,
      "tolerance": 2e-10,
      "energy": {
        "excess_energy": -3838380.0015207836,
        "normal_norm_change_per_copy": -1.0000000002038325,
        "fixed_normal_phase_excess": 3838380.0000439887,
        "integrated_normal_equation_form": 3838379.999994567,
        "independent_energy_identity_error": 4.942156374454498e-05,
        "normal_boundary_per_copy": -1.4986344381951169e-28,
        "target_kinetic": 3.621490654331419e-09,
        "binding_energy": -3.5918834127750684e-09,
        "normal_kinetic_per_copy": 1.287552602613416e-11,
        "target_phase_norm_identity_error": -4.656612873077393e-10,
        "selected_frequency": 3838379.9999999995,
        "target_norm": 0.9999999999985846,
        "excess_minus_selected_frequency": 4.942202940583229e-05,
        "scaled_excess_above_base_frequency_norm": 0.001432629156671969,
        "scaled_excess_from_normal_equation": 0.0014326291566696936,
        "scaled_energy_identity_error": 2.2753066791780796e-15,
        "scaled_excess_minus_selected_frequency_norm": 0.004788707588242937
      },
      "frequency_correction": -4.3717381181328037e-10
    }
  ],
  "parameters": {
    "binding_g": 7.875370789618523,
    "current_scale": 8.666050173502126e-06,
    "normal_phase": 2.0,
    "frequency_unit": 1.0,
    "background_density": 294663220488000.0
  },
  "comparison": "All compared branches have one common action, one continuum binding normalization, one fixed background density, and target canonical norm one. The ambient preparation and mode carrier remain inverse inputs.",
  "sources": {
    "matrix_core_family.py": "779177e15381b55bc3518c793feff044aebf477832cb28491b7ee428e867999b",
    "spatial_matrix_core.py": "706c5fd1d02fa6ed1e115651636fe50df0ae1c2a871771b503c9d98a05cfb858",
    "spatial_matrix_energy.py": "1d75a73acd56d4e53a1e6e2a29a041cea0e8b8007843b5799f03b7de579b88a1",
    "screened_core.py": "edff1ca16cad7ebb57056210b62a0973b9bb650e1dca7774fc150a9b61769a0e",
    "smooth_current_core.py": "f5d4f787f3f7e296adb4096f398896b9f8e07df8bc1e6b9b952934cc040157ef"
  },
  "raw_data": {
    "path": "matrix-core-family-20260913T220533_796597Z.npz",
    "sha256": "8c4892101d38c6af7fec9d588015796da6d51a6b94586c81a49d24fb596b571b"
  }
}