{
  "config": {
    "dim": 64,
    "epsilon": 0.02,
    "base_step_scale": 0.06,
    "lambda_h": 180.0,
    "wormhole_step_scale": 0.25,
    "verify_tolerance": 0.08,
    "traversable_mu": 0.03,
    "shock_energy": 0.04,
    "epsilon_final": 0.001,
    "base_step_scale_final": 0.04,
    "lambda_h_final": 260.0,
    "wormhole_step_scale_final": 0.18,
    "verify_tolerance_final": 0.045,
    "traversable_mu_final": 0.05,
    "shock_energy_final": 0.06,
    "warmup_steps": 200,
    "steps": 500,
    "horizon_steps": 40,
    "soft_rank": 8,
    "wormhole_budget_fraction": 0.1,
    "lambda_c": 12.0,
    "debt_repay_rate": 0.03,
    "max_packets": 72,
    "traversable_window": 4,
    "hp_message_bits": 3,
    "hp_message_magnitude": 0.26,
    "hp_scramble_wait": 5,
    "hp_decode_packets": 6,
    "budget_total": 1.0
  },
  "experiments": {
    "lensing": [
      {
        "strength": 160.0,
        "offset": 0.0,
        "deflection_angle": 1.406643506265171,
        "straight_angle": 1.1552413229674934,
        "packets": 72,
        "expected_angle": 1.570733826794978,
        "curvature_number": 16000.0
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      {
        "strength": 160.0,
        "offset": 0.01,
        "deflection_angle": 2.327085514851941,
        "straight_angle": 2.3215987098608912,
        "packets": 72,
        "expected_angle": 1.5706713267955477,
        "curvature_number": 8000.0
      },
      {
        "strength": 160.0,
        "offset": 0.02,
        "deflection_angle": 1.8689341279869953,
        "straight_angle": 0.9230578810525293,
        "packets": 72,
        "expected_angle": 1.570608826797094,
        "curvature_number": 5333.333333333334
      },
      {
        "strength": 200.0,
        "offset": 0.0,
        "deflection_angle": 1.4788402760481585,
        "straight_angle": 1.0845292157012307,
        "packets": 72,
        "expected_angle": 1.5707463267949382,
        "curvature_number": 20000.0
      },
      {
        "strength": 200.0,
        "offset": 0.01,
        "deflection_angle": 2.345820702830563,
        "straight_angle": 2.3396232365494445,
        "packets": 72,
        "expected_angle": 1.5706963267952299,
        "curvature_number": 10000.0
      },
      {
        "strength": 200.0,
        "offset": 0.02,
        "deflection_angle": 1.823477695670539,
        "straight_angle": 1.0850057565211664,
        "packets": 72,
        "expected_angle": 1.5706463267960216,
        "curvature_number": 6666.666666666667
      },
      {
        "strength": 240.0,
        "offset": 0.0,
        "deflection_angle": 1.5567891752788208,
        "straight_angle": 1.0080377965275185,
        "packets": 72,
        "expected_angle": 1.570754660128254,
        "curvature_number": 24000.0
      },
      {
        "strength": 240.0,
        "offset": 0.01,
        "deflection_angle": 2.366124487742227,
        "straight_angle": 2.359294224829165,
        "packets": 72,
        "expected_angle": 1.570712993461756,
        "curvature_number": 12000.0
      },
      {
        "strength": 240.0,
        "offset": 0.02,
        "deflection_angle": 1.7308744872608002,
        "straight_angle": 1.3344302645755701,
        "packets": 72,
        "expected_angle": 1.5706713267955477,
        "curvature_number": 8000.0
      }
    ],
    "hawking": [
      {
        "strength": 160.0,
        "isolation_steps": 200,
        "leakage_rate": 2.8288348704680078e-05,
        "residual_norm": 0.005629381392231335,
        "decay_factor": 0.2865047968601901
      },
      {
        "strength": 160.0,
        "isolation_steps": 400,
        "leakage_rate": 7.021773718677402e-05,
        "residual_norm": 0.028016877137522832,
        "decay_factor": 0.0820849986238988
      },
      {
        "strength": 220.0,
        "isolation_steps": 200,
        "leakage_rate": 1.137730077932784e-05,
        "residual_norm": 0.0022640828550862403,
        "decay_factor": 0.402890321529133
      },
      {
        "strength": 220.0,
        "isolation_steps": 400,
        "leakage_rate": 5.289729778473198e-05,
        "residual_norm": 0.02110602181610806,
        "decay_factor": 0.16232061118184818
      }
    ],
    "frame_dragging": [
      {
        "angular_momentum": 0.02,
        "radius": 1.0,
        "mean_rotation_rate": 0.0007247317160578496,
        "max_rotation_rate": 0.0023412259601087106,
        "expected_mean_rate": 0.02,
        "expected_max_rate": 0.06
      },
      {
        "angular_momentum": 0.02,
        "radius": 2.0,
        "mean_rotation_rate": 9.05914645072312e-05,
        "max_rotation_rate": 0.0002926532450135888,
        "expected_mean_rate": 0.0025,
        "expected_max_rate": 0.0075
      },
      {
        "angular_momentum": 0.05,
        "radius": 1.0,
        "mean_rotation_rate": 0.00180384559333475,
        "max_rotation_rate": 0.005801328258634511,
