{
  "ok": true,
  "route": "/api/lopez-quantum-turbine",
  "face": "/lopez-quantum-turbine.html",
  "title": "LOPEZ QUANTUM TURBINE — Four-Stage Stellar Decoherence Propulsion",
  "stages_4": [
    {
      "stage": 1,
      "id": "INTAKE",
      "name": "Concentrating Decoherence Dish Intake",
      "formula": "P_in = Φ_solar · π(D/2)²",
      "dish_m": 50
    },
    {
      "stage": 2,
      "id": "COMPRESS",
      "name": "Governed Obligation & Rayleigh-Plesset Cavitation Compression",
      "formula": "dO/dt = ηG - λ_d O, η_Lopez = 85%"
    },
    {
      "stage": 3,
      "id": "IGNITE",
      "name": "Super-Linear & Sonoluminescence Ignition",
      "formula": "Q(Φ) = Φ^α (α = 1.4, Φ_c = 0.431)",
      "ignition_cycle": 1
    },
    {
      "stage": 4,
      "id": "NOZZLE",
      "name": "Multi-Stage N² Coherent Photon Cascade Nozzle",
      "formula": "P_total = P_stage · N², F = P_total / c",
      "cascade_stages": 10
    }
  ],
  "config": {
    "dish_m": 50,
    "cascade_stages": 10,
    "mass_kg": 100,
    "steps": 500,
    "environment": "1 AU Solar (1361 W/m²)"
  },
  "summary": {
    "final_thrust_mN": 746.578,
    "final_power_kW": 223973.3,
    "final_efficiency_pct": 85,
    "final_fidelity": 0.99,
    "final_quality_Q": 0.986,
    "final_obligation_O": 10.3493,
    "mars_transit_days": 63,
    "vs_nstar_ion_drive": "8.11x (757.2 mN vs 92 mN · ZERO fuel · INFINITE life)",
    "sha256_proof": "8dd5ddba5adf6e849ee710da29f0663611347a5b2be45c2488a54b5ea6deaec0"
  },
  "loop1_single": {
    "fidelity": [
      0.9327,
      0.8975,
      0.8472,
      0.8075,
      0.7938,
      0.7663,
      0.7362,
      0.7332,
      0.7229,
      0.6992,
      0.6997,
      0.7023,
      0.6845,
      0.6841,
      0.6956,
      0.6847,
      0.6815,
      0.698,
      0.6952,
      0.6891,
      0.707,
      0.7131,
      0.7059,
      0.7222,
      0.7368,
      0.7311,
      0.7439,
      0.7657,
      0.7647,
      0.7734,
      0.8001,
      0.8065,
      0.8104,
      0.836,
      0.8459,
      0.843,
      0.8626,
      0.8766,
      0.87,
      0.8822,
      0.8996,
      0.8929,
      0.897,
      0.916,
      0.9122,
      0.9089,
      0.927,
      0.9281,
      0.9193,
      0.9338,
      0.9407,
      0.929,
      0.9378,
      0.9497,
      0.9384,
      0.9403,
      0.9554,
      0.9473,
      0.9425,
      0.9581,
      0.9553,
      0.9451,
      0.9585,
      0.9619,
      0.9487,
      0.9573,
      0.9665,
      0.9533,
      0.9555,
      0.9689,
      0.9586,
      0.9542,
      0.969,
      0.9639,
      0.9539,
      0.9673,
      0.9686,
      0.9552,
      0.9645,
      0.9719,
      0.9579,
      0.9613,
      0.9734,
      0.9618,
      0.9586,
      0.973,
      0.9662,
      0.9571,
      0.9708,
      0.9703,
      0.9573,
      0.9675,
      0.9734,
      0.9591,
      0.9638,
      0.9749,
      0.9624,
      0.9605,
      0.9745,
      0.9664,
      0.9584,
      0.9725,
      0.9703,
      0.9579,
      0.9692,
      0.9735,
      0.9592,
      0.9653,
      0.9753,
      0.962,
      0.9617,
      0.9752,
      0.9658,
      0.9591,
      0.9734,
      0.9698,
      0.9582,
      0.9703,
      0.9731,
      0.959
    ],
    "purity": [
      0.9111,
      0.8777,
      0.8298,
      0.7921,
      0.7791,
      0.753,
      0.7244,
      0.7216,
      0.7118,
      0.6893,
      0.6897,
