{
  "schema": "apeiron-ap1-m1-exact-initial-junction-tolerances-v1.0",
  "updated_utc": "2026-09-02T17:58:09Z",
  "classification": "M1_EXACT_INITIAL_JUNCTION_TOLERANCES_FROZEN_96_SHELL_HELDOUT_UNSEEN",
  "input_sha256": {
    "APEIRON_AP1_M1_JUNCTION_CONVERGENCE_PILOT_LATEST.json": "c9a65ed48d4fb27af57bb1d13b0963e8f38a8f8d2f165717a614e9a97cd5affb"
  },
  "junction_rule": {
    "rule": "use exact stored HARD-PASS index 0; determine the physical-N offset by Friedmann inversion; test Raychaudhuri independently against a pre-frozen pilot-derived tolerance",
    "rationale": "implements the specified earliest junction without interpolation or mode reinitialization, maximizes distance from the tachyonic onset, and avoids ill-conditioned interpolated-root families",
    "frozen_before_held_out_evaluation": true
  },
  "exploratory_root_scan_role": "independent diagnostic only; no interpolated root is a candidate, checkpoint, or seed",
  "cap_derivation": "The 96-shell held-out must remain within the final 48->64 shell delta or an independently declared Float64/solver representation floor, whichever is larger. The Raychaudhuri ceiling 4e-8 was rounded upward from the visible pilot value 3.6256e-8 and frozen before the 96-shell evaluation; it is also far below the unchanged 8e-5 background residual cap.",
  "thresholds": {
    "heldout_momentum_nodes": 96,
    "evaluation_stride": 2,
    "prefix_intervals": 256,
    "decimal_digits": 80,
    "heldout_delta_caps": {
      "abs_delta_N_physical": 1e-12,
      "relative_delta_required_standard_density": 1e-12,
      "abs_delta_quantum_rho_over_H2": 1e-12,
      "abs_delta_quantum_pressure_over_H2": 1e-12,
      "abs_delta_quantum_chi2_over_scale": 2.5e-15,
      "abs_delta_friedmann_normalized": 1e-20,
      "abs_delta_raychaudhuri_normalized": 1e-12
    },
    "representation_floors": {
      "abs_delta_N_physical": 1e-12,
      "relative_delta_required_standard_density": 1e-12,
      "abs_delta_quantum_rho_over_H2": 1e-12,
      "abs_delta_quantum_pressure_over_H2": 1e-12,
      "abs_delta_quantum_chi2_over_scale": 2.5e-15,
      "abs_delta_friedmann_normalized": 1e-20,
      "abs_delta_raychaudhuri_normalized": 1e-12
    },
    "max_abs_raychaudhuri_normalized": 4e-08,
    "max_abs_friedmann_normalized": 1e-06,
    "max_wronskian_relative_error": 1e-11,
    "require_exact_stored_index": 0,
    "require_positive_standard_density": true,
    "require_positive_inherited_frequency_margin": true
  },
  "curvature_tail_discretization_budget_from_2_to_1": {
    "abs_delta_N_physical": 0.005655378697845492,
    "relative_delta_required_standard_density": 0.022879321580293828,
    "abs_delta_quantum_rho_over_H2": 1.1174697442845654e-14,
    "abs_delta_quantum_pressure_over_H2": 9.055177029602703e-10,
    "abs_delta_quantum_chi2_over_scale": 4.965132555282514e-11,
    "abs_delta_friedmann_normalized": 1.5750706136874802e-27,
    "abs_delta_raychaudhuri_normalized": 4.5275698898883915e-10
  },
  "gates": {
    "pilot_structural_gates_pass": true,
    "exact_stored_index_zero_rule_frozen": true,
    "curvature_tail_4_2_1_budget_complete": true,
    "momentum_24_32_48_64_budget_complete": true,
    "roundoff_60_80_bitwise_stable": true,
    "heldout_96_not_evaluated": true,
    "candidate_not_checkpoint_or_seed": true,
    "fine_probe_below_preregistered_ray_ceiling": true,
    "positive_density_and_frequency_at_exact_state": true,
    "background_and_kernel_not_started": true
  },
  "all_tolerance_freeze_gates_pass": true,
  "tolerances_frozen_before_96_shell_heldout": true,
  "heldout_evaluated": false,
  "checkpoint_released": false,
  "seed_released": false,
  "new_AP1_M1_background_started": false,
  "physical_response_kernel_started": false,
  "next_required": "evaluate the 96-shell exact index-zero probe once; do not change the state rule, budgets, floors or residual ceilings afterwards",
  "claim_boundary": "junction tolerance freeze only; no held-out result, accepted M1 seed, background, response kernel or observable"
}