{
  "assumptions": "c=hbar=f=Lambda=m0=1; fixed density results are restricted curvature tests, not full coupled stability",
  "symbolic_checks": {
    "Uprime": true,
    "Usecond": true,
    "cold_derivative": true,
    "finite_p_derivative": true,
    "cold_barrier": true
  },
  "cold_equilibria": [
    {
      "r": 0,
      "chi": 0.0,
      "mass_ratio": 1.0,
      "curvature": 2.0,
      "potential": 0.0
    },
    {
      "r": 0,
      "chi": 0.5,
      "mass_ratio": 0.25,
      "curvature": -1.0,
      "potential": 0.0625
    },
    {
      "r": 0,
      "chi": 1.0,
      "mass_ratio": 0.0,
      "curvature": 2.0,
      "potential": 0.0
    },
    {
      "r": 0.05,
      "chi": 0.05635083268962915,
      "mass_ratio": 0.8904737509655563,
      "curvature": 1.4618950038622252,
      "potential": 0.047351312451722194
    },
    {
      "r": 0.05,
      "chi": 0.44364916731037085,
      "mass_ratio": 0.3095262490344437,
      "curvature": -0.861895003862225,
      "potential": 0.0763986875482778
    },
    {
      "r": 0.05,
      "chi": 1.0,
      "mass_ratio": 0.0,
      "curvature": 2.1,
      "potential": 0.0
    },
    {
      "r": 0.1,
      "chi": 0.13819660112501053,
      "mass_ratio": 0.7427050983124842,
      "curvature": 0.7708203932499367,
      "potential": 0.08845491502812527
    },
    {
      "r": 0.1,
      "chi": 0.36180339887498947,
      "mass_ratio": 0.4072949016875158,
      "curvature": -0.5708203932499367,
      "potential": 0.09404508497187473
    },
    {
      "r": 0.1,
      "chi": 1.0,
      "mass_ratio": 0.0,
      "curvature": 2.2,
      "potential": 0.0
    },
    {
      "r": 0.125,
      "chi": 0.25,
      "mass_ratio": 0.5625,
      "curvature": 0.0,
      "potential": 0.10546875
    },
    {
      "r": 0.125,
      "chi": 1.0,
      "mass_ratio": 0.0,
      "curvature": 2.25,
      "potential": 0.0
    },
    {
      "r": 0.2,
      "chi": 1.0,
      "mass_ratio": 0.0,
      "curvature": 2.4,
      "potential": 0.0
    }
  ],
  "finite_momentum_folds": [
    {
      "p_over_m0": 0,
      "chi_fold": 0.2500000037081325,
      "r_fold": 0.12499999999999997
    },
    {
      "p_over_m0": 0.3,
      "chi_fold": 0.2705244347567054,
      "r_fold": 0.14252898581713427
    },
    {
      "p_over_m0": 1,
      "chi_fold": 0.31978369343190244,
      "r_fold": 0.2744802070093016
    },
    {
      "p_over_m0": 3,
      "chi_fold": 0.331719657823307,
      "r_fold": 0.7582251007802496
    }
  ],
  "vacuum_dynamics": [
    {
      "chi_initial": 0.01,
      "chi_min": -0.0098038815741379,
      "chi_max": 0.01,
      "energy_error": 2.846030702774449e-19
    },
    {
      "chi_initial": 0.9,
      "chi_min": 0.9,
      "chi_max": 1.0830951748737285,
      "energy_error": 2.480654570646834e-16
    },
    {
      "chi_initial": 0.99,
      "chi_min": 0.99,
      "chi_max": 1.0098038815741388,
      "energy_error": 2.930056371142076e-17
    }
  ],
  "controlled_cycle": {
    "p": 0.3,
    "n": 0.1,
    "energy_initial": 0.10440306508910552,
    "energy_platform": 0.03,
    "external_work_entry": -0.07440306508910552,
    "net_external_work": -7.976357063061037e-17,
    "net_particle_work": -1.4225891879356372e-16,
    "energy_balance_max_error": 4.531626267810507e-16,
    "field_kinetic_peak": 0.017578125,
    "unloaded_potential_barrier": 0.0625
  },
  "dust_instability_example": {
    "r": 0.05,
    "chi": 0.05635083268962915,
    "k": 0.1,
    "K": 1.4618950038622252,
    "omega_minus_squared": -0.0013575405029162546,
    "growth_rate": 0.03684481649996719
  },
  "source_sha256": "41c64e6e606a16c9187ef3fc599ced7ea386625780a67b1c26357275469b5b56"
}