{
  "schema": "apeiron-ap1-m1-log-amplitude-moving-chart-reference-checkpoint-v1.0",
  "updated_utc": "2026-09-02T19:12:54Z",
  "classification": "M1_LOG_AMPLITUDE_MOVING_CHART_REFERENCE_PASS_UV_TAIL_HANDOFF_OPEN_LONG_BACKGROUND_BLOCKED",
  "authority_sha256": {
    "AP1/APEIRON_AP1_M1_JUNCTION_128_SEED_CHECKPOINT_LATEST.json": "cf946bfcde4c10a36d5eee99a18fe1a8745483e111304d52f4cc17b3fdf103b4",
    "AP1/APEIRON_AP1_M1_JUNCTION_128_SEED_LATEST.npz": "644126925fcff32df6f881ee604787751dbe48829072671bf541552bd65dc729",
    "AP1/APEIRON_AP1_M1_BACKGROUND_MULTISCALE_PREFLIGHT_LATEST.json": "c58ee0221e284dc9a5a892cae68b31138b4f3b9c7634f2570880e4f1086d0d60",
    "AP1/APEIRON_AP1_M1_LOG_AMPLITUDE_TRANSPORT_PILOT_20260902T190935Z.json": "3f3bbc16fc7f525d2ba4356b43b5bc0dc24e69230e1a2d7b6d980334b3e8396d",
    "AP1/APEIRON_AP1_M1_LOG_AMPLITUDE_TRANSPORT_TOLERANCES_20260902T191009Z.json": "1b41b4bc8359603b279a38d319ea1c61335c168faf074236a43efda339042f6b",
    "AP1/APEIRON_AP1_M1_LOG_AMPLITUDE_TRANSPORT_HELDOUT_20260902T191026Z.json": "4ba0e1a590fe0a607893ca8cce64c72f756fe963776b0cafbc171d6deaf24281",
    "AP1/CODE/ap1_m1_background_multiscale_preflight.py": "1482b548881af15983b3887434b99713fe0547f3a1e23536e001b3e679b43488",
    "AP1/CODE/ap1_r2c_high_precision_modes.py": "3b76dc1bba339fc7576381661b7a0099501231154f45cf9bb2eba3db16f0d484",
    "AP1/CODE/chi_background_closure.py": "1097888c72fbe9152e1905a2a3ab37c15df9ca681639571b87d76de6ddf072a7",
    "AP1/CODE/ap1_m1_log_amplitude_transport_reference.py": "129cf197f08a178eab43c52a2fd9946d161945d16e19ff7f49cdf1d1b12ea523",
    "AP1/CODE/test_ap1_m1_log_amplitude_transport_reference.py": "d49efcf774e8507d996e69a8df11372b1bcaa4593a7048e967a7067a8affdd96"
  },
  "chronology": {
    "pilot_updated_utc": "2026-09-02T19:10:05Z",
    "tolerance_freeze_updated_utc": "2026-09-02T19:10:19Z",
    "heldout_updated_utc": "2026-09-02T19:11:32Z",
    "tolerances_frozen_before_heldout": true,
    "pilot_and_heldout_momentum_shells_disjoint": true,
    "heldout_evaluated_once_after_final_freeze": true,
    "transient_nonpass_artifacts_retained": 0,
    "transient_nonpass_used_as_checkpoint_or_seed": false,
    "accepted_chain_diagnostic_envelope_integrations": 4,
    "transient_diagnostic_envelope_integrations": 8
  },
  "representation": {
    "canonical_mode": "u=a^(3/2) chi",
    "log_amplitude": "L=log(abs(u))",
    "riccati_ratio": "R=v/u=x+i beta",
    "equations_in_N": {
      "dL_dN": "x/H",
      "dx_dN": "(-Omega2-x^2+beta^2)/H",
      "dlog_minus_beta_dN": "-2x/H",
      "dphase_dN": "beta/H"
    },
    "wronskian_log_invariant": "log(2)+2L+log(-beta)-log(W)=0",
    "physical_to_comoving_seed_map": "k_comoving=q_seed*exp(N_seed)",
    "moving_chart_handoff": "transport L,x,log(-beta),phase,W at overlap; never reinitialize vacuum"
  },
  "pilot": {
    "relative_N_endpoints": [0.01, 0.02, 0.03],
    "mode_indices": [0, 16, 48, 80, 112, 127],
    "tachyonic_windows": 0,
    "all_pilot_gates_pass": true,
    "checkpoint_eligible": false
  },
  "heldout": {
    "relative_N_endpoints": [0.065, 0.08, 0.1],
    "mode_indices": [1, 8, 32, 64, 96, 126],
    "windows": 3,
    "tachyonic_windows": 3,
    "max_seed_frequency_relative_error": 4.2856478200091224e-16,