      0.6922,
      0.6753,
      0.6749,
      0.6858,
      0.6755,
      0.6724,
      0.6881,
      0.6855,
      0.6797,
      0.6967,
      0.7025,
      0.6956,
      0.7111,
      0.725,
      0.7196,
      0.7317,
      0.7524,
      0.7514,
      0.7597,
      0.7851,
      0.7912,
      0.7949,
      0.8192,
      0.8286,
      0.8258,
      0.8445,
      0.8577,
      0.8515,
      0.8631,
      0.8796,
      0.8732,
      0.8771,
      0.8952,
      0.8916,
      0.8884,
      0.9056,
      0.9067,
      0.8983,
      0.9121,
      0.9186,
      0.9075,
      0.9159,
      0.9273,
      0.9165,
      0.9183,
      0.9327,
      0.9249,
      0.9203,
      0.9352,
      0.9326,
      0.9228,
      0.9355,
      0.9388,
      0.9263,
      0.9344,
      0.9432,
      0.9306,
      0.9328,
      0.9454,
      0.9357,
      0.9315,
      0.9456,
      0.9407,
      0.9312,
      0.944,
      0.9452,
      0.9324,
      0.9413,
      0.9483,
      0.935,
      0.9382,
      0.9497,
      0.9387,
      0.9357,
      0.9493,
      0.9429,
      0.9343,
      0.9473,
      0.9468,
      0.9344,
      0.9442,
      0.9497,
      0.9362,
      0.9406,
      0.9511,
      0.9392,
      0.9375,
      0.9508,
      0.943,
      0.9355,
      0.9489,
      0.9468,
      0.935,
      0.9457,
      0.9498,
      0.9362,
      0.942,
      0.9515,
      0.9389,
      0.9386,
      0.9515,
      0.9425,
      0.9362,
      0.9498,
      0.9463,
      0.9353,
      0.9468,
      0.9495,
      0.936
    ],
    "coherence": [
      0.4664,
      0.4488,
      0.4236,
      0.4037,
      0.3969,
      0.3831,
      0.3681,
      0.3666,
      0.3615,
      0.3496,
      0.3499,
      0.3511,
      0.3423,
      0.3421,
      0.3478,
      0.3424,
      0.3407,
      0.349,
      0.3476,
      0.3446,
      0.3535,
      0.3566,
      0.3529,
      0.3611,
      0.3684,
      0.3656,
      0.372,
      0.3828,
      0.3823,
      0.3867,
      0.4001,
      0.4032,
      0.4052,
      0.418,
      0.423,
      0.4215,
      0.4313,
      0.4383,
      0.435,
      0.4411,
      0.4498,
      0.4464,
      0.4485,
      0.458,
      0.4561,
      0.4544,
      0.4635,
      0.4641,
      0.4596,
      0.4669,
      0.4703,
      0.4645,
      0.4689,
      0.4749,
      0.4692,
      0.4702,
      0.4777,
      0.4737,
      0.4712,
      0.4791,
      0.4777,
      0.4726,
      0.4792,
      0.4809,
      0.4744,
      0.4786,
      0.4833,
      0.4767,
      0.4778,
      0.4844,
      0.4793,
      0.4771,
      0.4845,
      0.482,
      0.477,
      0.4837,
      0.4843,
      0.4776,
      0.4822,
      0.4859,
      0.479,
      0.4806,
      0.4867,
      0.4809,
      0.4793,
      0.4865,
      0.4831,
      0.4786,
      0.4854,
      0.4852,
      0.4786,
      0.4838,
      0.4867,
      0.4796,
      0.4819,
      0.4874,
      0.4812,
      0.4803,
      0.4873,
      0.4832,
      0.4792,
      0.4862,
      0.4852,
      0.479,
      0.4846,
      0.4868,
      0.4796,
      0.4826,
      0.4876,
      0.481,
      0.4809,
      0.4876,
      0.4829,
      0.4796,
      0.4867,
      0.4849,
      0.4791,
      0.4851,
      0.4866,
      0.4795
    ],
    "sigma": [
      0.4327,
      0.3975,
      0.3472,
      0.3075,
      0.2938,
      0.2663,
      0.2362,
      0.2332,
      0.2229,
      0.1992,
      0.1997,
