TFPT scientific source excerpt Original repository path: experiments/theory-contracts/historical-dynamics-source-recovery-20261103/whole-source-pairing-E.json Original file SHA-256: 0b0ff3099e043690b774401b9fabd0b64d2e94d040e4d3bbaf91802ee90229c8 Inclusive original lines: 1-118 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 | "result_id": "TORSION20261104E", 000003 | "passed": 78, 000004 | "checks": { 000005 | "actual_total_Weyl_dimension_-1": true, 000006 | "actual_particle_and_antiparticle_Weyl_slots_-1": true, 000007 | "actual_axial_pairing_skew_-1_0": true, 000008 | "actual_axial_pairing_unit_norm_-1_0": true, 000009 | "actual_axial_pairing_has_no_zero_species_slots_-1_0": true, 000010 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_-1_0": true, 000011 | "actual_current_has_no_particle_particle_block_-1_0": true, 000012 | "actual_current_has_no_antiparticle_antiparticle_block_-1_0": true, 000013 | "actual_axial_pairing_skew_-1_1": true, 000014 | "actual_axial_pairing_unit_norm_-1_1": true, 000015 | "actual_axial_pairing_has_no_zero_species_slots_-1_1": true, 000016 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_-1_1": true, 000017 | "actual_current_has_no_particle_particle_block_-1_1": true, 000018 | "actual_current_has_no_antiparticle_antiparticle_block_-1_1": true, 000019 | "actual_axial_pairing_skew_-1_2": true, 000020 | "actual_axial_pairing_unit_norm_-1_2": true, 000021 | "actual_axial_pairing_has_no_zero_species_slots_-1_2": true, 000022 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_-1_2": true, 000023 | "actual_current_has_no_particle_particle_block_-1_2": true, 000024 | "actual_current_has_no_antiparticle_antiparticle_block_-1_2": true, 000025 | "actual_axial_pairing_skew_-1_3": true, 000026 | "actual_axial_pairing_unit_norm_-1_3": true, 000027 | "actual_axial_pairing_has_no_zero_species_slots_-1_3": true, 000028 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_-1_3": true, 000029 | "actual_current_has_no_particle_particle_block_-1_3": true, 000030 | "actual_current_has_no_antiparticle_antiparticle_block_-1_3": true, 000031 | "whole_Yukawa_Majorana_axial_Ward_mass_term_-1": true, 000032 | "whole_axial_Ward_mass_pairing_skew_-1": true, 000033 | "actual_Majorana_same_side_mass_norm_-1_particle": true, 000034 | "actual_Majorana_same_side_mass_norm_-1_antiparticle": true, 000035 | "actual_total_Weyl_dimension_1": true, 000036 | "actual_particle_and_antiparticle_Weyl_slots_1": true, 000037 | "actual_axial_pairing_skew_1_0": true, 000038 | "actual_axial_pairing_unit_norm_1_0": true, 000039 | "actual_axial_pairing_has_no_zero_species_slots_1_0": true, 000040 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_1_0": true, 000041 | "actual_current_has_no_particle_particle_block_1_0": true, 000042 | "actual_current_has_no_antiparticle_antiparticle_block_1_0": true, 000043 | "actual_axial_pairing_skew_1_1": true, 000044 | "actual_axial_pairing_unit_norm_1_1": true, 000045 | "actual_axial_pairing_has_no_zero_species_slots_1_1": true, 000046 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_1_1": true, 000047 | "actual_current_has_no_particle_particle_block_1_1": true, 000048 | "actual_current_has_no_antiparticle_antiparticle_block_1_1": true, 000049 | "actual_axial_pairing_skew_1_2": true, 000050 | "actual_axial_pairing_unit_norm_1_2": true, 000051 | "actual_axial_pairing_has_no_zero_species_slots_1_2": true, 000052 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_1_2": true, 000053 | "actual_current_has_no_particle_particle_block_1_2": true, 000054 | "actual_current_has_no_antiparticle_antiparticle_block_1_2": true, 000055 | "actual_axial_pairing_skew_1_3": true, 000056 | "actual_axial_pairing_unit_norm_1_3": true, 000057 | "actual_axial_pairing_has_no_zero_species_slots_1_3": true, 000058 | "actual_Majorana_half_pairing_matches_minus_three_quarters_current_1_3": true, 