{
  "method": "Closed-form sinusoidal particular solution plus homogeneous transient during pulse; free homogeneous response afterward. Critical damping evaluated separately. No numerical ODE integrator.",
  "scope": "Comparison at identical 0.5 ms sample times over4s. Does not bound continuous-time extrema or validate physical assumptions.",
  "summary": {
    "cases": 54,
    "max_peak_difference_g": 5.439283761177194e-07,
    "max_travel_difference_m": 5.678521264318448e-09,
    "all_gates_agree": true
  },
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}