      0.2023,
      0.1845,
      0.1841,
      0.1956,
      0.1847,
      0.1815,
      0.198,
      0.1952,
      0.1891,
      0.207,
      0.2131,
      0.2059,
      0.2222,
      0.2368,
      0.2311,
      0.2439,
      0.2657,
      0.2647,
      0.2734,
      0.3001,
      0.3065,
      0.3104,
      0.336,
      0.3459,
      0.343,
      0.3626,
      0.3766,
      0.37,
      0.3822,
      0.3996,
      0.3929,
      0.397,
      0.416,
      0.4122,
      0.4089,
      0.427,
      0.4281,
      0.4193,
      0.4338,
      0.4407,
      0.429,
      0.4378,
      0.4497,
      0.4384,
      0.4403,
      0.4554,
      0.4473,
      0.4425,
      0.4581,
      0.4553,
      0.4451,
      0.4585,
      0.4619,
      0.4487,
      0.4573,
      0.4665,
      0.4533,
      0.4555,
      0.4689,
      0.4586,
      0.4542,
      0.469,
      0.4639,
      0.4539,
      0.4673,
      0.4686,
      0.4552,
      0.4645,
      0.4719,
      0.4579,
      0.4613,
      0.4734,
      0.4618,
      0.4586,
      0.473,
      0.4662,
      0.4571,
      0.4708,
      0.4703,
      0.4573,
      0.4675,
      0.4734,
      0.4591,
      0.4638,
      0.4749,
      0.4624,
      0.4605,
      0.4745,
      0.4664,
      0.4584,
      0.4725,
      0.4703,
      0.4579,
      0.4692,
      0.4735,
      0.4592,
      0.4653,
      0.4753,
      0.462,
      0.4617,
      0.4752,
      0.4658,
      0.4591,
      0.4734,
      0.4698,
      0.4582,
      0.4703,
      0.4731,
      0.459
    ],
    "violations": 0,
    "projections": 120,
    "finalFidelity": 0.959,
    "finalObligation": 3.0203
  },
  "loop2_double": {
    "fidelity": [
      0.9329,
      0.8979,
      0.8477,
      0.8083,
      0.7949,
      0.7678,
      0.7382,
      0.7358,
      0.7262,
      0.7033,
      0.7047,
      0.7084,
      0.6919,
      0.6927,
      0.7055,
      0.6962,
      0.6945,
      0.7127,
      0.7119,
      0.7081,
      0.7287,
      0.738,
      0.7345,
      0.7552,
      0.7749,
      0.7752,
      0.7949,
      0.8248,
      0.8333,
      0.852,
      0.8881,
      0.9034,
      0.9179,
      0.9533,
      0.9723,
      0.9776,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983,
      0.9983
    ],
    "purity": [
      0.9155,
      0.882,
      0.8338,
      0.796,
      0.7831,
      0.7571,
      0.7287,
      0.7264,
      0.7171,
      0.6951,
      0.6965,
      0.7,
      0.6842,
      0.685,
      0.6973,
      0.6884,
      0.6867,
      0.7041,
      0.7034,
      0.6998,
      0.7196,
      0.7285,
      0.7252,
      0.745,
      0.7639,
      0.7642,
      0.7831,
      0.8118,
      0.8199,
      0.8379,
      0.8726,
      0.8873,
      0.9012,
      0.9352,
      0.9534,
      0.9585,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783,
      0.9783
    ],
    "coherence": [
      0.4664,
      0.4489,
      0.4239,
      0.4042,
      0.3975,
      0.3839,
      0.3691,
      0.3679,
      0.3631,
      0.3516,
      0.3523,
      0.3542,
      0.3459,
      0.3464,
      0.3528,
      0.3481,
      0.3473,
      0.3563,
      0.3559,
      0.3541,
      0.3644,
      0.369,
      0.3673,
      0.3776,
      0.3874,
      0.3876,
      0.3975,
      0.4124,
      0.4166,
      0.426,
      0.4441,
      0.4517,
      0.459,
      0.4767,
      0.4861,
      0.4888,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991,