        "expected_mean_rate": 0.05,
        "expected_max_rate": 0.15000000000000002
      },
      {
        "angular_momentum": 0.05,
        "radius": 2.0,
        "mean_rotation_rate": 0.00022548069916684374,
        "max_rotation_rate": 0.0007251660323293139,
        "expected_mean_rate": 0.00625,
        "expected_max_rate": 0.018750000000000003
      },
      {
        "angular_momentum": 0.08,
        "radius": 1.0,
        "mean_rotation_rate": 0.002875351346958438,
        "max_rotation_rate": 0.00920239330305188,
        "expected_mean_rate": 0.08,
        "expected_max_rate": 0.24
      },
      {
        "angular_momentum": 0.08,
        "radius": 2.0,
        "mean_rotation_rate": 0.00035941891836980476,
        "max_rotation_rate": 0.001150299162881485,
        "expected_mean_rate": 0.01,
        "expected_max_rate": 0.03
      }
    ],
    "quantum_tunneling": [
      {
        "barrier_height": 0.05,
        "throughput": 0.5674286345365598,
        "tunneled": true,
        "probability": 0.6394073191618971,
        "effective_throughput": 0.3628180220247175
      },
      {
        "barrier_height": 0.08,
        "throughput": 0.4739562355301615,
        "tunneled": true,
        "probability": 0.5679707120121922,
        "effective_throughput": 0.2691932605566841
      },
      {
        "barrier_height": 0.1,
        "throughput": 0.42036147140123065,
        "tunneled": true,
        "probability": 0.5312856091329679,
        "effective_throughput": 0.22333200038943346
      },
      {
        "barrier_height": 0.12,
        "throughput": 0.3728271797942465,
        "tunneled": true,
        "probability": 0.5001634554780691,
        "effective_throughput": 0.18647453054203367
      }
    ],
    "casimir": [
      {
        "separation": 0.5,
        "interaction_energy": 0.006134748986907765,
        "expected_energy": 15.872637448931412
      },
      {
        "separation": 1.0,
        "interaction_energy": 0.006134748986907765,
        "expected_energy": 0.9960099800349446
      },
      {
        "separation": 1.5,
        "interaction_energy": 0.006134748986907765,
        "expected_energy": 0.19700499197210045
      }
    ],
    "waves": [
      {
        "disturbance": 0.0,
        "propagation_delay": NaN,
        "wave_speed": NaN
      },
      {
        "disturbance": 0.02,
        "propagation_delay": NaN,
        "wave_speed": NaN
      },
      {
        "disturbance": 0.05,
        "propagation_delay": NaN,
        "wave_speed": NaN
      }
    ],
    "triangle": [
      {
        "seed_triplet": [
          7,
          11,
          13
        ],
        "pairwise_throughput": {
          "7": 0.7659485399999999,
          "11": 0.76594854,
          "13": 0.76594854
        }
      }
    ],
    "topology_samples": [
      {
        "topology": "series",
        "stage": 0,
        "seed": 7,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8596182191017355
      },
      {
        "topology": "series",
        "stage": 1,
        "seed": 7,
        "throughput": 0.5239088013599997,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8997131645509027
      },
      {
        "topology": "series",
        "stage": 2,
        "seed": 7,
        "throughput": 0.37914452730000014,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.9198658204323876
      },
      {
        "topology": "series",
        "stage": 0,
        "seed": 11,
        "throughput": 0.76594854,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.8661456540158909
      },
      {
        "topology": "series",
        "stage": 1,
        "seed": 11,
        "throughput": 0.5239088013599998,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.8905881150456825
      },
      {
        "topology": "series",
        "stage": 2,
        "seed": 11,
        "throughput": 0.37914452730000003,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.9189266446472052
      },
      {
        "topology": "series",
        "stage": 0,
        "seed": 13,
        "throughput": 0.76594854,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.859869038667738
      },
      {
        "topology": "series",
        "stage": 1,
        "seed": 13,
        "throughput": 0.5239088013599998,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8939869636780856
      },
      {
        "topology": "series",
        "stage": 2,
        "seed": 13,
        "throughput": 0.3791445273000001,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.9197480275243411
      },
      {
        "topology": "parallel",
        "stage": 0,
        "seed": 7,
        "throughput": 0.7276511129999998,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8610896373428714
      },
      {
        "topology": "parallel",
        "stage": 1,
        "seed": 7,
        "throughput": 0.8685856443600001,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8367609240984769
