{ "frames_summary": { "n_frames": 50, "t_range": [ 0.4, 20.0 ] }, "overall_verdict": { "categories": [ { "name": "Substrate identities", "verdict": "PASS" }, { "name": "Energy conservation", "verdict": "PASS" }, { "name": "Covariant Gauss residual", "verdict": "PASS" }, { "name": "Time reversibility", "verdict": "PASS" }, { "name": "Migdal-Witten analytical target", "verdict": "PASS" }, { "name": "Gauge invariance", "verdict": "PASS" }, { "name": "Microcanonical vs canonical", "verdict": "FAIL" }, { "name": "Beta-scan", "verdict": "PASS" }, { "name": "Operational beta envelope", "verdict": "PASS" }, { "name": "Sector classifier", "verdict": "NOT_APPLICABLE" } ], "failing": 1, "not_run": 0, "passing": 8, "summary": "8/10 PASS, 1 FAIL", "total": 10 }, "report_metadata": { "beta_envelope_history_source": "inertia_damping\\reports\\run_20260617_110642\\final_state.npz", "code_commit": "74b960fa6d5f52fb47a76b80c938aeadc8a89762", "generated_at": "2026-06-17 11:55:16 Pacific Daylight Time", "json_artifact_basename": "validation_report_20260617_115516.json", "report_version": "halcyon_v1", "run_identifier": "halcyon_dde14a276d54", "sector_classifier_state_source": "inertia_damping\\reports\\run_20260617_110642\\final_state.npz", "sem_convention": "flyvbjerg_petersen_blocked", "sha256sums": [ { "path": "reports\\run_20260617_110642\\trajectory.json", "sha256": "dde14a276d5478dec0071a8dbc3e6314890503006c7ce03e0545376be9f2f296", "sha256_12": "dde14a276d54", "size_bytes": 185892 }, { "path": "buckyball_graph.py", "sha256": "0f46ccd2ebc2afaf26a90a4c6b5be937617e82ce9d02ba24e8fb11da8d4b69cd", "sha256_12": "0f46ccd2ebc2", "size_bytes": 8878 }, { "path": "buckyball_action.py", "sha256": "7958d2d9dbf469fdf910f8ba288c58f6e32f34cb8142e4bba35cbd2d0d94741c", "sha256_12": "7958d2d9dbf4", "size_bytes": 9876 }, { "path": "buckyball_heatbath.py", "sha256": "ffd7cc76a6151019c2126c7b36a60c185c92c275800e5a810021075f5fd8c24a", "sha256_12": "ffd7cc76a615", "size_bytes": 11371 }, { "path": "buckyball_integrator.py", "sha256": "e7746f7159b077407caea746a456cc03711ddd4110c97b7ee2020e469c62b8cb", "sha256_12": "e7746f7159b0", "size_bytes": 31039 }, { "path": "buckyball_yangmills_exact.py", "sha256": "709b7f8e249c638c131b49114c18ea5c2bb13fc021c747db75ef117a52642048", "sha256_12": "709b7f8e249c", "size_bytes": 7190 }, { "path": "buckyball_observables.py", "sha256": "71dcf847fa1237a9eb360c75cf95dcfc4acae027ca98141f932c016cdc59d672", "sha256_12": "71dcf847fa12", "size_bytes": 28782 }, { "path": "reports\\run_20260617_110642\\final_state.npz", "sha256": "26c8f186d01d5fe780780844aa1e1ad6b73d491b143b01d357a41ae96fb2a52d", "sha256_12": "26c8f186d01d", "size_bytes": 272300 } ], "sidecar_path": "reports\\run_20260617_110642\\final_state.npz", "system_info": { "library_versions": { "numpy": "2.4.0", "scipy": "1.16.3", "torch": "2.11.0.dev20260108+cu128" }, "machine": "AMD64", "platform": "Windows-11-10.0.26200-SP0", "python_version": "3.12.10" }, "tolerance_derivations": [ { "conservative_factor": "~100x looser than expected; absorbs prefactor + cross-platform FP variation", "expected_residual": 4e-06, "key": "energy_drift_rel", "source_template": "Leapfrog is a 2nd-order symplectic integrator. By backward error analysis (Hairer-Lubich-Wanner) it exactly conserves a modified Hamiltonian H_dt differing from H by O(dt^2), so |H(t) - H(0)| / |H_0| is bounded by C * dt^2 over exponentially long times rather than growing secularly. At dt={dt} this gives ~dt^2 ~ {dt2:.1e} times an O(0.01-0.1) dimensionless prefactor for this system, hence observed ~1e-5.", "value": 0.001 }, { "conservative_factor": "~4 orders looser than the realistic CG residual floor", "expected_residual": 1e-13, "key": "gauss_max", "source_template": "Tikhonov-shifted CG (shift = 1e-14) bounds the steady-state residual below by the shift. Per-vertex residual evaluation accumulates O(V * d_v) ~ O(60 * 3) ~ 180 FP operations on magnitudes ~|E| ~ O(1), giving roundoff ~ 180 * eps_mach ~ 4e-14. One pass of iterative refinement drives residual to ~1e-13.", "value": 1e-09 }, { "conservative_factor": "~3-5 orders looser than either bound", "expected_residual": 7e-13, "key": "time_reverse", "source_template": "Per-step roundoff ~ eps_mach * O(100 FLOPs) ~ 2e-14. Random-walk accumulation over N={N} steps gives ~sqrt(N) * 2e-14 ~ {rw:.1e}; pathological worst-case linear accumulation gives ~N * 2e-14 ~ {lin:.1e}.", "value": 1e-08 }, { "conservative_factor": "~2-3 SEM (strict; designed to fail loudly on calibration drift)", "expected_residual": 0.0035, "key": "migdal_witten", "source_template": "Per-sweep plaquette std on the buckyball (averaged over 32 faces) is sigma_

~ sigma_link / sqrt(n_faces) ~ 0.5/sqrt(32) ~ 0.09 at beta={beta}, dropping further once n_eff is accounted for. With N=1000 raw sweeps and tau_int ~ 5 -> n_eff ~ 200, SEM ~ 0.09/sqrt(200) ~ 6e-3. Empirical SEM from blocked analysis (current run) is in the 3-5e-3 range.", "value": 0.01 }, { "conservative_factor": "~2 orders looser than expected", "expected_residual": 1e-12, "key": "gauge_invariance", "source_template": "Gauge transform touches 90 edges (each ~16 FLOPs) and verification compares plaquette sums over 32 faces with 5-6 element products (each ~6*16 FLOPs): total ~ 90*16 + 32*6*16 ~ 4500 FLOPs; eps_mach * 4500 ~ 1e-12 conservatively.", "value": 1e-10 }, { "conservative_factor": "~2x looser; absorbs stat fluctuations and the documented 93-DOF ergodicity caveat", "expected_residual": 0.011, "key": "method_crosscheck", "source_template": "Budget split: stat = sqrt(sem_time^2 + sem_hb^2) where each is taken from the blocked analysis of the current run (typically ~3e-3 each -> ~4e-3 stat). Sys = microcanonical-vs-canonical bias at finite trajectory length on 93 transverse DOF, bounded by O(sigma_

/ sqrt(n_steps * dt / tau_relax)) ~ 0.09/sqrt({Tdt}/1) ~ {sys:.1e}. Total sqrt(stat^2 + sys^2) ~ 1.1e-2.", "value": 0.02 }, { "conservative_factor": "5x looser than the main-run gate; absorbs edge-of-envelope variance", "expected_residual": 5e-05, "key": "envelope_energy_drift_rel", "source_template": "Local-stability heuristic at each envelope beta. Short leapfrog (~{N_env} steps at dt=0.02) is sub-trajectory of the main run; expected drift scales linearly with the main-run envelope budget. Envelope tolerance is 5x the main-run gate (1e-3) to absorb edge-of-envelope variance without flagging a real stable point. NOT derived from a per-beta autocorrelation analysis -- this is a stability heuristic, not a publication-grade statistical bound.", "value": 0.005 }, { "conservative_factor": "Same as main-run; the projector floor is invariant under beta", "expected_residual": 1e-13, "key": "envelope_gauss_max", "source_template": "Identical to the main-run gauss_max tolerance: the Gauss projector floor is set by Tikhonov shift + FP roundoff and is beta-independent.", "value": 1e-09 }, { "conservative_factor": "1.5x looser; reflects smaller n_eff in envelope phase", "expected_residual": 0.015, "key": "envelope_crosscheck_gap", "source_template": "Local microcanonical-vs-canonical gap at each envelope beta. 1.5x looser than the main-run cross-check (2e-2) because the envelope's short heatbath chain ({env_sweeps} sweeps) has smaller n_eff than the main run.", "value": 0.03 }, { "conservative_factor": "Same as main-run; analytical target is sample-budget-invariant", "expected_residual": 0.005, "key": "envelope_migdal_gap", "source_template": "Identical to the main-run Migdal-Witten gate: the analytical target is independent of measurement budget.", "value": 0.01 }, { "conservative_factor": "n_eff-corrected; not directly comparable to a 90-sample raw classification rate", "expected_residual": 0.85, "key": "sector_classifier_real_accuracy_min", "source_template": "Stated as a function of n_eff per CHAIN, not raw N=90 samples per band. The within-chain LOOCV folds are autocorrelated; effective independent samples per band is roughly n_eff = n_samples / (2 * tau_int + 1). At tau_int ~ 5 the effective N per band is ~6, so 80% accuracy means the classifier reads at least 5/6 effective samples correctly. Below 80% the gauge-invariant features do not carry band information; the gate fails loudly.", "value": 0.8 }, { "conservative_factor": "5% type-I-error rate on the standard permutation contract", "expected_residual": 0.5, "key": "sector_classifier_null_alpha", "source_template": "Permutation-test p-value threshold for label-shuffled LOO. 200 random shuffles of the real feature matrix's labels; null p-value = (number of shuffles whose accuracy meets or exceeds the real classifier) / 200. p >= 0.05 means the real classifier is statistically indistinguishable from a label-blind baseline -- gate FAILS. NOT a symmetric +-band around 1/3 (the prior design's '+-0.10 around 1/3' criterion misfired by construction because the Haar scramble null does not have a 1/3 baseline).", "value": 0.05 } ], "tool_version": "validation_report.py/1.0", "trajectory_path": "reports\\run_20260617_110642\\trajectory.json", "wall_time_seconds": 2764.6645114421844 }, "schema_version": "1.2", "section_1_run_parameters": { "params": { "E": 90, "F": 32, "T_total": 20.0, "V": 60, "beta": 2.5, "dt": 0.02, "frame_t_first": 0.4, "frame_t_last": 20.0, "gauge_group": "SU(2)", "measure_every": 20, "n_frames": 50, "n_steps": 1000, "n_thermalization_sweeps": 200, "schema_version": "0.1", "seed": 20260617 }, "substrate": { "checks": { "2E_check": { "expected": 180, "measured": 180, "pass": true }, "E": { "expected": 90, "measured": 90, "pass": true }, "F": { "expected": 32, "measured": 32, "pass": true }, "V": { "expected": 60, "measured": 60, "pass": true }, "census_HH": { "expected": 30, "measured": 30, "pass": true }, "census_PH": { "expected": 60, "measured": 60, "pass": true }, "census_PP": { "expected": 0, "measured": 0, "pass": true }, "chi": { "expected": 2, "measured": 2, "pass": true }, "hexagons": { "expected": 20, "measured": 20, "pass": true }, "pentagons": { "expected": 12, "measured": 12, "pass": true }, "perimeter_sum": { "expected": 180, "measured": 180, "pass": true }, "two_faces_per_edge": { "expected": true, "measured": true, "pass": true } }, "verdict": "PASS" } }, "section_2_conservation": { "energy": { "H_0": 24.185647891125388, "available": true, "constant_H_suspect": false, "energy_std_over_H0": 1.5574700902283384e-05, "margin_factor": 20.617453823111877, "max_relative_drift": 4.850259438335756e-05, "monotone_drift_detected": false, "n_samples": 50, "tolerance": 0.001, "verdict": "PASS" }, "gauss": { "available": true, "final_state_verdict": "PASS", "gauss_covariant_max_final_state": 4.9682480351975755e-15, "gauss_flat_max_final_state": 0.8425207569207208, "gauss_history": [ [ 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1.4210854715202004e-14, "delta_rel": 3.0433145457015856e-16, "name": "Wilson action S_W", "post": 46.69532019052576, "pre": 46.69532019052578, "tolerance": 1e-10, "type": "invariant", "verdict": "PASS" }, { "delta_abs": 1.1102230246251565e-16, "delta_rel": 2.666827679416584e-16, "name": "Mean plaquette

