{
  "seed": 2852,
  "device": "cpu (CUDA convolution backend fallback)",
  "mechanism_predictions": [
    {
      "prediction": "A Fourier x-mode of frequency k is attenuated by exp(-h*k^2)",
      "k": 3.0,
      "h": [0.01, 0.025, 0.05, 0.1, 0.2],
      "observed": [0.9082805095, 0.7859371894, 0.6167106243, 0.3815431057, 0.1636383887],
      "predicted": [0.9139311853, 0.7985162188, 0.6376281516, 0.4065696597, 0.1652988882],
      "max_relative_error": 0.0615553904,
      "status": "confirmed within 6.2 percent"
    },
    {
      "prediction": "Characteristic displacement has RMS magnitude proportional to h",
      "h": [0.02, 0.05, 0.1, 0.2],
      "observed_rms_displacement": [0.0230996483, 0.0577491207, 0.1154982413, 0.2309964827],
      "displacement_over_h": [1.1549824133, 1.1549824133, 1.1549824133, 1.1549824133],
      "status": "confirmed exactly in this coordinate grid"
    },
    {
      "prediction": "For gate g in [0,1], the diffusion-transport residual interpolation is nonexpansive in this sampled test",
      "g": [0, 0.25, 0.5, 1.0],
      "observed_norm_ratio": [1.0, 0.7521054199, 0.5082255172, 0.1563923169],
      "max_ratio": 1.0,
      "status": "confirmed for the tested random field"
    }
  ],
  "mini_experiment": {
    "task": "predict one kinetic diffusion-plus-characteristic-transport step on smooth random phase-space fields",
    "steps": 350,
    "baseline": {
      "one_step_validation_mse": 0.0089030014,
      "rollout_mse_1_to_5": [0.0089030014, 0.0082342243, 0.0074185198, 0.0066177333, 0.0059044454],
      "parameters": 44
    },
    "idea": {
      "one_step_validation_mse": 0.0021938602,
      "rollout_mse_1_to_5": [0.0021938602, 0.0043899566, 0.0065025543, 0.0084944041, 0.0104339020],
      "parameters": 12
    }
  }
}