TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/EINSTEIN-NOETHER-HYPOTHESES.json
Original file SHA-256: 0aa6ff497271530a05a8b1577740c502c6842c7ed4c96fc943229540f1c0fe56
Inclusive original lines: 1-99
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
Conversation metadata and personal execution details are omitted where indicated.

000001 | {
000002 |   "date": "2026-11-02",
000003 |   "result_id": "R081",
000004 |   "checks": {
000005 |     "actual_nondoubled_quark_sector_36": true,
000006 |     "original_force_tuple_hermitian_and_odd": true,
000007 |     "noether_tangent_first_ward": true,
000008 |     "noether_orbit_second_ward": true,
000009 |     "gibbs_BKM_hessian_is_symmetric": true,
000010 |     "gibbs_BKM_hessian_is_positive": true,
000011 |     "instantaneous_variance_is_not_BKM_hessian": true,
000012 |     "naive_variance_breaks_second_orbit_ward": true,
000013 |     "whole_partition_is_constant_on_actual_higgs_rotation": true,
000014 |     "BKM_hessian_matches_independent_partition_difference": true,
000015 |     "spectral_orbit_invariance_does_not_force_radial_stationarity": true,
000016 |     "unitary_orbit_partition_derivative_is_identity": true,
000017 |     "odd_force_as_unitary_generator_changes_principal_symbol": true,
000018 |     "native_entropy_first_law": true,
000019 |     "first_law_allows_distinct_positive_relative_entropy_state": true,
000020 |     "native_chiral_keep_space_18": true,
000021 |     "bare_higgs_vertex_compresses_to_zero": true,
000022 |     "native_marginal_differs_from_bare_compressed_gibbs": true,
000023 |     "integrating_original_partner_retains_higgs_response": true,
000024 |     "retained_vertex_reconstructs_full_marginal_derivative": true,
000025 |     "effective_vertex_matches_independent_logit_difference": true,
000026 |     "independent_fock_full_partition": true,
000027 |     "independent_fock_full_unnormalized_marginal": true,
000028 |     "independent_fock_all_retained_words_via_density": true,
000029 |     "dropping_partition_ratio_changes_absolute_source": true,
000030 |     "review_sigmaX_actually_has_half_diagonal": true,
000031 |     "commutation_is_sufficient_not_necessary_for_compressed_logit_equality": true,
000032 |     "actual_singular_pair_matches_exact_retained_occupation": true,
000033 |     "exact_static_marginal_is_not_autonomous_original_physical_time": true,
000034 |     "original_retained_time_amplitude_matches_full_partner_memory": true,
000035 |     "native_full96_Phi_is_hermitian": true,
000036 |     "native_full96_Phi_is_odd": true,
000037 |     "tail_control_at_t_0.001": true,
000038 |     "poisson_circle_heat_t_0.001": true,
000039 |     "tail_control_at_t_0.00025": true,
000040 |     "poisson_circle_heat_t_0.00025": true,
000041 |     "tail_control_at_t_6.25e-05": true,
000042 |     "poisson_circle_heat_t_6.25e-05": true,
000043 |     "tail_control_at_t_1.5625e-05": true,
000044 |     "poisson_circle_heat_t_1.5625e-05": true,
000045 |     "finite_internal_fibre_leaves_dimension_one": true,
000046 |     "finite_internal_multiplicity_does_not_give_dimension_three": true
000047 |   },
000048 |   "metrics": {
000049 |     "noether_tangent_first_ward": 3.7274541064584575e-18,
000050 |     "noether_orbit_second_ward": 9.992007221626409e-16,
000051 |     "gibbs_BKM_hessian_is_symmetric": 1.2179910026770093e-16,
000052 |     "whole_partition_is_constant_on_actual_higgs_rotation": 7.105427357601002e-15,
000053 |     "BKM_hessian_matches_independent_partition_difference": 2.9618336316872274e-07,
000054 |     "BKM_tangent": 3.942479350514124,
000055 |     "instantaneous_tangent_variance": 4.032373251317324,
000056 |     "unitary_orbit_partition_derivative_is_identity": 1.9326565236889692e-16,
000057 |     "radial_W_gradient": 1.1827438051542338,
000058 |     "odd_force_principal_symbol_change_norm": 19.92277030184171,
000059 |     "native_entropy_first_law": 9.012719015544235e-09,
000060 |     "relative_entropy_to_distinct_radial_state": 0.004849853741446676,
000061 |     "retained_vertex_reconstructs_full_marginal_derivative": 7.054529411240344e-18,
000062 |     "effective_vertex_matches_independent_logit_difference": 8.644517730167975e-11,
000063 |     "native_marginal_covariance_defect": 0.0004658833280539866,
000064 |     "native_effective_higgs_vertex_norm": 0.012355221413395484,
000065 |     "independent_fock_full_partition": 8.881784197001252e-16,
000066 |     "independent_fock_full_unnormalized_marginal": 6.661338147750939e-16,
000067 |     "independent_fock_all_retained_words_via_density": 1.5700924586837752e-16,
000068 |     "one_actual_singular_pair_absolute_trace_ratio": 1.9411362982039795,
000069 |     "review_sigmaX_actually_has_half_diagonal": 1.1102230246251565e-16,
000070 |     "actual_singular_pair_matches_exact_retained_occupation": 1.1102230246251565e-16,
000071 |     "original_retained_time_amplitude_matches_full_partner_memory": 1.1443916996305594e-16,
000072 |     "retained_physical_time_amplitude_modulus": 0.8892952747508679,
000073 |     "native_full96_Phi_is_hermitian": 0.0,
000074 |     "native_full96_Phi_is_odd": 0.0,
000075 |     "poisson_circle_heat_t_0.001": 0.0,
000076 |     "poisson_circle_heat_t_0.00025": 0.0,
000077 |     "poisson_circle_heat_t_6.25e-05": 0.0,
000078 |     "poisson_circle_heat_t_1.5625e-05": 1.1102230246251565e-16,
000079 |     "heat_times": [
000080 |       0.001,
000081 |       0.00025,
000082 |       6.25e-05,
000083 |       1.5625e-05
000084 |     ],
000085 |     "spatial_spectral_dimensions": [
000086 |       1.008348457841783,
000087 |       1.0020998340589564,
000088 |       1.0005257594600565,
000089 |       1.0001314900179261
000090 |     ],
000091 |     "hypothesis_scope": "Given circle + fixed finite internal fibre only; no exclusion of other emergent or holographic spacetime maps."
000092 |   },
000093 |   "passed": 42,
000094 |   "failed": 0,
000095 |   "ledger_changed": false,
000096 |   "new_lean_run": false,
000097 |   "primitive_field_measure_derived": false,
000098 |   "physical_3plus1_or_spin2_derived": false
000099 | }