{
  "experiment": "two-channel-tau-test",
  "created_utc": "2026-09-24T10:51:24.407745+00:00",
  "source_report": "experiments/results/light-tau-branch-batch-20260924T102749_642908Z.json",
  "identity": "(1+x/b^4)/((1+x)(1+x/C^4))=A/(1+x)+B/(1+x/C^4)",
  "conditional_action": "sum_i [D_i(R) q_i^2/2 - J_i q_i + beta_i q_i k] + F0(k); D_i=1+(R/L_i)^4, J_i=beta_i=sqrt(gamma*w_i)",
  "elimination": "F_eff=F0-gamma*sum(w_i/D_i)/2+gamma*sum(w_i/D_i)*k-gamma*sum(w_i/D_i)*k^2/2",
  "scope": "Exact positive-channel decomposition and necessary current-curvature and radial-stress tests. Channel stiffness powers, source amplitudes, direct current curvature, and stress-balancing field action are not derived from the master field; frequency stationary points alone are not complete energy stationary states.",
  "rows": [
    {
      "shape_b": 1.332,
      "outer_scale_C": 17.739664126636384,
      "short_weight": 0.6823318445165312,
      "long_weight": 0.31766815548346883,
      "states": {
        "inner": {
          "radius_over_reference": 1.1138193160406291,
          "dimensionless_gap": 115.89343191468673,
          "short_channel_fraction": 0.45827864574987803,
          "long_channel_fraction": 0.541721354250122,
          "gap_shape": 0.5863959694495405,
          "source_scale_gamma": 177.440642721178,
          "eliminated_background_energy_in_source_units": -52.02523885411736,
          "background_energy_derivative_over_radius_in_source_units": 51.90223381073446,
          "minimum_direct_current_curvature_in_source_units": 104.05047770823472
        },
        "intervening_frequency_maximum": {
          "radius_over_reference": 1.1959641421686895,
          "dimensionless_gap": 114.95180579493133,
          "short_channel_fraction": 0.41356460844402554,
          "long_channel_fraction": 0.5864353915559746,
          "gap_shape": 0.5416821661211032,
          "source_scale_gamma": 177.44064272117802,
          "eliminated_background_energy_in_source_units": -48.058215853564235,
          "background_energy_derivative_over_radius_in_source_units": 44.651564467987455,
          "minimum_direct_current_curvature_in_source_units": 96.11643170712847
        },
        "outer": {
          "radius_over_reference": 13.969213314028716,
          "dimensionless_gap": 568.7703423308858,
          "short_channel_fraction": 7.8088044462253e-05,
          "long_channel_fraction": 0.9999219119555377,
          "gap_shape": 0.2294625901658806,
          "source_scale_gamma": 177.4406427211779,
          "eliminated_background_energy_in_source_units": -20.357994739750048,
          "background_energy_derivative_over_radius_in_source_units": 1.6192792384339765,
          "minimum_direct_current_curvature_in_source_units": 40.715989479500095
        }
      }
    },
    {
      "shape_b": 1.34,
      "outer_scale_C": 18.0075313793418,
      "short_weight": 0.6898501181030451,
      "long_weight": 0.31014988189695497,
      "states": {
        "inner": {
          "radius_over_reference": 1.067214828960502,
          "dimensionless_gap": 116.63969767719243,
          "short_channel_fraction": 0.4919355557986984,
          "long_channel_fraction": 0.5080644442013018,
          "gap_shape": 0.6104462914718862,
          "source_scale_gamma": 179.03876542237558,
          "eliminated_background_energy_in_source_units": -54.64677519089708,
          "background_energy_derivative_over_radius_in_source_units": 56.89826522066184,
          "minimum_direct_current_curvature_in_source_units": 109.29355038179415
        },
        "intervening_frequency_maximum": {
          "radius_over_reference": 1.2556847440270593,
          "dimensionless_gap": 114.21277098527162,
          "short_channel_fraction": 0.3895158735385579,
          "long_channel_fraction": 0.6104841264614421,
          "gap_shape": 0.5080272126662141,
          "source_scale_gamma": 179.03876542237558,
          "eliminated_background_energy_in_source_units": -45.478282478364804,
          "background_energy_derivative_over_radius_in_source_units": 40.244915446127045,
          "minimum_direct_current_curvature_in_source_units": 90.95656495672961
        },
        "outer": {
          "radius_over_reference": 14.180171763582814,
          "dimensionless_gap": 568.7700493922678,
          "short_channel_fraction": 7.615700964689709e-05,
          "long_channel_fraction": 0.9999238429903532,
          "gap_shape": 0.224031018381879,
          "source_scale_gamma": 179.03876542237572,
