{ "schema": "apeiron-ap1-m1-coupled-moving-split-background-heldout-v1.0", "updated_utc": "2026-09-02T20:40:47Z", "classification": "COUPLED_MOVING_SPLIT_BOUNDED_BACKGROUND_HELDOUT_PASS_LONG_EXTENSION_OPEN", "authority_sha256": { "AP1/APEIRON_AP1_M1_UV_TAIL_HANDOFF_REFERENCE_CHECKPOINT_LATEST.json": "e97b499ddd8ab6c714abc57ccb27a210a5ea6b61bf30a1c184d476291477904c", "AP1/APEIRON_AP1_M1_UV_TAIL_HANDOFF_HELDOUT_LATEST.json": "9d27fc6c19fccc59e63cb76e3f00c67012809ff070554dece3562fcb539fa7bc", "AP1/APEIRON_AP1_M1_BACKGROUND_MULTISCALE_PREFLIGHT_LATEST.json": "c58ee0221e284dc9a5a892cae68b31138b4f3b9c7634f2570880e4f1086d0d60", "AP1/APEIRON_AP1_M1_BACKGROUND_SPEC_LATEST.md": "9a565aef648f4a7229941bf9efa5c51a754fd4763dd11e59e8032701d6ed0259", "AP1/APEIRON_AP1_M1_JUNCTION_128_SEED_CHECKPOINT_LATEST.json": "cf946bfcde4c10a36d5eee99a18fe1a8745483e111304d52f4cc17b3fdf103b4", "AP1/APEIRON_AP1_M1_JUNCTION_128_SEED_LATEST.npz": "644126925fcff32df6f881ee604787751dbe48829072671bf541552bd65dc729", "AP1/CODE/ap1_m1_background_multiscale_preflight.py": "1482b548881af15983b3887434b99713fe0547f3a1e23536e001b3e679b43488", "AP1/CODE/ap1_m1_uv_tail_handoff_reference.py": "567c261cb5938f554984ca0bd695b1f551608d962556e16293fcc02bfa91459a", "AP1/CODE/ap1_m1_log_amplitude_transport_reference.py": "129cf197f08a178eab43c52a2fd9946d161945d16e19ff7f49cdf1d1b12ea523", "AP1/CODE/ap1_r2c_self_consistent_candidate.py": "2c22454f69817ecdc40d38dacad0efaa72fdddcfa50c9c00a48478d610ed8cb0", "AP1/CODE/chi_background_closure.py": "1097888c72fbe9152e1905a2a3ab37c15df9ca681639571b87d76de6ddf072a7", "AP1/CODE/planck2018_neutrino_closure.py": "ccd3158930dcb9ab74d7634ed06f2eaa00745ac95e2883f9fe02d9039a056acc", "APEIRON_AP1_M1_COUPLED_MOVING_SPLIT_BACKGROUND_PILOT_20260902T203807Z.json": "ede9e6def57d7aa017b7883050ae33b181a6d30c7107d212b952cfdd7b8c0da7", "APEIRON_AP1_M1_COUPLED_MOVING_SPLIT_BACKGROUND_TOLERANCES_20260902T203822Z.json": "42aca6dd5678ba0a42219fdc21a2b813f5f96bb661792cb73dc50945a5bdefdb", "AP1/CODE/ap1_m1_coupled_moving_split_background.py": "3b6f2b38d047db3cb9510af9c2c92ef9c80c2c1ca16c40212f7e7c354a76f400" }, "frozen_thresholds": { "max_fixed_point_source_gross_relative_change": 1e-09, "max_background_time_relative_delta": 5.7012432733224805e-09, "max_source_time_gross_relative_delta": 1e-09, "max_entry_quadrature_gross_relative_delta": 1e-09, "max_tail_quadrature_gross_relative_delta": 1.4497629979941234e-07, "max_uv_cutoff_gross_relative_delta": 1e-09, "max_friedmann_normalized": 1.0366345369211621e-07, "max_raychaudhuri_normalized": 2.6566981349710417e-06, "ward_normalized": 0.003989384570549522, "standard_continuity_normalized": 4.736313950865028e-09 }, "heldout_was_unseen_when_tolerances_frozen": true, "heldout_ensemble": { "phase": "heldout", "fine_run_config": { "span_N": 0.02, "nodes": 1025, "background_rtol": 2e-10, "max_mode_step_N": 1.25e-05, "entry_nodes_per_panel": 2, "tail_nodes_per_octave": 4, "K_over_Lambda": 64.0, "adiabatic_support_nodes": 1025, "adiabatic_momentum_support_nodes": 257 }, "coarse_time_run_config": { "span_N": 0.02, "nodes": 513, "background_rtol": 2e-09, "max_mode_step_N": 2.5e-05, "entry_nodes_per_panel": 2, "tail_nodes_per_octave": 4, "K_over_Lambda": 64.0, "adiabatic_support_nodes": 513, "adiabatic_momentum_support_nodes": 257 }, "fine_iteration_log": [ { "iteration": 1, "source_gross_relative_change": 3.3559307596207716e-08, "source_signed_relative_change_diagnostic_not_gated": 1.0835354243413975, "H_endpoint_Mpl": 4.2836775455287584e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089627636398584e-06 }, { "iteration": 