{
  "protocol": "Hydrogen Matrix Lab 0.3.0 frozen spectroscopy calibration and rotor holdout test",
  "frozen_before_outcomes": true,
  "measured_reference": {
    "source": "NIST Handbook of Basic Atomic Spectroscopic Data, Strong Lines of Hydrogen",
    "url": "https://physics.nist.gov/PhysRefData/Handbook/Tables/hydrogentable2.htm",
    "vacuum_wavelengths_nm": [
      121.566824,
      121.567364
    ],
    "listed_relative_intensities": [
      1000.0,
      500.0
    ],
    "use": "calibrate the temporal scale and test the single-line ideal Coulomb prediction",
    "non_use": "the listed intensities are not treated as a prepared-state population measurement or as 3D density voxels"
  },
  "quantum_reference": {
    "state": "equal coherent ideal-hydrogen 1s + 2p_z superposition",
    "phase_count": 24,
    "training_phase_indices": [0, 3, 6, 9, 12, 15, 18, 21],
    "holdout_phase_indices": [1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23],
    "fit_grid_size": 17,
    "evaluation_grid_size": 33,
    "extent_a0": 10.0
  },
  "rotor_family": {
    "geometry": "two equal tangent 3-spheres in R4, rotating in one plane and perspective-projected into 3D",
    "orientation": "the projected center axis is fixed to the quantum z axis before fitting",
    "parameter_order": [
      "radius_a0",
      "camera_to_radius_ratio",
      "projection_scale",
      "wave_number_per_a0",
      "shell_width_a0",
      "phase_offset_rad"
    ],
    "bounds": [
      [0.35, 4.0],
      [1.3, 10.0],
      [0.5, 12.0],
      [0.0, 8.0],
      [0.15, 4.0],
      [0.0, 6.283185307179586]
    ],
    "optimizer": {
      "name": "scipy differential_evolution",
      "seed": 20260920,
      "maxiter": 35,
      "popsize": 10,
      "polish": true,
      "objective": "mean squared Hellinger distance on training phases only"
    }
  },
  "baselines": [
    "training-phase time mean repeated at every phase",
    "spherical radialization of the training-phase time mean repeated at every phase"
  ],
  "heldout_metrics": [
    "mean total variation distance",
    "mean squared Hellinger distance",
    "mean relative L2 error"
  ],
  "predeclared_acceptance": {
    "all_required": true,
    "criteria": {
      "rotor_heldout_hellinger_below_time_mean": true,
      "heldout_z_centroid_correlation_min": 0.95,
      "opposite_phase_dynamic_nodal_leakage_max": 0.02,
      "opposite_phase_mirror_tv_max": 0.02,
      "full_cycle_probability_max_abs_error": 1e-10
    },
    "interpretation": "Failure rejects this exact projected-envelope rotor family as an adequate generator of the declared quantum reference; success would justify further testing, not physical equivalence."
  },
  "empirical_boundary": "NIST spectroscopy calibrates energy/time only. No measured 3D voxel density exists in this protocol. The 2013 photoionization-microscopy result for hydrogen Stark states is relevant measured nodal evidence but is a different externally driven excited-state experiment and is not used as interchangeable voxel data."
}