    "max_physical_momentum_transport_relative_error": 2.0268552558853834e-16,
    "max_abs_log_amplitude_vs_decimal80": 1.6078760545212845e-7,
    "max_decimal_time_grid_relative_delta": 1.5904449585431153e-6,
    "max_decimal_60_to_80_relative_delta": 0.0,
    "max_riccati_refinement_log_amplitude_delta": 8.847724330962592e-8,
    "max_chart_overlap_error": 1.5763233062943133e-8,
    "max_log_wronskian_relative_error": 2.57571741713033e-14,
    "max_decimal_wronskian_relative_error": 5.5999999998e-70,
    "direct_complex_reconstruction_wronskian_relative_error_cancellation_diagnostic_only": 6.09230303982855e-8
  },
  "frozen_thresholds": {
    "max_abs_log_amplitude_vs_decimal80": 5.0e-5,
    "max_decimal_time_grid_relative_delta": 5.0e-5,
    "max_decimal_60_to_80_relative_delta": 1.0e-13,
    "max_riccati_refinement_log_amplitude_delta": 1.3890470427213586e-6,
    "max_chart_overlap_error": 4.712524224212767e-5,
    "max_initial_seed_or_momentum_map_relative_error": 1.0e-12,
    "max_wronskian_relative_error": 1.0e-11,
    "required_tachyonic_windows": 3
  },
  "gates": {
    "authority_hashes_exact": true,
    "pilot_complete_before_tolerance_freeze": true,
    "tolerance_freeze_precedes_heldout": true,
    "all_registered_heldout_windows_tachyonic": true,
    "seed_frequency_and_momentum_map_below_frozen_cap": true,
    "log_amplitude_matches_independent_decimal_below_frozen_cap": true,
    "decimal_time_grid_delta_below_frozen_cap": true,
    "decimal_rounding_delta_below_frozen_cap": true,
    "riccati_refinement_below_frozen_cap": true,
    "moving_chart_overlap_below_frozen_cap": true,
    "log_and_decimal_wronskians_below_existing_cap": true,
    "no_handoff_vacuum_reset": true,
    "all_12_reference_tests_pass": true,
    "all_52_junction_architecture_reference_tests_pass_together": true,
    "no_background_candidate_or_kernel_started": true
  },
  "all_checkpoint_gates_pass": true,
  "checkpoint_eligible": true,
  "tests": {
    "new_reference_tests_passed": 12,
    "junction_architecture_reference_tests_executed_together": 52,
    "cumulative_registered_project_tests_passed": 170
  },
  "new_AP1_M1_background_runs": 0,
  "trajectory_rows_persisted": 0,
  "background_candidate_assessed": false,
  "background_tolerances_frozen": false,
  "physical_response_kernel_started": false,
  "seed_released": false,
  "nonpass_stored_or_used_as_seed": false,
  "equations_changed": false,
  "physics_changed": false,
  "parameters_changed": false,
  "existing_gate_thresholds_changed": false,
  "validated_scope": "already-seeded mode overlap transport through short tachyonic diagnostic prefixes in independent log-amplitude/Riccati variables",
  "unvalidated_scope": "adiabatic UV-tail-to-resolved entry of new modes, signed high-precision PV source cancellation on the moving split, coupled backreaction, long AP1-M1 background and physical response kernel",
  "claim_boundary": "G27 numerical mode-reference checkpoint only; no physical background, UV-tail entry, kernel, observable, curve, fit or significance",
  "next_required": "implement and validate the adiabatic UV-tail-to-resolved boundary handoff and signed high-precision PV cancellation before any long background pilot"
}