          "eliminated_background_energy_in_source_units": -20.055118473704592,
          "background_energy_derivative_over_radius_in_source_units": 1.5714567741025585,
          "minimum_direct_current_curvature_in_source_units": 40.11023694740918
        }
      }
    },
    {
      "shape_b": 1.35,
      "outer_scale_C": 18.362250935906825,
      "short_weight": 0.6989379203097507,
      "long_weight": 0.30106207969024923,
      "states": {
        "inner": {
          "radius_over_reference": 1.0359452079046692,
          "dimensionless_gap": 117.28006762440596,
          "short_channel_fraction": 0.5189878036579528,
          "long_channel_fraction": 0.48101219634204684,
          "gap_shape": 0.6258864785816188,
          "source_scale_gamma": 180.88054280448475,
          "eliminated_background_energy_in_source_units": -56.60534298991534,
          "background_energy_derivative_over_radius_in_source_units": 60.71649081429197,
          "minimum_direct_current_curvature_in_source_units": 113.21068597983073
        },
        "intervening_frequency_maximum": {
          "radius_over_reference": 1.3032366994890776,
          "dimensionless_gap": 113.38088647634004,
          "short_channel_fraction": 0.3740778170837404,
          "long_channel_fraction": 0.6259221829162596,
          "gap_shape": 0.4809774264936713,
          "source_scale_gamma": 180.8805428044848,
          "eliminated_background_energy_in_source_units": -43.49972899043973,
          "background_energy_derivative_over_radius_in_source_units": 37.089525498708824,
          "minimum_direct_current_curvature_in_source_units": 86.99945798087946
        },
        "outer": {
          "radius_over_reference": 14.45953274694371,
          "dimensionless_gap": 568.7696497611335,
          "short_channel_fraction": 7.3522680088596e-05,
          "long_channel_fraction": 0.9999264773199112,
          "gap_shape": 0.21746546712570813,
          "source_scale_gamma": 180.88054280448455,
          "eliminated_background_energy_in_source_units": -19.667635867464433,
          "background_energy_derivative_over_radius_in_source_units": 1.5113205890679093,
          "minimum_direct_current_curvature_in_source_units": 39.33527173492888
        }
      }
    },
    {
      "shape_b": 1.36,
      "outer_scale_C": 18.733675779717487,
      "short_weight": 0.7076952790215028,
      "long_weight": 0.2923047209784972,
      "states": {
        "inner": {
          "radius_over_reference": 1.0138602020165897,
          "dimensionless_gap": 117.82342885051936,
          "short_channel_fraction": 0.5407020399662102,
          "long_channel_fraction": 0.45929796003378964,
          "gap_shape": 0.6364108679925131,
          "source_scale_gamma": 182.60639978448384,
          "eliminated_background_energy_in_source_units": -58.10634869391561,
          "background_energy_derivative_over_radius_in_source_units": 63.68413719125256,
          "minimum_direct_current_curvature_in_source_units": 116.21269738783123
        },
        "intervening_frequency_maximum": {
          "radius_over_reference": 1.3414847752956507,
          "dimensionless_gap": 112.50341167820521,
          "short_channel_fraction": 0.36355561362662614,
          "long_channel_fraction": 0.6364443863733739,
          "gap_shape": 0.4592656352679618,
          "source_scale_gamma": 182.60639978448384,
          "eliminated_background_energy_in_source_units": -41.93242210050819,
          "background_energy_derivative_over_radius_in_source_units": 34.73383271549878,
          "minimum_direct_current_curvature_in_source_units": 83.86484420101638
        },
        "outer": {
          "radius_over_reference": 14.752051375653341,
          "dimensionless_gap": 568.7692324369723,
          "short_channel_fraction": 7.077172459617298e-05,
          "long_channel_fraction": 0.9999292282754036,
          "gap_shape": 0.2111386230132233,
          "source_scale_gamma": 182.6063997844839,
          "eliminated_background_energy_in_source_units": -19.277631901949043,
          "background_energy_derivative_over_radius_in_source_units": 1.4519777662207234,
          "minimum_direct_current_curvature_in_source_units": 38.555263803898086
        }
      }
    }
  ],
  "sources": {
    "experiments/two-channel-tau-test.py": "0801379e27c9d71cb38110217c53acf095e559929e85c4a669cdc74fbf3d32c2",
    "experiments/results/light-tau-branch-batch-20260924T102749_642908Z.json": "f76f1eafaacb1214f4673ef0a491ddc921c50e713f26168fd986d32147301901"
  }
}