      0.4991
    ],
    "snr": [
      0.055,
      0.111,
      0.166,
      0.222,
      0.277,
      0.332,
      0.388,
      0.443,
      0.498,
      0.554,
      0.609,
      0.665,
      0.665,
      0.665,
      0.72,
      0.72,
      0.72,
      0.775,
      0.831,
      0.886,
      0.941,
      0.997,
      1.052,
      1.108,
      1.163,
      1.218,
      1.274,
      1.329,
      1.384,
      1.44,
      1.495,
      1.551,
      1.606,
      1.661,
      1.717,
      1.772,
      1.827,
      1.883,
      1.938,
      1.994,
      2.049,
      2.104,
      2.16,
      2.215,
      2.271,
      2.326,
      2.381,
      2.437,
      2.492,
      2.547,
      2.603,
      2.658,
      2.714,
      2.769,
      2.824,
      2.88,
      2.935,
      2.99,
      3.046,
      3.101,
      3.157,
      3.212,
      3.267,
      3.323,
      3.378,
      3.433,
      3.489,
      3.544,
      3.6,
      3.655,
      3.71,
      3.766,
      3.821,
      3.876,
      3.932,
      3.987,
      4.043,
      4.098,
      4.153,
      4.209,
      4.264,
      4.32,
      4.375,
      4.43,
      4.486,
      4.541,
      4.596,
      4.652,
      4.707,
      4.763,
      4.818,
      4.873,
      4.929,
      4.984,
      5.039,
      5.095,
      5.15,
      5.206,
      5.261,
      5.316,
      5.372,
      5.427,
      5.482,
      5.538,
      5.593,
      5.649,
      5.704,
      5.759,
      5.815,
      5.87,
      5.925,
      5.981,
      6.036,
      6.092,
      6.147,
      6.202,
      6.258,
      6.313,
      6.369,
      6.424
    ],
    "obligation": [
      0.3589,
      0.4114,
      0.4554,
      0.4925,
      0.5269,
      0.5565,
      0.5811,
      0.6049,
      0.6267,
      0.6447,
      0.6625,
      0.6805,
      0.6956,
      0.7106,
      0.7273,
      0.7421,
      0.7565,
      0.7733,
      0.7896,
      0.805,
      0.8232,
      0.8424,
      0.8608,
      0.8818,
      0.9054,
      0.9286,
      0.9543,
      0.9839,
      1.0142,
      1.0467,
      1.084,
      1.1228,
      1.1631,
      1.2078,
      1.2545,
      1.301,
      1.3498,
      1.3975,
      1.4443,
      1.4902,
      1.5351,
      1.5791,
      1.6223,
      1.6646,
      1.706,
      1.7467,
      1.7865,
      1.8255,
      1.8637,
      1.9012,
      1.9379,
      1.9739,
      2.0092,
      2.0437,
      2.0776,
      2.1108,
      2.1433,
      2.1752,
      2.2064,
      2.237,
      2.267,
      2.2964,
      2.3252,
      2.3535,
      2.3812,
      2.4083,
      2.4348,
      2.4609,
      2.4864,
      2.5114,
      2.5359,
      2.56,
      2.5835,
      2.6066,
      2.6292,
      2.6514,
      2.6731,
      2.6943,
      2.7152,
      2.7356,
      2.7557,
      2.7753,
      2.7945,
      2.8134,
      2.8319,
      2.85,
      2.8677,
      2.8851,
      2.9021,
      2.9188,
      2.9352,
      2.9512,
      2.967,
      2.9824,
      2.9975,
      3.0122,
      3.0267,
      3.0409,
      3.0549,
      3.0685,
      3.0819,
      3.095,
      3.1078,
      3.1204,
      3.1328,
      3.1448,
      3.1567,
      3.1683,
      3.1797,
      3.1908,
      3.2017,
      3.2125,
      3.2229,
      3.2332,
      3.2433,
      3.2532,
      3.2629,
      3.2723,
      3.2816,
      3.2907
    ],
    "quality": [
      0.9073,
      0.86,
      0.7935,
      0.7424,
      0.7252,