2, "source_gross_relative_change": 3.3559386003316108e-09, "source_signed_relative_change_diagnostic_not_gated": 0.1468795934173754, "H_endpoint_Mpl": 4.2836775280413916e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089627632292478e-06 }, { "iteration": 3, "source_gross_relative_change": 3.3559460943313715e-10, "source_signed_relative_change_diagnostic_not_gated": 0.06406239490013117, "H_endpoint_Mpl": 4.283677526292534e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.908962763188186e-06 }, { "iteration": 4, "source_gross_relative_change": 3.355957062457997e-11, "source_signed_relative_change_diagnostic_not_gated": 0.05508045680547158, "H_endpoint_Mpl": 4.2836775261144234e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089627631840785e-06 }, { "iteration": 5, "source_gross_relative_change": 3.3559630483682145e-12, "source_signed_relative_change_diagnostic_not_gated": 0.053989651560488836, "H_endpoint_Mpl": 4.2836775260970317e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089627631836676e-06 }, { "iteration": 6, "source_gross_relative_change": 3.35596885287179e-13, "source_signed_relative_change_diagnostic_not_gated": 0.04082928072101628, "H_endpoint_Mpl": 4.283677526095112e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.908962763183626e-06 } ], "coarse_iteration_log": [ { "iteration": 1, "source_gross_relative_change": 3.3559550134815484e-08, "source_signed_relative_change_diagnostic_not_gated": 1.0848915671265507, "H_endpoint_Mpl": 4.2836775455287637e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089634325306972e-06 }, { "iteration": 2, "source_gross_relative_change": 3.355962854313317e-09, "source_signed_relative_change_diagnostic_not_gated": 0.15709838835592924, "H_endpoint_Mpl": 4.2836775280302224e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089634321204576e-06 }, { "iteration": 3, "source_gross_relative_change": 3.355970347950325e-10, "source_signed_relative_change_diagnostic_not_gated": 0.10890289873310652, "H_endpoint_Mpl": 4.283677526288786e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089634320794354e-06 }, { "iteration": 4, "source_gross_relative_change": 3.355983790254327e-11, "source_signed_relative_change_diagnostic_not_gated": 0.11214079962551288, "H_endpoint_Mpl": 4.283677526101933e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.90896343207533e-06 }, { "iteration": 5, "source_gross_relative_change": 3.3559402805254377e-12, "source_signed_relative_change_diagnostic_not_gated": 0.05416174322659608, "H_endpoint_Mpl": 4.2836775260946357e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.908963432074922e-06 }, { "iteration": 6, "source_gross_relative_change": 3.3559459641487237e-13, "source_signed_relative_change_diagnostic_not_gated": 0.04095929744535203, "H_endpoint_Mpl": 4.283677526092141e-07, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.908963432074881e-06 } ], "physical_diagnostics": { "evaluation_start_N": 0.0125, "evaluation_nodes": 383, "all_background_values_finite": true, "positive_H": true, "min_total_density_Mpl4": 5.504967977668407e-13, "min_PX": 1.0523451240627972, "min_K": 1.052350229025336, "max_friedmann_normalized": 4.084332555323538e-09, "max_raychaudhuri_normalized": 4.060343628689741e-09, "ward_normalized": 0.0008750230466406364, "ward_evaluation": "resolved_bulk_mode_EOM_plus_direct_boundary_flux_plus_independently_differentiated_local_tail", "cancelled_total_finite_difference_ward_diagnostic_not_gated": 1.0, "max_boundary_direct_expanded_gross_relative_delta": 1.0073699918643361e-16, "standard_continuity_normalized": 1.480647176482192e-10, "junction_raychaudhuri_normalized": 