", "post": 0.4163084976184279, "pre": 0.4163084976184278, "tolerance": 1e-10, "type": "invariant", "verdict": "PASS" }, { "delta_rel": 9.314807840456469e-16, "name": "Per-face q_0(U_f) (max across 32 faces)", "tolerance": 1e-10, "type": "invariant", "verdict": "PASS" }, { "delta_abs": 2.6645352591003757e-15, "delta_rel": 4.7996791820225e-16, "name": "Q_surrogate", "post": 5.551486168243408, "pre": 5.551486168243411, "tolerance": 1e-10, "type": "invariant", "verdict": "PASS" }, { "delta_abs": 0.0, "delta_rel": 0.0, "name": "edge_kinetic total 2|q_vec(E)|^2", "post": 15.639955236267218, "pre": 15.639955236267218, "tolerance": 1e-10, "type": "invariant", "verdict": "PASS" }, { "G_post_max": 4.468647674116255e-15, "G_pre_max": 4.9682480351975755e-15, "delta_abs": 2.680673914700511e-16, "name": "G_v covariance under Ad(g_v): max |G'_v - g_v G_v g_v^-1|", "tolerance": 1e-10, "type": "invariant", "verdict": "PASS" }, { "delta_abs": 0.035561591076002985, "name": "edge_phase mean (visualization only)", "post": 1.5102229572349846, "pre": 1.5457845483109875, "type": "variant", "verdict": "DECLARED_VARIANT" } ], "verdict": "PASS" }, "section_5_method_crosscheck": { "P_heatbath": 0.5068472390054948, "P_heatbath_blocking_curve": [ [ 2, 0.0014580250848290606 ], [ 4, 0.0014294513880835642 ], [ 8, 0.0013438326185834996 ], [ 16, 0.0013684652311043016 ], [ 32, 0.0013589149936454306 ], [ 64, 0.0013709088767474658 ], [ 128, 0.0012116728462342123 ] ], "P_heatbath_blocking_regime": "no_plateau", "P_heatbath_n_eff": 2048.0, "P_heatbath_plateau_block_size": 2, "P_heatbath_plateau_detected": false, "P_heatbath_sem": 0.0014580250848290606, "P_heatbath_sem_blocked": 0.0014580250848290606, "P_heatbath_sem_naive": 0.0014627450145986705, "P_time": 0.447868407490588, "P_time_blocking_curve": [ [ 2, 0.00994484952120268 ] ], "P_time_blocking_regime": "single_level", "P_time_n_eff": 32.762327632019236, "P_time_plateau_block_size": 2, "P_time_plateau_detected": false, "P_time_sem": 0.00994484952120268, "P_time_sem_blocked": 0.00994484952120268, "P_time_sem_naive": 0.008050087268074041, "available": true, "gap": 0.05897883151490679, "margin_factor": 0.33910471751114696, "n_heatbath_samples": 2048, "n_time_samples": 50, "sem_convention": "flyvbjerg_petersen_blocked", "tolerance": 0.02, "verdict": "FAIL" }, "section_6_parameter_scan": { "all_within_tolerance": true, "available": true, "entries": [ { "P_exact": 0.12371792827832072, "P_measured": 0.12619116958172225, "P_n_eff": 238.90928141751402, "P_plateau_block_size": 2, "P_plateau_detected": true, "P_sem": 0.005641134239186229, "P_sem_blocked": 0.005641134239186229, "P_sem_naive": 0.0050341055620532395, "beta": 0.5, "gap": 0.002473241303401527, "pass": true, "tolerance": 0.01 }, { "P_exact": 0.24019372387008978, "P_measured": 0.24268597415792073, "P_n_eff": 300.0, "P_plateau_block_size": 2, "P_plateau_detected": false, "P_sem": 0.004914135234780639, "P_sem_blocked": 0.004914135234780639, "P_sem_naive": 0.005017942766487588, "beta": 1.0, "gap": 0.002492250287830955, "pass": true, "tolerance": 0.01 }, { "P_exact": 0.34414400706876425, "P_measured": 0.34745164440889226, "P_n_eff": 248.52474629966645, "P_plateau_block_size": 2, "P_plateau_detected": true, "P_sem": 0.0048865970575009965, "P_sem_blocked": 0.0048865970575009965, "P_sem_naive": 