      },
      {
        "topology": "parallel",
        "stage": 2,
        "seed": 7,
        "throughput": 0.8685856443600001,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8485834746403542
      },
      {
        "topology": "parallel",
        "stage": 0,
        "seed": 11,
        "throughput": 0.727651113,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.8704702737865349
      },
      {
        "topology": "parallel",
        "stage": 1,
        "seed": 11,
        "throughput": 0.86858564436,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.8488654651922736
      },
      {
        "topology": "parallel",
        "stage": 2,
        "seed": 11,
        "throughput": 0.86858564436,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.846018970558096
      },
      {
        "topology": "parallel",
        "stage": 0,
        "seed": 13,
        "throughput": 0.727651113,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8652762112500103
      },
      {
        "topology": "parallel",
        "stage": 1,
        "seed": 13,
        "throughput": 0.8685856443600001,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8411984918996022
      },
      {
        "topology": "parallel",
        "stage": 2,
        "seed": 13,
        "throughput": 0.8685856443600001,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8529078647302897
      },
      {
        "topology": "triangle",
        "stage": 0,
        "seed": 7,
        "throughput": 0.7751399224799997,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.870000699683859
      },
      {
        "topology": "triangle",
        "stage": 1,
        "seed": 7,
        "throughput": 0.69126855735,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8581757398085259
      },
      {
        "topology": "triangle",
        "stage": 2,
        "seed": 7,
        "throughput": 0.7046726567999998,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8723834733305503
      },
      {
        "topology": "triangle",
        "stage": 0,
        "seed": 11,
        "throughput": 0.77513992248,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.8700140731605226
      },
      {
        "topology": "triangle",
        "stage": 1,
        "seed": 11,
        "throughput": 0.6912685573499999,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.8605492708966487
      },
      {
        "topology": "triangle",
        "stage": 2,
        "seed": 11,
        "throughput": 0.7046726568,
        "hp_match": 0.0,
        "hp_packets": 72,
        "margin_min": 0.8689450348854154
      },
      {
        "topology": "triangle",
        "stage": 0,
        "seed": 13,
        "throughput": 0.77513992248,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.87853602832868
      },
      {
        "topology": "triangle",
        "stage": 1,
        "seed": 13,
        "throughput": 0.6912685573499998,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.8634381996630628
      },
      {
        "topology": "triangle",
        "stage": 2,
        "seed": 13,
        "throughput": 0.7046726567999999,
        "hp_match": 1.0,
        "hp_packets": 72,
        "margin_min": 0.849038262278918
      }
    ],
    "topology_aggregates": [
      {
        "topology": "series",
        "throughput_mean": 0.3791445273000001,
        "throughput_std": 4.5324665183683945e-17,
        "hp_match_mean": 0.6666666666666666,
        "hp_packets_mean": 72.0,
        "margin_mean": 0.8618776372617881,
        "notes": "Series chain limited by weakest throat; metrics derived from per-stage minima."
      },
      {
        "topology": "parallel",
        "throughput_mean": 2.4648224017200002,
        "throughput_std": 2.0934566115783667e-16,
        "hp_match_mean": 0.6666666666666666,
        "hp_packets_mean": 216.0,
        "margin_mean": 0.8656120407931388,
        "notes": "Parallel branches sum throughput; HP averaged by throughput weighting."
      },
      {
        "topology": "triangle",
        "throughput_mean": 0.7236937122099999,
        "throughput_std": 5.233641528945917e-17,
        "hp_match_mean": 0.6666666666666666,
        "hp_packets_mean": 72.0,
        "margin_mean": 0.8656756424484647,
        "notes": "Triangle coupling averages stage metrics, capturing cooperative stability."
      }
    ],
    "null_ablation": [
      {
        "label": "baseline",
        "seed": 7,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8584759468261158,
        "lambda_max_mean": 0.344886254311442,
        "comment": "Reference configuration."
      },
      {
        "label": "no_hp",
        "seed": 7,
        "throughput": 0.76392894,
        "hp_match": 0.0,
        "packets": 72,
        "margin_min": 0.8706371389153482,
        "lambda_max_mean": 0.34551839662492717,
        "comment": "HP channel disabled; decoder should report zero accuracy."
