{
  "schema": "classical-reconstruction-sed-eccentric-self-ionization-control/v1",
  "status": "STANDARD_SED_ECCENTRIC_SELF_IONIZATION_CONTROL_RED",
  "sources": {
    "nieuwenhuizen_liska_2015": {
      "path": "research/sed-stability/n2015/N-Liska-PhysicaScripta-final.tex",
      "sha256": "0b193b471483d6eae4395babbb1f5c5d12d47ef058be204e98c874fb2f9fce47"
    },
    "nieuwenhuizen_2016": {
      "path": "research/sed-stability/n2016/Entropy-SED-2015-H-ground-state-stability+dipole-Vaxjo-rev.tex",
      "sha256": "d31f96bd955306856fad3bed401fd76c4684cddd9501bd80eca04d912e3d6587"
    }
  },
  "equation": "Delta<E>_orbit = beta^2 * 3*pi/L^6 * [f(0)-L], near ionization (kappa->0 at fixed L)",
  "f0": 0.5880841551165783,
  "critical_L_over_hbar": 0.5880841551165783,
  "critical_perihelion_a0": 0.17292148674958988,
  "scan": [
    {
      "L_over_hbar": 0.3,
      "delta_E_per_period_limit": 0.0009648675509619037,
      "mean_direction": "OUTWARD_TOWARD_IONIZATION"
    },
    {
      "L_over_hbar": 0.4,
      "delta_E_per_period_limit": 0.00011211613546679082,
      "mean_direction": "OUTWARD_TOWARD_IONIZATION"
    },
    {
      "L_over_hbar": 0.5,
      "delta_E_per_period_limit": 1.376428397393429e-05,
      "mean_direction": "OUTWARD_TOWARD_IONIZATION"
    },
    {
      "L_over_hbar": 0.55,
      "delta_E_per_period_limit": 3.3592633011215597e-06,
      "mean_direction": "OUTWARD_TOWARD_IONIZATION"
    },
    {
      "L_over_hbar": 0.5880841551165783,
      "delta_E_per_period_limit": 0.0,
      "mean_direction": "BOUNDARY"
    },
    {
      "L_over_hbar": 0.62,
      "delta_E_per_period_limit": -1.3719303562946872e-06,
      "mean_direction": "INWARD"
    },
    {
      "L_over_hbar": 0.75,
      "delta_E_per_period_limit": -2.2212509524934807e-06,
      "mean_direction": "INWARD"
    },
    {
      "L_over_hbar": 1.0,
      "delta_E_per_period_limit": -1.0057368318035374e-06,
      "mean_direction": "INWARD"
    }
  ],
  "interpretation": "For sufficiently eccentric near-ionizing trajectories with L/hbar below f(0), published standard SED has positive mean energy drift toward ionization.",
  "geometry_guard": "This is an eccentric/near-ionization instability. It does not algebraically negate a restoring mean drift on Boyer circular orbits, and the circular result does not erase this red control."
}