phase-action-radial-checks-persistence-results-20261013T143246.048642Z.json

{
  "checksPassed": 17,
  "checks": [
    "Radial Routh reduction",
    "Strict convexity formula",
    "Petal equilibrium is radial minimum",
    "Positive radial frequency",
    "Inner centrifugal barrier",
    "Outer centrifugal barrier",
    "Uniform positive convexity bound by positive coefficients",
    "Continuous frequency-ratio derivative",
    "Exact resonance L=2",
    "Detuning slope L=2",
    "Positive radial frequency and nonzero detuning L=2",
    "Exact resonance L=3",
    "Detuning slope L=3",
    "Positive radial frequency and nonzero detuning L=3",
    "Exact resonance L=4",
    "Detuning slope L=4",
    "Positive radial frequency and nonzero detuning L=4"
  ],
  "cases": [
    {
      "lock": 2,
      "radiusSquared": "-1 + 4*sqrt(3)/3",
      "radialFrequencySquared": "64/3 + 16*sqrt(3)",
      "detuningDerivative": "-3/2"
    },
    {
      "lock": 3,
      "radiusSquared": "-1 + sqrt(2)",
      "radialFrequencySquared": "8 + 32*sqrt(2)",
      "detuningDerivative": "-8/3"
    },
    {
      "lock": 4,
      "radiusSquared": "-1 + 4*sqrt(15)/15",
      "radialFrequencySquared": "64/15 + 16*sqrt(15)",
      "detuningDerivative": "-15/4"
    }
  ],
  "sources": {
    "experiments/phase-action-radial-checks.py": "7a38f41a4fadddba0f852e689126674bac301d0353045a77bce8777d0a3146d9"
  },
  "scope": "Radial trapping for nonzero conserved block angular momenta in the fixed-norm collective action; no full-field stability or integer selection."
}