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      "absolute_error": 5.552046744112975e-13,
      "scaled_error": 5.552046744112975e-13,
      "tolerance": 2e-11
    },
    {
      "name": "epsilon=0.025 omega=3 decaying pole branch",
      "passed": true
    },
    {
      "name": "epsilon=0.025 omega=3 regulated homogeneous operator",
      "passed": true,
      "absolute_error": 5.770366316229656e-19,
      "scaled_error": 5.770366316229656e-19,
      "tolerance": 3e-12
    },
    {
      "name": "epsilon=0.025 omega=3 unregularized residual is i epsilon G",
      "passed": true,
      "absolute_error": 5.421010862427522e-20,
      "scaled_error": 5.421010862427522e-20,
      "tolerance": 3e-12
    },
    {
      "name": "epsilon=0.025 omega=3 regulated integrated unit source",
      "passed": true,
      "absolute_error": 5.572989603181806e-13,
      "scaled_error": 5.572989603181806e-13,
      "tolerance": 2e-11
    },
    {
      "name": "epsilon=0.00625 omega=3 decaying pole branch",
      "passed": true
    },
    {
      "name": "epsilon=0.00625 omega=3 regulated homogeneous operator",
      "passed": true,
      "absolute_error": 1.4448500003599598e-19,
      "scaled_error": 1.4448500003599598e-19,
      "tolerance": 3e-12
    },
    {
      "name": "epsilon=0.00625 omega=3 unregularized residual is i epsilon G",
      "passed": true,
      "absolute_error": 2.1726353818624857e-19,
      "scaled_error": 2.1726353818624857e-19,
      "tolerance": 3e-12
    },
    {
      "name": "epsilon=0.00625 omega=3 regulated integrated unit source",
      "passed": true,
      "absolute_error": 5.575389698756623e-13,
      "scaled_error": 5.575389698756623e-13,
      "tolerance": 2e-11
    },
    {
      "name": "epsilon=0.0015625 omega=3 decaying pole branch",
      "passed": true
    },
    {
      "name": "epsilon=0.0015625 omega=3 regulated homogeneous operator",
      "passed": true,
      "absolute_error": 3.613536671166786e-20,
      "scaled_error": 3.613536671166786e-20,
      "tolerance": 3e-12
    },
    {
      "name": "epsilon=0.0015625 omega=3 unregularized residual is i epsilon G",
      "passed": true,
      "absolute_error": 5.587850095852341e-20,
      "scaled_error": 5.587850095852341e-20,
      "tolerance": 3e-12
    },
    {
      "name": "epsilon=0.0015625 omega=3 regulated integrated unit source",
      "passed": true,
      "absolute_error": 5.575603698007935e-13,
      "scaled_error": 5.575603698007935e-13,
      "tolerance": 2e-11
    },
    {
      "name": "omega=3 epsilon approaches zero linearly",
      "passed": true,
      "observed_order": 0.9994517244827877
    }
  ],
  "configured_response_errors": {
    "retarded": 3.646774021648369e-09,
    "advanced": 3.6467721065136516e-09,
    "feynman": 3.6467740771595203e-09
  },
  "interpretation": [
    "All exported g kernels use unit delta source; D_F=-i*g_F has source -i delta.",
    "A temporal Fourier-mode experiment does not test full spacetime microcausality.",
    "The source is smooth and exactly compact in time; retarded/advanced ODE data vanish outside its support.",
    "Feynman response differs from retarded response by homogeneous boundary data, not a causal signal.",
    "Fixed fixture checks and configured output diagnostics are distinct; passing fixtures does not certify arbitrary quadrature accuracy.",
    "Quadrature panels and ODE time step are refined independently; output sample spacing is only for plotting.",
    "Finite epsilon inverts L-i epsilon; its nonzero unregularized off-source residual is expected.",
    "No particle probability, spatial Fourier cutoff, finite box, or interacting-background calculation is performed."
  ],
  "output_files": {
    "kernels": "/data/relativistic-qm/propagator-visualization/kernels.csv",
    "responses": "/data/relativistic-qm/propagator-visualization/responses.csv",
    "refinement": "/data/relativistic-qm/propagator-visualization/refinement.csv",
    "regularization": "/data/relativistic-qm/propagator-visualization/regularization.csv",
    "summary": "/data/relativistic-qm/propagator-visualization/summary.json"
  },
  "output_sha256": {
    "kernels": "4bbabe88ec4deea6796680aed09fbad2453e49832496de2bfeaf248a278f45ea",
    "responses": "61654440e7eb6a9eb46ce13a6a68c81771b5dcd2ce2910a4474cdb71319b274a",
    "refinement": "c30fd38ba6e6266061438662f7b8231bc931928cadad3f8090157e23a8acb5aa",
    "regularization": "c051d8a9ff95e8589084acaf57bc09b7ef52fa2c3366d26d28321e13bb9ad686"
  },
  "publication": {
    "normalization": "Absolute output locations replaced by site download paths; numerical results and CSV bytes unchanged.",
    "source_run_report_sha256": "64dcdce01e14c8c9eb35f3ac85d16722f64b90450fa190b614001db671e9e445",
    "public_program_sha256": "8dcb608138352d8dad001ec759aa45d5b4a222a68e330097dd381f904f3a1dcb"
  }
}