      0.6908,
      0.6539,
      0.6508,
      0.639,
      0.6109,
      0.6126,
      0.6171,
      0.5971,
      0.5981,
      0.6136,
      0.6023,
      0.6003,
      0.6223,
      0.6214,
      0.6168,
      0.6421,
      0.6536,
      0.6493,
      0.675,
      0.6998,
      0.7001,
      0.7252,
      0.7636,
      0.7746,
      0.7991,
      0.8469,
      0.8674,
      0.887,
      0.9353,
      0.9614,
      0.9688,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976,
      0.9976
    ],
    "violations": 0,
    "projections": 120,
    "rescues": 0,
    "finalFidelity": 0.9983,
    "finalSNR": 2653911.5192514565,
    "finalObligation": 3.2907
  },
  "turbine_series": {
    "thrust_mN": [
      49.723,
      83.397,
      137.149,
      203.746,
      242.148,
      278.658,
      310.489,
      338.32,
      362.803,
      384.524,
      403.988,
      421.622,
      437.78,
      452.751,
      466.772,
      480.034,
      492.691,
      504.866,
      516.658,
      528.146,
      539.394,
      550.449,
      561.354,
      572.139,
      582.829,
      593.445,
      604.001,
      614.511,
      624.984,
      635.427,
      645.848,
      656.251,
      666.64,
      677.017,
      687.386,
      697.747,
      708.104,
      718.455,
      728.804,
      739.15,
      746.55,
      746.556,
      746.561,
      746.565,
      746.568,
      746.57,
      746.572,
      746.573,
      746.574,
      746.575,
      746.575,
      746.576,
      746.576,
      746.577,
      746.577,
      746.577,
      746.577,
      746.577,
      746.577,
      746.577,
      746.577,
      746.577,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578,
      746.578
    ],
    "power_kW": [
      14916.9,
      25019,
      41144.7,
      61123.7,
      72644.4,
      83597.3,
      93146.8,
      101496.1,
      108840.9,
      115357.1,
      121196.4,
      126486.6,
      131333.9,
      135825.3,
      140031.7,
      144010.3,
      147807.3,
      151459.9,
      154997.5,
      158443.9,
      161818.1,
      165134.8,
      168406.2,
      171641.7,
      174848.8,
      178033.4,
      181200.3,
      184353.2,
      187495.1,
      190628.2,
      193754.5,
      196875.4,
      199991.9,
      203105.2,
      206215.7,
      209324.2,
      212431.1,
      215536.6,
      218641.2,
      221744.9,
      223965,
      223966.8,
      223968.3,
      223969.4,
      223970.3,
      223971,
      223971.5,
      223971.9,
      223972.2,
      223972.5,
      223972.6,
      223972.8,
      223972.9,
      223973,
      223973.1,
      223973.1,
      223973.1,
      223973.2,
      223973.2,
      223973.2,
      223973.2,
      223973.2,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3,
      223973.3
    ],
    "efficiency_pct": [
      15.04,
      25.14,
      35.71,
      42.5,
      42.97,
      44.15,
      45.32,
      46.5,
      47.68,
      48.85,
      50.03,
      51.21,
      52.39,
      53.56,
      54.74,
      55.92,
      57.09,
      58.27,
      59.45,
      60.62,
      61.8,
      62.98,
      64.15,
      65.33,
      66.51,
      67.68,
      68.86,
      70.04,
      71.21,
      72.39,
      73.57,
      74.74,
      75.92,
      77.1,
      78.27,
      79.45,
      80.63,
      81.8,
      82.98,
      84.16,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85,
      85