      },
      {
        "label": "budget_heavy",
        "seed": 7,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8519666297142026,
        "lambda_max_mean": 0.34705216628119195,
        "comment": "Budget requirement increased; expect throughput drop if budgets choke."
      },
      {
        "label": "tight_tolerance",
        "seed": 7,
        "throughput": 0.7200000000000004,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8633423066285746,
        "lambda_max_mean": 0.3543286431840939,
        "comment": "Verification tolerance tightened; packets should clip heavily."
      },
      {
        "label": "no_traversable",
        "seed": 7,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8429420345940983,
        "lambda_max_mean": 0.3402489062314737,
        "comment": "Traversable coupling removed; locking should slow and margins shrink."
      }
    ],
    "noise_stress": [
      {
        "label": "baseline",
        "seed": 7,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8602903175350187,
        "lambda_max_mean": 0.34769330770270535,
        "comment": "Reference configuration baseline for comparison."
      },
      {
        "label": "baseline",
        "seed": 11,
        "throughput": 0.76594854,
        "hp_match": 0.0,
        "packets": 72,
        "margin_min": 0.8550128124245636,
        "lambda_max_mean": 0.3531196428698357,
        "comment": "Reference configuration baseline for comparison."
      },
      {
        "label": "baseline",
        "seed": 13,
        "throughput": 0.76594854,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8335795030371166,
        "lambda_max_mean": 0.36876219309035724,
        "comment": "Reference configuration baseline for comparison."
      },
      {
        "label": "noise_low",
        "seed": 7,
        "throughput": 0.7659485400000001,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8418742667684845,
        "lambda_max_mean": 0.3361794378935966,
        "comment": "Base proposal noise increased by 30%."
      },
      {
        "label": "noise_low",
        "seed": 11,
        "throughput": 0.76594854,
        "hp_match": 0.0,
        "packets": 72,
        "margin_min": 0.8511161486427812,
        "lambda_max_mean": 0.3652437962256358,
        "comment": "Base proposal noise increased by 30%."
      },
      {
        "label": "noise_low",
        "seed": 13,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.85064670923866,
        "lambda_max_mean": 0.35420719894709735,
        "comment": "Base proposal noise increased by 30%."
      },
      {
        "label": "noise_high",
        "seed": 7,
        "throughput": 0.7659485400000002,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8353259033497533,
        "lambda_max_mean": 0.3462577790779273,
        "comment": "Base proposal noise increased by 80%."
      },
      {
        "label": "noise_high",
        "seed": 11,
        "throughput": 0.76594854,
        "hp_match": 0.0,
        "packets": 72,
        "margin_min": 0.8425910596179828,
        "lambda_max_mean": 0.362161008069094,
        "comment": "Base proposal noise increased by 80%."
      },
      {
        "label": "noise_high",
        "seed": 13,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8296507850007437,
        "lambda_max_mean": 0.35965699610594576,
        "comment": "Base proposal noise increased by 80%."
      },
      {
        "label": "budget_crunch",
        "seed": 7,
        "throughput": 0.7659485399999999,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8615793226853183,
        "lambda_max_mean": 0.3360685781171631,
        "comment": "Budgets tightened (higher fraction, lower repay)."
      },
      {
        "label": "budget_crunch",
        "seed": 11,
        "throughput": 0.76594854,
        "hp_match": 0.0,
        "packets": 72,
        "margin_min": 0.8539948237151993,
        "lambda_max_mean": 0.35661430464831456,
        "comment": "Budgets tightened (higher fraction, lower repay)."
      },
      {
        "label": "budget_crunch",
        "seed": 13,
        "throughput": 0.76594854,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8404871852412759,
        "lambda_max_mean": 0.35653538743835983,
        "comment": "Budgets tightened (higher fraction, lower repay)."
      },
      {
        "label": "shock_overdrive",
        "seed": 7,
        "throughput": 1.302112518,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8587113416776997,
        "lambda_max_mean": 0.3430725375033408,
        "comment": "Shock energy increased 70%."
      },
      {
        "label": "shock_overdrive",
        "seed": 11,
        "throughput": 1.3021125180000004,
        "hp_match": 0.0,
        "packets": 72,
        "margin_min": 0.8535525701620996,
        "lambda_max_mean": 0.36336270995383796,
        "comment": "Shock energy increased 70%."
      },
      {
        "label": "shock_overdrive",
        "seed": 13,
        "throughput": 1.3021125180000004,
        "hp_match": 1.0,
        "packets": 72,
        "margin_min": 0.8523643086660972,
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