TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/B1-OPERATOR-INFORMATION.json Original file SHA-256: 7b2a14013e1e9af782691fa4e82d01f592dbb052632538b025b4cba8171c2f8b Inclusive original lines: 1-49 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": "B1-OPERATOR-INFORMATION-20261030", 000003 | "checks": { 000004 | "original_Y_MR_trace_orthogonal": true, 000005 | "radial_source_trace_separates_frame_orbits": true, 000006 | "radial_trace_difference_formula": true, 000007 | "full_D_odd_0": true, 000008 | "boundary_h_not_gamma_odd_0": true, 000009 | "whole_source_projection_0": true, 000010 | "logodds_recovers_given_h_0": true, 000011 | "full_D_odd_1": true, 000012 | "boundary_h_not_gamma_odd_1": true, 000013 | "whole_source_projection_1": true, 000014 | "logodds_recovers_given_h_1": true, 000015 | "original_radial_family_changes_C": true, 000016 | "original_radial_family_changes_whole_G": true, 000017 | "bounded_perturbation_exact": true, 000018 | "one_particle_weight_is_odds": true, 000019 | "signed_weight_not_even_heat": true, 000020 | "fock_density_normalized": true, 000021 | "fock_occupations_equal_C": true, 000022 | "alternative_positive_profile_same_f0": true, 000023 | "alternative_positive_profile_same_f2": true, 000024 | "alternative_positive_profile_same_f4": true, 000025 | "alternative_profile_higher_moment_differs": true, 000026 | "alternative_profile_global_positive": true, 000027 | "alternative_profile_not_original": true, 000028 | "alternative_profile_not_positive_laplace": true, 000029 | "general_variance_expansion": true, 000030 | "point_measure_moments_exact": true 000031 | }, 000032 | "all_passed": true, 000033 | "actual96_Tr_Phi_squared": [ 000034 | 1862.0, 000035 | 7238.0 000036 | ], 000037 | "actual96_whole_C_change_frobenius": 0.32529486447497286, 000038 | "actual96_whole_G_change_frobenius": 0.46369288113295803, 000039 | "positive_profile_counterexample": { 000040 | "polynomial": "u**3 - 6*u**2 + 6*u", 000041 | "epsilon": "1/20", 000042 | "f0": 1, 000043 | "f2": 1, 000044 | "f4": 1, 000045 | "next_moment": "13/5", 000046 | "positive_multiplier_lower_bound": "4/5 - sqrt(2)/5" 000047 | }, 000048 | "scope": "Actual v252 structural probes, fixed-mode numerical controls and exact profile counterexample. KK homotopy and unbounded-domain claims use the separate analytic proof; no finite truncation is a proof of those. No physical source or action is selected." 000049 | }