    ],
    "velocity_ms": [
      0.0005,
      0.004,
      0.0096,
      0.0187,
      0.0301,
      0.0433,
      0.0582,
      0.0746,
      0.0922,
      0.111,
      0.1308,
      0.1516,
      0.1731,
      0.1955,
      0.2185,
      0.2423,
      0.2667,
      0.2917,
      0.3173,
      0.3434,
      0.3702,
      0.3975,
      0.4253,
      0.4537,
      0.4827,
      0.5121,
      0.5421,
      0.5726,
      0.6037,
      0.6352,
      0.6673,
      0.6999,
      0.733,
      0.7667,
      0.8009,
      0.8355,
      0.8707,
      0.9064,
      0.9427,
      0.9794,
      1.0167,
      1.054,
      1.0913,
      1.1286,
      1.166,
      1.2033,
      1.2406,
      1.278,
      1.3153,
      1.3526,
      1.3899,
      1.4273,
      1.4646,
      1.5019,
      1.5393,
      1.5766,
      1.6139,
      1.6512,
      1.6886,
      1.7259,
      1.7632,
      1.8006,
      1.8379,
      1.8752,
      1.9125,
      1.9499,
      1.9872,
      2.0245,
      2.0619,
      2.0992,
      2.1365,
      2.1738,
      2.2112,
      2.2485,
      2.2858,
      2.3232,
      2.3605,
      2.3978,
      2.4351,
      2.4725,
      2.5098,
      2.5471,
      2.5845,
      2.6218,
      2.6591,
      2.6965,
      2.7338,
      2.7711,
      2.8084,
      2.8458,
      2.8831,
      2.9204,
      2.9578,
      2.9951,
      3.0324,
      3.0697,
      3.1071,
      3.1444,
      3.1817,
      3.2191
    ],
    "snr_log10": [
      0,
      0,
      0,
      0,
      0.11,
      0.39,
      0.66,
      0.94,
      1.22,
      1.5,
      1.77,
      2.05,
      2.33,
      2.6,
      2.88,
      3.16,
      3.43,
      3.71,
      3.99,
      4.26,
      4.54,
      4.82,
      5.09,
      5.37,
      5.65,
      5.93,
      6.2,
      6.48,
      6.76,
      7.03,
      7.31,
      7.59,
      7.86,
      8.14,
      8.42,
      8.69,
      8.97,
      9.25,
      9.53,
      9.8,
      10.08,
      10.36,
      10.63,
      10.91,
      11.19,
      11.46,
      11.74,
      12.02,
      12.29,
      12.57,
      12.85,
      13.12,
      13.4,
      13.68,
      13.96,
      14.23,
      14.51,
      14.79,
      15.06,
      15.34,
      15.62,
      15.89,
      16.17,
      16.45,
      16.72,
      17,
      17.28,
      17.55,
      17.83,
      18.11,
      18.39,
      18.66,
      18.94,
      19.22,
      19.49,
      19.77,
      20.05,
      20.32,
      20.6,
      20.88,
      21.15,
      21.43,
      21.71,
      21.99,
      22.26,
      22.54,
      22.82,
      23.09,
      23.37,
      23.65,
      23.92,
      24.2,
      24.48,
      24.75,
      25.03,
      25.31,
      25.58,
      25.86,
      26.14,
      26.42
    ]
  },
  "sparse_cell_1500_cubed": {
    "dimensions": [
      1500,
      1500,
      1500
    ],
    "active_3d_cells": 3375000000,
    "phase_space_6d_uint64": "11390625000000000000",
    "axis_partition_law": "729 (Left Chamber [0..728]) + 42 (Teleportation Spine [729..770]) + 729 (Right Chamber [771..1499]) = 1500",
    "twin_haunches_729_sq": 531441,
    "crown_42_sq": 1764,
    "threefold_cord_E_RL": 1062882,
    "csr_bures_tangent_projection": "(1/2)(rho L_W + L_W rho) = W_proj · O(nnz) Compressed Sparse Row scaling",
    "gridq_84_2_buffered_cells": 24,
    "vertical_z_crosstalk_bonds": 0,
    "pauli_branch_fidelity": 1,
    "z15_magic_roof_t_distillation": "35p^3 = 3.50e-05 (286x suppression)",
