matrix: [129, 129, 129], spacing=0.125 a0 represented probability: 1.000038674597 90% envelope: 2.660474582 a0 basis: [129, 129, 129] 4D density matrix: [24, 49, 49, 49] 1s norm: 1.000658729139 2p_z norm: 0.999924863898 overlap: -1.084e-18 beat period: 405.287959 as { "release": "0.2.0", "status": "synthetic geometric hypothesis; not hydrogen physics", "generator": "two tangent 3-spheres in R4 rotating through the x-w plane; local perspective envelopes emit interfering complex waves", "matrix_shape": [ 24, 35, 35, 35 ], "four_dimensional_checks": { "center_distance": 3.4, "expected_center_distance": 3.4, "contact_distance_from_first_center": 1.7, "contact_distance_from_second_center": 1.7, "expected_radius": 1.7, "projected_contact_point": [ 0.0, 0.0, 0.0 ] }, "matrix_checks": { "minimum_intensity": 0.0, "periodicity_max_error": 3.1086244689504383e-15 }, "boundary": "the local projected envelopes are a visualization approximation; no equivalence to the hydrogen Hamiltonian has been shown" } NIST centroid: 121.567004000 nm ideal-minus-centroid: -0.064730589 nm rotor holdout H^2: 0.172620216 time-mean holdout H^2: 0.022196552 accepted: False gap: 10.198836391 eV T=300.0 K: ratio=4.646110e-172; max change=6.328e-188 T=10000.0 K: ratio=7.244571e-06; max change=9.551e-22 T=-10000.0 K: ratio=1.380344e+05; max change=1.471e-16 coherent phase slope: 1.549476e+16 rad/s K=1: train H^2=0.204041584; holdout H^2=0.172620216 K=2: train H^2=0.203640581; holdout H^2=0.171868367 K=3: train H^2=0.203586339; holdout H^2=0.172032715 K=4: train H^2=0.203586339; holdout H^2=0.172032715 accepted: False { "release": "0.5.0", "protocol_sha256": "6c63d613ac93fe913985294fddb3b655b6e7b90a55f343253406718f9e96d204", "classification": { "nist_levels": "measured/critically compiled spectroscopy", "H0_H1_H2": "written mathematical models plus finite deterministic computation", "four_dimensional_origin": "unimplemented hypothesis; no evidence produced by this run" }, "electromagnetic_content_correction": "H0 was not missing electromagnetism: its -e^2/(4*pi*epsilon_0*r) Coulomb potential is the nonrelativistic electromagnetic interaction. H1 and H2 add omitted standard structure.", "observed": { "wavelengths_nm_from_nist_levels": { "j_1_2_nm": 121.56736448047978, "j_3_2_nm": 121.56682373302904 }, "intensity_weighted_centroid_nm": 121.56700398217929, "fine_structure_split_nm": 0.0005407474507421739 }, "constants": { "reduced_mass_over_electron_mass": 0.9994556794247617, "proton_to_electron_mass_ratio": 1836.152673426, "alpha": 0.0072973525643 }, "H0_fixed_proton_schrodinger": { "wavelengths_nm": { "j_1_2_nm": 121.50227341101758, "j_3_2_nm": 121.50227341101758 }, "intensity_weighted_centroid_nm": 121.50227341101757, "centroid_minus_observed_nm": -0.06473057116171788, "centroid_relative_error_ppm": -532.4682606409124, "line_residuals_nm": { "j_1_2_nm": -0.06509106946219845, "j_3_2_nm": -0.06455032201145627 } }, "H1_reduced_mass_schrodinger": { "wavelengths_nm": { "j_1_2_nm": 121.5684456172668, "j_3_2_nm": 121.5684456172668 }, "intensity_weighted_centroid_nm": 121.56844561726679, "centroid_minus_observed_nm": 0.0014416350875023909, "centroid_relative_error_ppm": 11.858769569691152, "line_residuals_nm": { "j_1_2_nm": 0.0010811367870218191, "j_3_2_nm": 0.001621884237763993 }, "fraction_of_H0_centroid_absolute_error_removed": 0.977728682728587 }, "H2_reduced_mass_dirac": { "wavelengths_nm": { "j_1_2_nm": 121.5669620458263, "j_3_2_nm": 121.56642256973335 }, "intensity_weighted_centroid_nm": 121.56660239509766, "centroid_minus_observed_nm": -0.0004015870816260758, "centroid_relative_error_ppm": -3.3034217219414663, "line_residuals_nm": { "j_1_2_nm": -0.0004024346534805545, "j_3_2_nm": -0.00040116329569173104 }, "transition_gaps_eV": { "j_1_2_nm": 10.198839910671023, "j_3_2_nm": 10.19888517012829 }, "predicted_fine_structure_split_nm": 0.0005394760929533504, "fine_structure_split_relative_error": -0.0023511119415885284, "fraction_of_H0_centroid_absolute_error_removed": 0.9937960213478917, "omitted_standard_terms": [ "complete