TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WHOLE-SCALE-ENERGY-RECONSTRUCTION.json Original file SHA-256: 5dbbbc34ae521765422716d2e1421c27bae3b73f5494fa5cac9d12fe7187985b Inclusive original lines: 1-35 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": "WHOLE-SCALE-ENERGY-RECONSTRUCTION-20261031", 000003 | "all_passed": true, 000004 | "checks": { 000005 | "original_normal_and_coupled_block_contract": true, 000006 | "full_variable_scale_null_solution_transport": true, 000007 | "nonzero_energy_weight_exact_without_commutation": true, 000008 | "unweighted_energy_substitution_has_nonzero_defect": true, 000009 | "nonconstant_scale_operator_variation_is_anticommutator": true, 000010 | "independent_whole_transfer_energy_derivative_gives_flat_moments": true, 000011 | "unchanged_original_flat_source_recovers_whole_profile_one": true, 000012 | "normal_profile_mutation_transfer_moment_0": true, 000013 | "normal_profile_mutation_transfer_moment_1": true, 000014 | "normal_profile_mutation_transfer_moment_2": true, 000015 | "same_inverse_recovers_positive_profile_mutation_without_scan": true, 000016 | "chiral_variation_is_half_whole_trace_not_naive_inserted_half": true, 000017 | "FP_and_logdet_read_different_Laurent_coefficients": true, 000018 | "smeared_Higgs_divergence_cannot_be_dropped": true, 000019 | "local_Higgs_divergence_coefficient_from_full_heat_trace": true 000020 | }, 000021 | "details": { 000022 | "flat_transfer_moment_max_abs_error": "1.2272734e-91", 000023 | "flat_reconstruction_coefficients": [ 000024 | "1.0", 000025 | "2.117707e-84", 000026 | "-1.151983e-83", 000027 | "3.221671e-83", 000028 | "-4.7724739e-83", 000029 | "3.5567906e-83", 000030 | "-1.0484068e-83" 000031 | ], 000032 | "diagnostics_only": "Numerical inversion of the existing historical odd block and one positive profile mutation; not a measured TFPT scale,full3+1D fit or infinite-data stability proof." 000033 | }, 000034 | "scope": "Analytic proof supplies whole profile uniqueness using the cited Muntz theorem. Controls test differential identities,independent energy response,Gram inversion,Laurent coefficients and a false chiral-weight shortcut. No new physical source,Y/MR,domain or metric selected;no new Lean formalization." 000035 | }