{
  "timestamp": "20260914T125458_161142Z",
  "scope": "Exact and complete-multiplet checks of the frozen polarization tail response.",
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  "results": [
    {
      "frequency": 1,
      "gap": 1,
      "binding": "3/2",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(2)",
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    {
      "frequency": 1,
      "gap": 1,
      "binding": "2",
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    },
    {
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      "gap": 1,
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      "metric": "1/9",
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      "squared_kernel_dimension": 2
    },
    {
      "frequency": 10,
      "gap": 1,
      "binding": "3/2",
      "metric": "1/9",
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      "squared_kernel_dimension": 2
    },
    {
      "frequency": 10,
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      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(3)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    },
    {
      "frequency": 10,
      "gap": 1,
      "binding": "3",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(5)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    },
    {
      "frequency": 18564,
      "gap": 1,
      "binding": "3/2",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(2)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    },
    {
      "frequency": 18564,
      "gap": 1,
      "binding": "2",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(3)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    },
    {
      "frequency": 18564,
      "gap": 1,
      "binding": "3",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(5)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    },
    {
      "frequency": 3838380,
      "gap": 1,
      "binding": "3/2",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(2)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    },
    {
      "frequency": 3838380,
      "gap": 1,
      "binding": "2",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(3)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    },
    {
      "frequency": 3838380,
      "gap": 1,
      "binding": "3",
      "metric": "1/9",
      "critical_transverse_wave_number": "sqrt(5)",
      "kernel_dimension": 1,
      "squared_kernel_dimension": 2
    }
  ],
  "sources": {
    "experiments/polarization_tail_checks.py": "9c58d85177927053f517a4b090d51342ed3c9733320c91621775fb5dfcacfad9",
    "experiments/polarization_tail_symbolic.py": "e0ae742ff140ec453895d3f9bbde78486bbfa91d5ef1e7f35b023d120b93d937",
    "experiments/polarization_frozen_response.py": "b1ed0a704674e74a6ed8fa73ce0601965285a4ddda4167cff653c89264b1528d",
    "experiments/polarization_bound_core.py": "b6428084852d678707e5dbc89ccbba03fb2415850a46d649694759890081e45c",
    "experiments/localized_current_model.py": "bea8db856f55959328e92d99c089ed26db3b35e717533c67a14c9444d5f1a2e4"
  },
  "raw_data": {
    "path": "polarization-tail-20260914T125458_161142Z.npz",
    "sha256": "5b1304d7fa35fb9f7b928855d6fcd84748a3646afadb41f2bdc2a6fe5cba06e7"
  },
  "limitation": "Frozen far-tail response; this is not a full localized-field nonlinear stability theorem."
}