TFPT scientific source excerpt Original repository path: experiments/theory-contracts/mixed-current-origin-20261014/odd-refielding-results.json Original file SHA-256: e75c923bac26234da23dedee0d8ae8795e8fb87512c1bfc13b330e2bb5cccdf6 Inclusive original lines: 1-32 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": "2026-10-22", 000003 | "result": "EXACT_TIME_Q_COMPATIBLE_ODD_REFIELDING_BUT_NOT_ORIGINAL_LOCAL_NET", 000004 | "rho_involution_Q_and_energy_preserved": true, 000005 | "theta_controls": [ 000006 | { 000007 | "alpha": "1/4", 000008 | "all_energy_Q_parity_coefficients_equal_through_quarter_units": 128, 000009 | "coefficient_keys": 352 000010 | }, 000011 | { 000012 | "alpha": "3/4", 000013 | "all_energy_Q_parity_coefficients_equal_through_quarter_units": 128, 000014 | "coefficient_keys": 352 000015 | } 000016 | ], 000017 | "proof_of_all_energy_equality": "rho(p)=Pp+r,Pr=-r,Pdelta=delta+r,r\u00b2/2+delta.r=0", 000018 | "even_sector_unchanged": true, 000019 | "primitive_W1_target_action": "q -> A q+lambda, A=P R=R^5, lambda=(1/2)^5(-1/2)^3", 000020 | "primitive_W1_charge_increment": 1, 000021 | "primitive_W1_K_increment": "(Q+alpha)/8", 000022 | "primitive_W1_eighth_power": "q -> q+(1)^8; charge increases8", 000023 | "primitive_W1_is_local_spinor_field": false, 000024 | "odd_Cartan_beta_pullback": "H_beta becomes1-H_beta for beta=e0-e4", 000025 | "proper_locality_obstruction": "For mean-zero localized beta-current and Pbeta=-beta,Wprime=Pi_even W+Pi_odd W*. For an odd remote CAR unitary B,[Wprime,B]=parity B(W-W*),nonzero.", 000026 | "exact_finite_CAR_commutator_norm": 2, 000027 | "finite_Arf_anchor_sign_D5_root_commutator_rank": 4, 000028 | "finite_Arf_anchor_sign_D5_root_commutator_HS_squared": 16, 000029 | "finite_Arf_scope": "Excludes literal D5-equivariant identification of the existing anchor-bit sign with a uniform central NS/R boundary label; no refutation of the finite Arf theorem or all geometric Pfaffian maps.", 000030 | "microscopic_P1_spinor_origin_derived": false, 000031 | "new_energy_or_source_copy_chosen": false 000032 | }