0.004447651203010979, "beta": 1.5, "gap": 0.0033076373401280112, "pass": true, "tolerance": 0.01 }, { "P_exact": 0.5071951004360452, "P_measured": 0.5015981304535762, "P_n_eff": 300.0, "P_plateau_block_size": 16, "P_plateau_detected": false, "P_sem": 0.0036427817597393217, "P_sem_blocked": 0.0036427817597393217, "P_sem_naive": 0.0036427817597393217, "beta": 2.5, "gap": 0.005596969982469058, "pass": true, "tolerance": 0.01 }, { "P_exact": 0.6580479496195003, "P_measured": 0.6609047064623552, "P_n_eff": 300.0, "P_plateau_block_size": 2, "P_plateau_detected": false, "P_sem": 0.002726962066173574, "P_sem_blocked": 0.002726962066173574, "P_sem_naive": 0.0027351479011845565, "beta": 4.0, "gap": 0.002856756842854913, "pass": true, "tolerance": 0.01 }, { "P_exact": 0.7627593455192619, "P_measured": 0.7629243853384273, "P_n_eff": 195.0650737308396, "P_plateau_block_size": 16, "P_plateau_detected": false, "P_sem": 0.002357656493233392, "P_sem_blocked": 0.002357656493233392, "P_sem_naive": 0.001901120566509762, "beta": 6.0, "gap": 0.00016503981916538013, "pass": true, "tolerance": 0.01 } ], "monotone_increase": true, "sem_convention": "flyvbjerg_petersen_blocked", "verdict": "PASS" }, "section_7_open_items": [ { "category": "framework", "description": "Davis Duality / Branch XIII derivation of the specific functional form of the variable-beta coupling delta-m^2(x) = F[Omega, tau, K]. The current code uses an interim holonomy-density form which is gauge-invariant at FP64 (Section 4 verifies) and dimensionally correct, but is not derived from the framework.", "operational_today": true }, { "category": "fermion", "description": "SU(2) fermion sector. Matter-sector v1 validated the SU(3) fermion sector with staggered Dirac, Banks-Casher, and chRMT cross-checks. SU(2) fermions are open.", "operational_today": false }, { "category": "hardware", "description": "Multi-mode transmon plaquette network encoding from physical Josephson bias currents to SU(2) link variables. This simulation tests the gauge field dynamics, not the encoding.", "operational_today": false }, { "category": "ergodicity", "description": "Microcanonical-canonical agreement on small substrates. The buckyball has 93 transverse degrees of freedom. The Section 5 cross-check gap is consistent with a finite-size and short-trajectory ergodicity limitation rather than a structural failure of the integrator, but this interpretation is not yet demonstrated: closing it requires a trajectory-length sweep at fixed seed and multiple independent seeds (Flyvbjerg-Petersen blocked SEMs are now applied per Section 3.2 / Section 5 / Section 6). Deferred to the longer convergence study planned for the apparatus characterisation phase.", "operational_today": true }, { "category": "drift", "description": "Long-term apparatus drift over hours-to-days operating timescales. Junction-level decoherence, thermal drift, and 1/f noise in bias currents are open items for the hardware phase.", "operational_today": false }, { "category": "claim", "description": "Connection to inertia damping. The simulation produces validated gauge field dynamics. The claim that this dynamics modifies effective inertial mass is a prediction the apparatus, when built, will test. The simulation does not and cannot test the inertia claim.", "operational_today": false }, { "category": "section_5_2_equipartition", "description": "Canonical equipartition K/V band on the heatbath ensemble (Section 5.2 in the discipline template). Not yet emitted by this report. Adding it requires sampling K and V on the canonical heatbath history and verifying both are within band of the analytical equipartition expectation. No TOL entry exists yet; gating values will be added once the band is measured on a reference run.", "operational_today": true }, { "category": "hardware_gate_1_gauge", "description": "GATE 1 (Gauge). Apparatus must demonstrate accepted Q in {0, 1, 2} sectors via gauge-invariant observables: Wilson loops {W_gamma_i}, mean plaquette