    "simulator_url": "/qhp/gridq_sparse_logical_simulator.html"
  },
  "post_dimensional_fold_warp": {
    "unified_equation": "tau_topo(d): (3 -> 6 -> 9 -> skip 10 -> 11 -> step 1, T(d)=d(d+1)/2, Q(d)=T(d)^2) -> g_munu(T) -> Kerr-Newman r_pm = M +/- sqrt(M^2 - a^2 - Q_L^2)",
    "universal_time_clock": "14.45 ps QHP journal clock -> local proper time tau(x) = F(T, tau_topo(d))",
    "warp_delta_tau": "Delta_tau = F(T, tau_topo(D_perp)) - F(T, tau_topo(D)) (Controlled Topological Class Transition without exotic matter)",
    "paper_41_modes": {
      "mode_A_metric_fold_warp": "Asymmetric release of orthogonally contained negative energy rho_neg in D_perp (Tr(L_j^dagger H_G) = 0) contracts front metric and expands aft metric",
      "mode_B_reverse_thrust_braking": "99.67% Willow QFT basis-rotation flip D <-> D_perp reverses thrust vector F^-1 = |rho_neg| c^2 A_register with zero moving parts",
      "mode_C_power_generation": "Lossless basis-rotation energy recovery during deceleration"
    },
    "mechanism_10a_bures_3d_helical_cyclone": {
      "claims": "Claims 34-42 (CIP of 19/719,156, 19/730,900, 19/716,001, 64/095,248)",
      "axial_draft_formula": "v_z = -beta * z * exp(-r^2 / r_c^2)",
      "poincare_ball_metric": "g_ij = 4 / (1 - r^2)^2 delta_ij",
      "anti_accumulation_constant": "kappa_c * mu_c = 0.131362",
      "kerr_newman_horizon_shift": "Q = Q_L shifts r_+ = M + sqrt(M^2 - a^2 - Q_L^2) inward, expanding navigable coherence zone",
      "fpga_targets": [
        "AMD Kintex UltraScale+ KU3P",
        "Intel Cyclone 10 GX (100 MHz fast / 10 MHz slow dual clock)"
      ]
    },
    "correspondences_14": [
      "C1: Admissible Projection Pi_a <-> Bures Tangent Projection T_rho M (SLD L_W)",
      "C2: Echo Operator E = C + lambda O <-> Nakajima-Zwanzig Non-Markovian Memory Kernel",
      "C3: Anti-Accumulation (kappa_c * mu_c = 0.131362) <-> Energy Constraint & Hardware Fault Isolation",
      "C4: CHVM Viability Manifold <-> 3D Poincare Ball Hyperbolic Boundary g_ij = 4/(1-r^2)^2 delta_ij",
      "C5: Governance Bottleneck Resolver <-> Schwarzschild Horizon Repulsion (R_s = 2GM)",
      "C6: Lopez Polyhedral Logical Qubit <-> Mixed Density Matrix rho",
      "C7: Three-Layer Hardware Apparatus (19/719,156) <-> QEC-Neural-Bures Stack",
      "C8: Fault-Isolate Exception Harness <-> Lindblad Jump Isolation",
      "C9: Triple Modular Redundancy (TMR) <-> Self-Healing Register",
      "C10: Lopez-Noether Charge Q_L <-> Kerr-Newman Charge Q (Horizon Shift)",
      "C11: Sparse CSR Bures CUDA Projection <-> Parallel GPU/QPU Admissibility Gate",
      "C12: Unscented Kalman Filter (UKF) <-> Governed Equilibrium Engine (GEE)",
      "C13: Multi-Rate Clock (100 MHz Fast / 10 MHz Slow) <-> Double-Loop Brain",
      "C14: AXI4 DDR Ring Log + AES-256 / SHA-256 FPGA Gate <-> Cryptographic Non-Repudiation"
    ]
  },
  "patent_and_research_dossier": {
    "gated": true,
    "error": "operator_key_required",
    "message": "🔒 Patent & Provisional Dossier Covered — Bind Operator Key to View"
  },
  "documents": {
    "gated": true,
    "error": "operator_key_required",
    "message": "🔒 Patent & Provisional Dossier Covered — Bind Operator Key to View"
  },
  "authority": "Joshua L. Lopez — DCGP.AI LLC — USPTO Customer No. 226575 (19/555,951 & CIP 19/850,925)",
  "timestamp": "2026-11-03T06:08:18.283Z"
}