1.2085015391362286e-08, "H_endpoint_Mpl": 4.283677526095023e-07, "delta_H_over_H": -0.0030799728213749544, "physical_N_endpoint": -56.952445940228785, "present_anchor_reached": false }, "time_convergence": { "background_relative_delta_by_field": { "sigma": 1.4268097324544065e-13, "sigmadot": 2.6432169114225527e-11, "theta": 1.301433580274552e-14, "thetadot": 5.213276950666728e-13, "H": 3.609112592430891e-12 }, "source_gross_relative_delta_by_source": { "rho": 1.7834906119599723e-17, "pressure": 3.3717816036909057e-15, "chi2": 4.98940422642082e-13 }, "max_background_time_relative_delta": 2.6432169114225527e-11, "max_source_time_gross_relative_delta": 4.98940422642082e-13 }, "operator_convergence": { "entry_quadrature_gross_relative_delta_by_source": { "rho": 1.911193284418832e-19, "pressure": 3.3991130252731983e-15, "chi2": 4.982211935389994e-13 }, "tail_quadrature_gross_relative_delta_by_source": { "rho": 2.2853145821891394e-13, "pressure": 2.72386853233554e-12, "chi2": 2.2655579456434034e-09 }, "uv_cutoff_gross_relative_delta_by_source": { "rho": 5.993016761625213e-17, "pressure": 4.54575451135872e-16, "chi2": 3.1874584981983385e-15 }, "max_entry_quadrature_gross_relative_delta": 4.982211935389994e-13, "max_tail_quadrature_gross_relative_delta": 2.2655579456434034e-09, "max_uv_cutoff_gross_relative_delta": 3.1874584981983385e-15, "coarse_entry_diagnostics": { "seed_modes": 128, "new_entry_quadrature_modes": 1024, "final_resolved_modes": 1152, "max_log_wronskian_identity_error": 1.6653345369377348e-15, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089636768775645e-06, "min_entry_W_Mpl": 0.0013816524761040513, "max_abs_entry_W2_over_W0": 4.2086927446537444e-08, "max_abs_entry_W4_over_W0": 3.8765509219055704e-12, "max_handoff_state_relative_error": 1.5852377484847148e-16, "max_initial_handoff_wronskian_relative_error": 2.220446049250313e-16, "vacuum_resets": 0, "entry_measure": "q_cut^3*exp(3*N_entry)/(2*pi^2) dN_entry", "adiabatic_support_nodes": 1025, "adiabatic_momentum_support_nodes": 257, "max_local_to_independent_fixed_k_state_relative_delta": 5.6545989141382026e-11 }, "coarse_tail_diagnostics": { "nodes": 14, "segments": 7, "adiabatic_support_nodes": 1025, "adiabatic_momentum_support_nodes": 257, "K_over_Lambda": 64.0, "min_tail_omega2_Mpl2": 2.5571953251977785e-06, "min_tail_W_Mpl": 0.0015991232497105316, "max_abs_tail_W2_over_W0": 4.173962764587513e-08, "max_abs_tail_W4_over_W0": 2.327195118655107e-12, "max_last_octave_signed_to_gross_ratio": 2.0212571205146538e-10, "asymptotic_order12_rho_last_term_abs": 1.6364499347023695e-42, "max_boundary_direct_expanded_gross_relative_delta": 1.0073699918643361e-16, "max_local_to_independent_fixed_k_source_gross_relative_delta": 5.601966158302263e-10 }, "coarse_uv_diagnostics": { "nodes": 24, "segments": 6, "adiabatic_support_nodes": 1025, "adiabatic_momentum_support_nodes": 257, "K_over_Lambda": 32.0, "min_tail_omega2_Mpl2": 2.1013780267856887e-06, "min_tail_W_Mpl": 0.0014496130167364857, "max_abs_tail_W2_over_W0": 4.276969106511094e-08, "max_abs_tail_W4_over_W0": 3.28359369654923e-12, "max_last_octave_signed_to_gross_ratio": 1.2778999051898949e-08, "asymptotic_order12_rho_last_term_abs": 1.7159421267304718e-36, "max_boundary_direct_expanded_gross_relative_delta": 1.0073699918643361e-16, "max_local_to_independent_fixed_k_source_gross_relative_delta": 5.1042863245939476e-11 } }, "precision": { "sample_points": [ { "N_relative": 0.0125, "sources": { "rho": { "signed_decimal80": "-3.59456426E-21", "gross_abs_decimal80": "0.00002380446502262114960543574", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 