relativistic recoil", "radiative self-energy and vacuum polarization (Lamb/QED)", "finite proton charge radius", "hyperfine structure", "radiative linewidth and external-field effects" ] }, "decisions": { "reduced_mass_removes_95_percent_H0_error": true, "dirac_centroid_within_5_ppm": true, "dirac_split_within_1_percent": true, "dirac_lines_distinct": true }, "all_checks_passed": true, "higher_dimensional_admission_rule": { "form": "H_candidate = H_standard + lambda * O_4", "required_before_fit": [ "define the extra coordinate and its units", "derive O_4 from a stated field equation or action", "state the coupling to charge/current and the gauge or conservation law", "freeze the parameter budget and training data", "name a fresh observable whose state-dependent pattern cannot be absorbed by known constants or omitted standard corrections" ], "status_in_release_0_5": "No O_4 is specified, so no higher-dimensional fit is performed. An unconstrained residual is not counted as evidence for a fourth spatial dimension." }, "interpretation": "The old mismatch does not isolate a new force or higher-dimensional cause. Standard reduced-mass and relativistic electromagnetic corrections explain most of it. The remaining residual is a budget for omitted standard terms until an explicit higher-dimensional operator makes a distinct, falsifiable prediction." } release: 0.6.0 <1s|z|2p_z> exact: 0.744935539028 a0 <1s|z|2p_z> grid: 0.744932784051 a0 continuity analytic residual: 0.000e+00 ideal 2p lifetime: 1.595325052 ns dipole-visible harmonics: 2 test_simplex_is_normalized_and_nonnegative (test_extensions.LatentComponentTests.test_simplex_is_normalized_and_nonnegative) ... ok test_simplex_weights (test_extensions.LatentComponentTests.test_simplex_weights) ... ok test_coherence_reverses_with_time_not_temperature (test_extensions.TemperaturePhaseTests.test_coherence_reverses_with_time_not_temperature) ... ok test_negative_temperature_inverts_bounded_populations (test_extensions.TemperaturePhaseTests.test_negative_temperature_inverts_bounded_populations) ... ok test_positive_temperature_favors_ground (test_extensions.TemperaturePhaseTests.test_positive_temperature_favors_ground) ... ok test_thermal_density_is_stationary (test_extensions.TemperaturePhaseTests.test_thermal_density_is_stationary) ... ok test_contact_projects_to_origin (test_four_d_touching_rotors.TouchingRotorTests.test_contact_projects_to_origin) ... ok test_hyperspheres_remain_tangent_at_origin (test_four_d_touching_rotors.TouchingRotorTests.test_hyperspheres_remain_tangent_at_origin) ... ok test_invalid_projection_is_rejected (test_four_d_touching_rotors.TouchingRotorTests.test_invalid_projection_is_rejected) ... ok test_one_cycle_is_periodic (test_four_d_touching_rotors.TouchingRotorTests.test_one_cycle_is_periodic) ... ok test_projected_envelopes_are_finite_and_positive (test_four_d_touching_rotors.TouchingRotorTests.test_projected_envelopes_are_finite_and_positive) ... ok test_wave_intensity_is_nonnegative (test_four_d_touching_rotors.TouchingRotorTests.test_wave_intensity_is_nonnegative) ... ok test_2pz_nodal_plane_and_odd_parity (test_hydrogen_4d_wave.Hydrogen4DWaveTests.test_2pz_nodal_plane_and_odd_parity) ... ok test_basis_normalization_and_orthogonality (test_hydrogen_4d_wave.Hydrogen4DWaveTests.test_basis_normalization_and_orthogonality) ... ok test_phase_mirror_and_periodicity (test_hydrogen_4d_wave.Hydrogen4DWaveTests.test_phase_mirror_and_periodicity) ... ok test_phase_to_time_conversion (test_hydrogen_4d_wave.Hydrogen4DWaveTests.test_phase_to_time_conversion) ... ok test_superposition_is_nonnegative_and_normalized (test_hydrogen_4d_wave.Hydrogen4DWaveTests.test_superposition_is_nonnegative_and_normalized) ... ok test_time_matrix_shape_and_no_duplicate_endpoint (test_hydrogen_4d_wave.Hydrogen4DWaveTests.test_time_matrix_shape_and_no_duplicate_endpoint) ... ok test_wavefunction_values_at_origin (test_hydrogen_4d_wave.Hydrogen4DWaveTests.test_wavefunction_values_at_origin) ... ok test_density_peak (test_hydrogen_matrix.HydrogenMatrixTests.test_density_peak) ... ok test_grid_requires_odd_size (test_hydrogen_matrix.HydrogenMatrixTests.test_grid_requires_odd_size) ... ok test_matrix_normalization_moments_and_isotropy (test_hydrogen_matrix.HydrogenMatrixTests.test_matrix_normalization_moments_and_isotropy) ... ok test_radial_cdf_and_inverse (test_hydrogen_matrix.HydrogenMatrixTests.test_radial_cdf_and_inverse) ... ok test_release_outputs (test_hydrogen_matrix.HydrogenMatrixTests.test_release_outputs) ... ok test_continuity_identity (test_quantum_harmonic_current.QuantumHarmonicCurrentTests.test_continuity_identity) ... ok test_current_is_zero_at_density_extrema_and_reverses (test_quantum_harmonic_current.QuantumHarmonicCurrentTests.test_current_is_zero_at_density_extrema_and_reverses) ... ok test_dipole_catalog_filters_a_density_harmonic (test_quantum_harmonic_current.QuantumHarmonicCurrentTests.test_dipole_catalog_filters_a_density_harmonic) ... ok test_exact_dipole_integrals (test_quantum_harmonic_current.QuantumHarmonicCurrentTests.test_exact_dipole_integrals) ... ok test_ideal_spontaneous_rate (test_quantum_harmonic_current.QuantumHarmonicCurrentTests.test_ideal_spontaneous_rate) ... ok test_integrated_current_matches_dipole_velocity (test_quantum_harmonic_current.QuantumHarmonicCurrentTests.test_integrated_current_matches_dipole_velocity) ... ok test_release_outputs (test_quantum_harmonic_current.QuantumHarmonicCurrentTests.test_release_outputs) ... ok test_ideal_model_is_not_silently_relabeled_as_measured (test_real_data_rotor.RealDataCalibrationTests.test_ideal_model_is_not_silently_relabeled_as_measured) ... ok test_nist_centroid_and_doublet (test_real_data_rotor.RealDataCalibrationTests.test_nist_centroid_and_doublet) ... ok test_release_result_preserves_negative_decision (test_real_data_rotor.RealDataCalibrationTests.test_release_result_preserves_negative_decision) ... ok test_rotor_probability_is_normalized_and_periodic (test_real_data_rotor.RealDataCalibrationTests.test_rotor_probability_is_normalized_and_periodic) ... ok test_train_holdout_split_is_complete (test_real_data_rotor.RealDataCalibrationTests.test_train_holdout_split_is_complete) ... ok test_all_frozen_checks_pass (test_spectroscopy_ladder.SpectroscopyLadderTests.test_all_frozen_checks_pass) ... ok test_dirac_centroid_is_close_but_not_exact (test_spectroscopy_ladder.SpectroscopyLadderTests.test_dirac_centroid_is_close_but_not_exact) ... ok test_dirac_predicts_two_distinct_lines (test_spectroscopy_ladder.SpectroscopyLadderTests.test_dirac_predicts_two_distinct_lines) ... ok test_fixed_proton_reproduces_preserved_baseline (test_spectroscopy_ladder.SpectroscopyLadderTests.test_fixed_proton_reproduces_preserved_baseline) ... ok test_higher_dimensional_term_not_silently_fit (test_spectroscopy_ladder.SpectroscopyLadderTests.test_higher_dimensional_term_not_silently_fit) ... ok test_reduced_mass_removes_most_baseline_error (test_spectroscopy_ladder.SpectroscopyLadderTests.test_reduced_mass_removes_most_baseline_error) ... ok ---------------------------------------------------------------------- Ran 42 tests in 0.462s OK { "source": "outputs/hydrogen_1s_density.npz", "continuous": { "normalization": 0.9999999999999999, "mean_radius_a0": 1.5, "mean_square_radius_a0_sq": 3.0000000000000004, "radius_90pct_a0": 2.66116016891712 }, "matrix": { "normalization": 1.0000386745967884, "mean_radius_a0": 1.4998968222619726, "rms_radius_a0": 1.7319522444093385, "second_moments_a0_sq": [ 0.9998861923048483, 0.9998861923048483, 0.9998861923048484 ] }, "checks": { "continuous_normalization": true, "continuous_mean_radius": true, "continuous_mean_square_radius": true, "matrix_normalization": true, "matrix_mean_radius": true, "matrix_rms_radius": true, "matrix_isotropy": true }, "all_passed": true } { "continuous": { "norm_1s": 0.9999999999999999, "norm_2pz": 1.0 }, "basis_matrix": { "norm_1s": 1.000658729138791, "norm_2pz": 0.9999248638977771, "overlap": -1.0842021724855044e-18, "nodal_plane_max_abs_amplitude": 0.0 }, "time_matrix": { "shape": [ 