TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HIGGS-SUPERCONNECTION-REDUCTION.json Original file SHA-256: 3b55330fb9f7f03acc77657e0a3b24d03c20c976aa2fc87b7f8ad3c3d68c1c94 Inclusive original lines: 1-43 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 | "contract": "ORIGINAL-HIGGS-SUPERCONNECTION-REDUCTION-20261031", 000003 | "all_passed": true, 000004 | "checks": { 000005 | "Euclidean_Clifford_and_chirality": true, 000006 | "all_four_derivative_spin_components_orthogonal_to_all_six_curvatures": true, 000007 | "all_four_derivative_components_have_exact_unit_projection": true, 000008 | "derivative_spin_trace_and_mixed_scalar_trace_vanish": true, 000009 | "derivative_spin_matrices_are_Hermitian": true, 000010 | "whole_derivative_square_spin_trace": true, 000011 | "constant_field_heat_ratio_remains_minus12": true, 000012 | "actual_original96_chirality_projection_annihilates_odd_vertex": true, 000013 | "actual_original96_square_projection_defect_is_not_zero": true, 000014 | "actual_original96_Higgs_defect_trace_is_Au_half": true, 000015 | "actual_original96_projection_defect_has_positive_Gram_form": true, 000016 | "actual_original96_mass_square_commutes_with_finite_chirality": true, 000017 | "actual_original96_derivative_moment_direction_0": true, 000018 | "actual_original96_weighted_heat_retains_half_kinetic_direction_0": true, 000019 | "actual_original96_derivative_moment_direction_1": true, 000020 | "actual_original96_weighted_heat_retains_half_kinetic_direction_1": true, 000021 | "actual_original96_derivative_moment_direction_2": true, 000022 | "actual_original96_weighted_heat_retains_half_kinetic_direction_2": true, 000023 | "actual_original96_derivative_moment_direction_3": true, 000024 | "actual_original96_weighted_heat_retains_half_kinetic_direction_3": true, 000025 | "complete_block_inverse_including_all_exterior_entries": true, 000026 | "finite_determinant_includes_exterior_factor": true, 000027 | "complete_sources_have_two_shifted_legs_and_direct_exterior_term": true, 000028 | "Schur_spectral_derivative_has_exterior_weight": true, 000029 | "full_resolvent_trace_needs_log_derivative_and_exterior": true, 000030 | "naive_projected_resolvent_trace_is_not_whole_trace": true, 000031 | "positive_squared_operator_resolvent_uses_both_signed_resolvents": true, 000032 | "complete_Schur_jet_0_retains_background_and_exterior": true, 000033 | "complete_Schur_jet_1_retains_background_and_exterior": true, 000034 | "complete_Schur_jet_2_retains_background_and_exterior": true, 000035 | "complete_Schur_jet_3_retains_background_and_exterior": true, 000036 | "complete_Schur_jet_4_retains_background_and_exterior": true, 000037 | "full_logdet_H2_jet_equals_original_unsplit_matrix": true, 000038 | "full_logdet_H4_jet_equals_original_unsplit_matrix": true, 000039 | "noncommuting_Higgs_jet_blocks_are_actually_noncommuting": true, 000040 | "noncommuting_fourth_jet_cyclic_ordering_is_correct": true 000041 | }, 000042 | "scope": "Existing conditional spin4/full96 original consumer; exact finite block identities and jets. Three/four-slot diagnostics are identity tests, not chosen physical normal operators. Actual normal projection, domain, weighted trace and infinite relative continuation remain original inputs; no new Lean proof or physical closure." 000043 | }