5.1434453397719776e-17, "cancellation_ratio": 1.510037825502115e-16 }, "pressure": { "signed_decimal80": "-2.17245692E-19", "gross_abs_decimal80": "0.000007921803610138139045692", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 8.135374595139223e-18, "cancellation_ratio": 2.742376644151769e-14 }, "chi2": { "signed_decimal80": "2.993650526825E-11", "gross_abs_decimal80": "0.00218889574894498521175", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 1.1587582465827837e-17, "cancellation_ratio": 1.36765331481314e-08 } } }, { "N_relative": 0.01623046875, "sources": { "rho": { "signed_decimal80": "-1.34519838E-20", "gross_abs_decimal80": "0.0000238044645240289085480162", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 8.203741647137958e-18, "cancellation_ratio": 5.651033984159225e-16 }, "pressure": { "signed_decimal80": "-2.975062966E-20", "gross_abs_decimal80": "0.00000792180377550769355062966", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 3.7518372307995244e-17, "cancellation_ratio": 3.755537312345677e-15 }, "chi2": { "signed_decimal80": "4.920593529034E-11", "gross_abs_decimal80": "0.00218889592099675330966", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 8.526196618568089e-17, "cancellation_ratio": 2.2479796694916945e-08 } } }, { "N_relative": 0.0199609375, "sources": { "rho": { "signed_decimal80": "-2.92847781E-20", "gross_abs_decimal80": "0.0000238044639156506335152219", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 3.9697384523198645e-17, "cancellation_ratio": 1.230222121521764e-15 }, "pressure": { "signed_decimal80": "8.866866824E-20", "gross_abs_decimal80": "0.00000792180397728843213133176", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 4.506879121682169e-19, "cancellation_ratio": 1.1192989437028527e-14 }, "chi2": { "signed_decimal80": "7.320087639289E-11", "gross_abs_decimal80": "0.00218889613142985110711", "decimal_60_to_80_gross_relative_delta": 0.0, "float64_to_decimal80_gross_relative_delta": 2.2465424144122266e-17, "cancellation_ratio": 3.344191409624953e-08 } } } ], "max_decimal_60_to_80_gross_relative_delta": 0.0, "max_float64_to_decimal80_gross_relative_delta": 8.526196618568089e-17, "min_PV_cancellation_ratio": 1.510037825502115e-16, "max_PV_cancellation_ratio": 3.344191409624953e-08 }, "source_diagnostics": { "resolved": { "seed_modes": 128, "new_entry_quadrature_modes": 2048, "final_resolved_modes": 2176, "max_log_wronskian_identity_error": 1.6653345369377348e-15, "max_wronskian_relative_error": 1.6653345369377362e-15, "min_entry_omega2_Mpl2": 1.9089627631836227e-06, "min_entry_W_Mpl": 0.0013816521454581814, "max_abs_entry_W2_over_W0": 4.208775125334703e-08, "max_abs_entry_W4_over_W0": 3.888810169516684e-12, "max_handoff_state_relative_error": 1.5852335637476846e-16, "max_initial_handoff_wronskian_relative_error": 2.220446049250313e-16, "vacuum_resets": 0, "entry_measure": "q_cut^3*exp(3*N_entry)/(2*pi^2) dN_entry", "adiabatic_support_nodes": 1025, "adiabatic_momentum_support_nodes": 257, "max_local_to_independent_fixed_k_state_relative_delta": 5.6545989141382026e-11 }, "tail": { "nodes": 28, "segments": 7, "adiabatic_support_nodes": 1025, "adiabatic_momentum_support_nodes": 257, "K_over_Lambda": 64.0, "min_tail_omega2_Mpl2": 2.1013780259418203e-06, "min_tail_W_Mpl": 0.0014496130164454177, "max_abs_tail_W2_over_W0": 4.2769691726508956e-08, "max_abs_tail_W4_over_W0": 3.2835937275442935e-12, "max_last_octave_signed_to_gross_ratio": 2.0278283849231132e-10, "asymptotic_order12_rho_last_term_abs": 1.6364499347023695e-42, "max_boundary_direct_expanded_gross_relative_delta": 