24, 49, 49, 49 ], "min_frame_norm": 0.9982208178223115, "max_frame_norm": 0.9982208197474904 }, "checks": { "exact_1s_normalization": true, "exact_2pz_normalization": true, "basis_1s_normalization": true, "basis_2pz_normalization": true, "basis_orthogonality": true, "basis_nodal_plane": true, "frame_normalization": true, "time_phase_consistency": true }, "all_passed": true } { "release": "0.3.0", "status": "PASS", "checks": { "protocol_hash": true, "centroid": true, "frequency_split": true, "ideal_wavelength": true, "saved_reference_matrix": true, "saved_rotor_matrix": true, "split_complete_and_disjoint": true, "rotor_holdout_metrics": true, "time_mean_holdout_metrics": true, "holdout_centroid_correlation": true, "decision_checks": true, "final_decision": true }, "recomputed": { "centroid_nm": 121.567004, "doublet_frequency_separation_hz": 10954243543.711607, "ideal_wavelength_nm": 121.50227341101758, "rotor_holdout": { "mean_total_variation": 0.4329297257750954, "mean_squared_hellinger": 0.17262021644884643, "mean_relative_l2": 0.8211718695769377 }, "time_mean_holdout": { "mean_total_variation": 0.13114446706020755, "mean_squared_hellinger": 0.02219655156349301, "mean_relative_l2": 0.18874634896013484 }, "holdout_z_centroid_correlation": -0.08607433940434553, "predeclared_checks": { "rotor_heldout_hellinger_below_time_mean": false, "heldout_z_centroid_correlation_min": false, "opposite_phase_dynamic_nodal_leakage_max": false, "opposite_phase_mirror_tv_max": false, "full_cycle_probability_max_abs_error": true }, "accepted": false }, "boundary": "Independent implementation replay; same source data, protocol, parameters, floating-point platform, and synthetic reference." } { "release": "0.4.0", "checks": { "spectroscopic_gap": true, "period": true, "ratio_300.0": true, "ratio_10000.0": true, "ratio_-10000.0": true, "negative_temperature_population_inversion": true, "time_reversal_changes_phase_direction": true, "latent_hellinger": true, "latent_total_variation": true, "weights_simplex": true, "frozen_decision_vector": true }, "passed": 11, "total": 11, "status": "PASS", "boundary": "This audit verifies finite calculations and saved-array consistency, not the truth of a physical ontology." } { "release": "0.5.0", "method": "independent Decimal scalar recomputation; no import from production implementation", "absolute_differences_nm": { "H0_centroid_nm": 1.4210854715202004e-14, "H1_centroid_nm": 2.842170943040401e-14, "H2_j_1_2_nm": 1.4210854715202004e-14, "H2_j_3_2_nm": 1.4210854715202004e-14, "H2_centroid_nm": 1.4210854715202004e-14, "observed_centroid_nm": 0.0 }, "tolerance_nm": 2e-08, "decisions": { "H0_centroid_nm": true, "H1_centroid_nm": true, "H2_j_1_2_nm": true, "H2_j_3_2_nm": true, "H2_centroid_nm": true, "observed_centroid_nm": true }, "all_checks_passed": true } { "audit": "independent release-0.6 quantum-current finite-difference and quadrature audit", "imports_production_module": false, "grid_shape": [ 129, 129, 129 ], "grid_extent_each_axis_a0": [ -14.0, 14.0 ], "fourth_order_continuity_relative_l2_full_interior": 0.11603070706559089, "fourth_order_continuity_relative_l2_outside_r_0_5_a0": 0.012804119194968159, "finite_difference_cusp_exclusion_radius_a0": 0.5, "z_matrix_quadrature_a0": 0.7449355390278035, "z_matrix_grid_a0": 0.7449346627581804, "integrated_jz_grid_a0_per_atomic_time": -0.27937366263433844, "integrated_jz_expected_a0_per_atomic_time": -0.2793508271354263, "forbidden_1s_2s_z_grid_a0": -5.8106460181645e-19, "spontaneous_rate_independent_s_minus_1": 626831502.9564023, "checks": { "fourth_order_continuity_relative_l2_outside_cusp_below_0_02": true, "quadrature_matches_exact_z_matrix_below_1e_12": true, "grid_z_matrix_relative_error_below_0_001": true, "integrated_current_relative_error_below_0_001": true, "forbidden_1s_2s_grid_dipole_below_1e_13": true, "reported_rate_relative_error_below_1e_12": true, "reported_matrix_relative_error_below_1e_12": true }, "all_checks_passed": true, "classification": "independent finite computation; no new measurement" }