{
  "release": "0.7.0",
  "title": "Golden-ratio exactness and coincidence audit",
  "frozen_before_execution": true,
  "scope": [
    "exact algebraic identities in Q(sqrt(5))",
    "Fibonacci recurrence and companion matrix",
    "golden-angle rotation on a finite fixed tick grid",
    "all ideal fixed-proton Coulomb bound-state transition-gap ratios with 1 <= n < m <= 40",
    "icosahedral coordinate construction",
    "E8 mass-ratio identity 2 cos(pi/5)"
  ],
  "definitions": {
    "phi": "(1 + sqrt(5))/2",
    "golden_turn_fraction": "1/phi^2 = (3 - sqrt(5))/2",
    "golden_angle_radians": "2*pi/phi^2",
    "exact_manifestation": "a symbolic consequence of the declared equations or geometry",
    "construction_imposed": "phi is inserted into a coordinate, sampler, or parameter choice",
    "approximate_match": "a finite numerical residual without symbolic equality",
    "measured_manifestation": "a measured system whose declared theory predicts a phi-related observable"
  },
  "finite_search": {
    "hydrogen_n_max": 40,
    "compare_every_distinct_pair_of_transition_gaps": true,
    "golden_turn_convergent_max_fibonacci_index": 18,
    "display_prefix_points": 144
  },
  "admission_rules": [
    "A numerical near-match is not promoted to an exact manifestation.",
    "An imposed phi parameter is not evidence that the tested physical system selected phi.",
    "The rationality proof, not the finite scan, decides exact ideal-hydrogen exclusion.",
    "A finite fixed angular grid cannot represent the irrational golden-turn fraction exactly.",
    "External E8, phyllotaxis, and quasicrystal evidence is not transferred to hydrogen without a derived coupling and fresh prediction."
  ]
}