, sector surrogate Q_surrogate, and Wilson action S_W must agree on the sector label and reach a pre-registered separability threshold across seeds and small control perturbations before any mechanical channel is unblinded.", "operational_today": false }, { "category": "hardware_gate_2_stability", "description": "GATE 2 (Stability). Sector must remain stable through the full mechanical measurement window. Per-snapshot logging of Q_surrogate(t), , max|G_v(t)|. Runs whose sector leaves the pre-registered band during measurement are INVALID. No post-hoc rescue.", "operational_today": false }, { "category": "hardware_gate_3_null_drive", "description": "GATE 3 (Null-drive). Power-matched and scrambled-phase drives must produce NO Q-linear inertial signal. Sham drives are part of the same data-taking block as the real Q-sector drive, not a follow-up campaign. The inertial claim only survives if the signal follows Q -- not RF power, heat, vibration, magnetic field, or drive amplitude.", "operational_today": false }, { "category": "hardware_gate_4_blind_analysis", "description": "GATE 4 (Blind analysis). The mechanical-channel analyst must be blind to sector labels until the analysis pipeline is committed. Unblinding is a one-way step.", "operational_today": false }, { "category": "hardware_gate_5_linearity", "description": "GATE 5 (Linearity). Q = 2 deviation must be approximately twice the Q = 1 deviation, within the systematics band. The linear-in-Q coupling ansatz is itself a gate; a non-linear residual at the framework's predicted magnitude falsifies the simple linear model.", "operational_today": false }, { "category": "hardware_gate_6_reversal", "description": "GATE 6 (Reversal). Reversing the programmed winding (Q -> -Q) must reverse or transform the predicted signature according to the framework's parity prediction. A signal that survives winding reversal in the wrong way falsifies the framework before linearity even matters.", "operational_today": false }, { "category": "hardware_gate_7_independent_sensor", "description": "GATE 7 (Independent sensor). The effect must appear in at least two measurement modalities, each with its own systematics model, before it is treated as a candidate physics result. A single-channel result is automatically suspect.", "operational_today": false }, { "category": "sensitivity_floor_and_systematics_budget", "description": "Pre-registered sensitivity floor alpha_min and four-channel systematics budget (thermal / magnetic / vibration / cage drift) are published BEFORE first data. Values to be set by Branch XIII derivation + cage characterisation runs. Backfilling these numbers after data is taken is grounds for retraction. The slot itself is the pre-registration.", "operational_today": false }, { "category": "operational_beta_envelope", "description": "Operating beta for the buckyball substrate will be selected from beta in {2.4, 2.5, 2.6, 2.7, 2.8} based on local-envelope stability (sector separation, energy conservation, Gauss covariance, canonical agreement) at each candidate value. Not the lower edge by default. The validation report's beta-envelope sweep (--beta-envelope orchestrator flag, pending implementation) is