1.0073699918643361e-16, "max_local_to_independent_fixed_k_source_gross_relative_delta": 5.601966158302263e-10 }, "junction_pre_enforcement": { "rho": 4.032605172477843e-21, "pressure": 3.4737879969061896e-20, "chi2": -9.135450156542616e-16 }, "junction_stored": { "rho": 2.5653546520792134e-21, "pressure": 5.953926906537879e-21, "chi2": 1.76848777097136e-15 }, "junction_source_gross_relative_delta_by_source": { "rho": 6.163761590329816e-17, "pressure": 3.633510173738734e-15, "chi2": 1.225290478220961e-12 }, "max_junction_source_gross_relative_delta": 1.225290478220961e-12, "junction_values_enforced_exactly": true, "renormalization_constants_unchanged": true, "source_values_real": true, "source_values_finite": true }, "metrics_for_freeze_or_gate": { "max_fixed_point_source_gross_relative_change": 3.3559761085824485e-14, "max_background_time_relative_delta": 2.6432169114225527e-11, "max_source_time_gross_relative_delta": 4.98940422642082e-13, "max_entry_quadrature_gross_relative_delta": 4.982211935389994e-13, "max_tail_quadrature_gross_relative_delta": 2.2655579456434034e-09, "max_uv_cutoff_gross_relative_delta": 3.1874584981983385e-15, "max_friedmann_normalized": 4.084332555323538e-09, "max_raychaudhuri_normalized": 4.060343628689741e-09, "ward_normalized": 0.0008750230466406364, "standard_continuity_normalized": 1.480647176482192e-10 }, "trajectory_rows_persisted": 0, "new_AP1_M1_background_runs": 2 }, "gates": { "pilot_and_freeze_hash_bound_before_heldout": true, "registered_disjoint_heldout_interval_used_once": true, "finite_real_quantum_and_background": true, "positive_expanding_branch": true, "hyperbolicity_PX_and_K_positive": true, "entry_and_tail_frequencies_positive": true, "no_vacuum_reset_and_exact_handoff": true, "local_convective_derivative_matches_independent_fixed_k_reference": true, "direct_and_expanded_boundary_flux_close": true, "wronskian_below_existing_limit": true, "junction_quantum_triplet_enforced_exactly": true, "junction_raychaudhuri_within_predeclared_cap": true, "decimal_precision_below_predeclared_cap": true, "float64_decimal80_agreement_below_predeclared_cap": true, "last_uv_octave_below_predeclared_cap": true, "present_anchor_not_claimed": true, "max_fixed_point_source_gross_relative_change_below_frozen_threshold": true, "max_background_time_relative_delta_below_frozen_threshold": true, "max_source_time_gross_relative_delta_below_frozen_threshold": true, "max_entry_quadrature_gross_relative_delta_below_frozen_threshold": true, "max_tail_quadrature_gross_relative_delta_below_frozen_threshold": true, "max_uv_cutoff_gross_relative_delta_below_frozen_threshold": true, "max_friedmann_normalized_below_frozen_threshold": true, "max_raychaudhuri_normalized_below_frozen_threshold": true, "ward_normalized_below_frozen_threshold": true, "standard_continuity_normalized_below_frozen_threshold": true, "no_two_time_kernel_seed_observable_or_curve": true }, "all_heldout_gates_pass": true, "checkpoint_eligible": true, "new_AP1_M1_background_runs": 4, "bounded_background_candidate_assessed": true, "long_background_candidate_assessed": false, "bounded_background_tolerances_frozen": true, "production_background_tolerances_frozen": false, "trajectory_rows_persisted": 0, "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, "claim_boundary": "bounded coupled held-out background reference only; no present anchor, production trajectory, kernel, observable, curve, fit or significance", "next_required": "promote a G29 checkpoint and then extend the same moving-split architecture through staged logarithmic background windows" }