000059 | "actual_current_has_no_particle_particle_block_1_3": true, 000060 | "actual_current_has_no_antiparticle_antiparticle_block_1_3": true, 000061 | "whole_Yukawa_Majorana_axial_Ward_mass_term_1": true, 000062 | "whole_axial_Ward_mass_pairing_skew_1": true, 000063 | "actual_Majorana_same_side_mass_norm_1_particle": true, 000064 | "actual_Majorana_same_side_mass_norm_1_antiparticle": true, 000065 | "actual_full96_Higgs_trace_with_fixed_Majorana": true, 000066 | "actual_nonzero_bulk_torsion_Higgs_mixed_vertex": true, 000067 | "whole_historical_shared_current_contact": true, 000068 | "whole_historical_intersector_contact_coefficient": true, 000069 | "commuting_filters_joint_range_identity": true, 000070 | "same_filters_are_not_orthogonal_sector_projectors": true, 000071 | "direct_sum_trace_log_mixed_derivative_nonzero": true, 000072 | "tensor_product_log_adds": true, 000073 | "generic_Pfaffian_congruence_full_basis": true, 000074 | "whole_Berezin_source_transport_including_eta_sector_15": true, 000075 | "whole_Berezin_source_transport_including_eta_sector_63": true, 000076 | "whole_Berezin_source_transport_including_eta_sector_95": true, 000077 | "whole_Berezin_source_transport_including_eta_sector_111": true, 000078 | "whole_Berezin_source_transport_including_eta_sector_159": true, 000079 | "whole_Berezin_source_transport_including_eta_sector_175": true, 000080 | "whole_Berezin_source_transport_including_eta_sector_207": true, 000081 | "whole_Berezin_source_transport_including_eta_sector_255": true, 000082 | "whole_source_transport_all_eight_external_eta_sectors": true 000083 | }, 000084 | "original_pairing": { 000085 | "total_Weyl_dimensions": { 000086 | "minus": 192, 000087 | "plus": 192 000088 | }, 000089 | "torsion_current_matrix": "L_mu,eps=Eeps^T(C tensor KF)^dagger(gamma_mu gamma5 tensor I96)Eeps", 000090 | "actual_current": "J5E_mu=-i psi^T L_mu,eps psi/2", 000091 | "actual_action_vertex": "(3i/8) S_mu psi^T L_mu,eps psi=-(3/4) S_mu J5E_mu", 000092 | "current_matrices_nonzero_on_every_species_slot": true, 000093 | "current_has_only_particle_antiparticle_cross_blocks": true, 000094 | "Majorana_same_side_mass_block_norm": "2Tr(MR*MR) on each side and each total Weyl chart", 000095 | "all_original_Yukawa_and_Majorana_entries_symbolic": true, 000096 | "total_chiral_projector_is_not_Padm": true 000097 | }, 000098 | "whole_source_transport": { 000099 | "matrix": "Mprime=V^T M V", 000100 | "source": "etaprime=V^T eta", 000101 | "Berezinian": "det(V)^-1, including field-dependent V with unchanged bosonic coordinates", 000102 | "no_inverse_fermion_kernel_used": true, 000103 | "infinite_anomalous_Jacobian_not_computed": true 000104 | }, 000105 | "whole_assembly": { 000106 | "commuting_filters": "Pi restricted to Ran(product Pj) is identity, not an independent orthogonal sector", 000107 | "direct_sum_thermal_trace": "Z(A directsum B)=ZA+ZB", 000108 | "tensor_product_uncoupled_trace": "Z(A tensor I+I tensor B)=ZA ZB when the actual joint state/trace factorizes", 000109 | "direct_sum_determinant": "det(A directsum B)=detA detB", 000110 | "actual_original_geometric_mixed_vertex": "partial_S_tangent^2 partial_r^2 a4=-9 A_Y/(8pi²) per flat bulk volume; A_Y=12Tr(Yu*Yu+Yd*Yd)+4Tr(Ye*Ye+Ynu*Ynu)", 000111 | "whole_historical_current_contact": "-3 kappa_phys²/16 (sum_f J5_f)²; cross coefficient -3 kappa_phys²/8 for each unordered distinct pair", 000112 | "mixed_scope": "ordinary original Spin4 product, constant radial Higgs, fixed MR, deck-even tangential torsion; both bound references independent of this S direction; no arbitrary Brel/domain cancellation theorem" 000113 | }, 000114 | "primitive_original_full_field_integration_evaluated": false, 000115 | "full_Sadm_derived": false, 000116 | "physical_Htrpos_derived": false, 000117 | "common_physical_spectrum_computed": false 000118 | }