the gating measurement.", "operational_today": true } ], "section_8_beta_envelope": { "available": true, "entries": [ { "P_exact": 0.34414400706876425, "P_meas": 0.33544571333459033, "P_meas_sem": 0.0034749717529065386, "beta": 1.5, "cleared_count": 4, "crosscheck_gap": 0.025224054463777457, "energy_drift_max": 4.69026099641378e-05, "gauss_max_across_window": 2.0261570199409107e-15, "indeterminate": false, "m_drift": 0.9906194780071724, "m_gauss": 0.9999979738429801, "m_migdal": 0.1301706265826088, "m_xcheck": 0.1591981845407514, "migdal_gap": 0.008698293734173912, "regime": "plateau_detected", "sector_proxy_q_std": 0.4247371121824825, "stability_score": 2.2799862629735124 }, { "P_exact": 0.43312742672584814, "P_meas": 0.43076380483215804, "P_meas_sem": 0.003185260140626633, "beta": 2.0, "cleared_count": 4, "crosscheck_gap": 0.02287661673253899, "energy_drift_max": 4.219921488082352e-05, "gauss_max_across_window": 9.054720861989551e-11, "indeterminate": false, "m_drift": 0.9915601570238353, "m_gauss": 0.9094527913801045, "m_migdal": 0.7636378106309896, "m_xcheck": 0.237446108915367, "migdal_gap": 0.0023636218936901043, "regime": "plateau_detected", "sector_proxy_q_std": 0.2706940144365345, "stability_score": 2.9020968679502963 }, { "P_exact": 0.5071951004360452, "P_meas": 0.5061850578796284, "P_meas_sem": 0.0028779792943043584, "beta": 2.5, "cleared_count": 3, "crosscheck_gap": 0.046077138687858565, "energy_drift_max": 3.773754553797244e-05, "gauss_max_across_window": 2.4702462297909733e-15, "indeterminate": false, "m_drift": 0.9924524908924055, "m_gauss": 0.9999975297537702, "m_migdal": 0.898995744358321, "m_xcheck": 0.0, "migdal_gap": 0.0010100425564167903, "regime": "plateau_detected", "sector_proxy_q_std": 0.21599558676098254, "stability_score": 2.8914457650044967 }, { "P_exact": 0.5679236598904817, "P_meas": 0.5657622960285007, "P_meas_sem": 0.0026642351893944893, "beta": 3.0, "cleared_count": 3, "crosscheck_gap": 0.04220983188925587, "energy_drift_max": 3.119038524263764e-05, "gauss_max_across_window": 2.886579864025407e-15, "indeterminate": false, "m_drift": 0.9937619229514725, "m_gauss": 0.999997113420136, "m_migdal": 0.7838636138019042, "m_xcheck": 0.0, "migdal_gap": 0.0021613638619809583, "regime": "plateau_detected", "sector_proxy_q_std": 0.38605796818678134, "stability_score": 2.7776226501735124 }, { "P_exact": 0.6174854493496785, "P_meas": 0.6200630322737873, "P_meas_sem": 0.0022840346881077144, "beta": 3.5, "cleared_count": 3, "crosscheck_gap": 0.061319683822996685, "energy_drift_max": 2.2146879606661557e-05, "gauss_max_across_window": 2.8449465006019636e-15, "indeterminate": false, "m_drift": 0.9955706240786677, "m_gauss": 0.9999971550534994, "m_migdal": 0.7422417075891188, "m_xcheck": 0.0, "migdal_gap": 0.002577582924108812, "regime": "no_plateau", "sector_proxy_q_std": 0.25196985713314807, "stability_score": 2.737809486721286 } ], "n_envelope_betas": 5, "operational_beta_recommendation": 2.0, "recommendation_rationale": "argmax stability_score among entries clearing all 4 sub-tolerances in a usable SEM regime; tie-break by smallest energy_drift_max", "regime_per_beta": { "1.5": "plateau_detected", "2.0": "plateau_detected", "2.5": "plateau_detected", "3.0": "plateau_detected", "3.5": "no_plateau" }, "sector_proxy_weight": 0.0, "verdict": "PASS" }, "section_9_sector_classifier": { "available": true, "null_alpha_threshold": 0.05, "real_accuracy_threshold": 0.8, "reason": "natural Q_surrogate dispersion at beta = 2.5 does not populate all 3 bands; classifier is meaningless here", "verdict": "NOT_APPLICABLE" } }