{
  "task": "T15b",
  "protocolVersion": 2,
  "experiment": "Masoliver-Lindenberg fluid-limit telegraph comparison",
  "model": "ordinary constant-speed persistent random flight on the Euclidean plane",
  "protocol": {
    "seed": 1502702,
    "walkersPerObservationTime": 250000,
    "speed": 1.0,
    "poissonResetRate": 1.0,
    "initialHeading": "uniform on [0, 2 pi)",
    "resetHeading": "independent uniform on [0, 2 pi)",
    "initialPosition": "origin on the unbounded plane",
    "observationLambdaTimes": [
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      16.0,
      32.0,
      64.0,
      128.0
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    "scaledFourierModes": [
      0.5,
      1.0,
      1.5
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      0.0625,
      0.03125,
      0.015625
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    "transformRaySlopesCkOverS": [
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      1.0,
      2.0
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    "sampling": "exact Poisson counts and conditional Dirichlet segment fractions; independent uniform headings",
    "observable": "empirical mean of cos(k X_1), equal by isotropy to the radial Fourier characteristic"
  },
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    "mlTelegraphEquation": "p_tt + (lambda/2)*p_t = (c^2/4)*Delta(p)",
    "mlEffectiveSpeed": 0.5,
    "mlDampingRate": 0.5,
    "diffusionCoefficient": 0.5
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      "analyticMeanSquaredDisplacement": 254.0,
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  ],
  "checks": {
    "transformRelativeErrorDeclinesOnEveryRay": true,
    "simulatedModeAbsoluteDifferencesByKappa": {
      "0.5": [
        0.02137898947594208,
        0.00872922619101657,
        0.003429871867014711,
        0.002128429636415352,
        0.0010548608811201676
      ],
      "1.0": [
        0.011237127943300729,
        0.008823576625245688,
        0.006312203822865348,
        0.0023556624603900955,
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      "1.5": [
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    },
    "allMsdEstimatesWithinThreeStandardErrors": true
  },
  "interpretation": "The transform table probes the small-s, small-k fluid approximation directly. The seeded path comparison probes long-time, long-distance modes at fixed k*sqrt(D*t); neither establishes an exact finite-scale telegraph law or pointwise agreement at the ballistic front.",
  "provenance": {
    "createdUtc": "2026-09-26T19:38:45.852321+00:00",
    "gitRevision": "e424519b3f0ae125b49559c20fb8a6a0a9a917bd",
    "python": "3.12.14",
    "numpy": "2.3.5"
  }
}