TFPT scientific source excerpt Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/fermionic_source_type_20261029/finite-fermion-type-results.json Original file SHA-256: 51b4cd83105b82670aa15f2923c2d80f1fc57d836a903bd918c6ace9617907b6 Inclusive original lines: 1-66 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 | "checks": { 000003 | "D_anticommutes_grading": true, 000004 | "J_anticommutes_grading": true, 000005 | "J_commutes_D": true, 000006 | "J_square_plus": true, 000007 | "actual_neutrino_block_has_q_characteristic": true, 000008 | "all_four_q_eigenvalues_are_simple_in_full_96": true, 000009 | "chiral_bilinear_nonzero_but_symmetric": true, 000010 | "finite_bilinear_symmetric": true, 000011 | "grading_modified_J_anticommutes_D": true, 000012 | "grading_modified_J_square_minus": true, 000013 | "grading_modified_bilinear_still_symmetric": true, 000014 | "grassmann_quadratic_coefficients_zero": true, 000015 | "no_majorana_control_allows_commuting_square_minus_J": true, 000016 | "only_KO2_has_both_required_signs": true, 000017 | "original_dimension_96": true, 000018 | "q_occurs_in_full_96_characteristic": true, 000019 | "same_J_fails_commutation_with_majorana_on": true, 000020 | "selfadjoint": true 000021 | }, 000022 | "chiral_dimension": 48, 000023 | "chiral_nonzero_bilinear_entries": 103, 000024 | "ko_sign_census": [ 000025 | { 000026 | "epsilon": 1, 000027 | "epsilon_doubleprime": 1, 000028 | "epsilon_prime": 1, 000029 | "ko": 0, 000030 | "preserves_chiral_pairing": false, 000031 | "skew": false 000032 | }, 000033 | { 000034 | "epsilon": -1, 000035 | "epsilon_doubleprime": -1, 000036 | "epsilon_prime": 1, 000037 | "ko": 2, 000038 | "preserves_chiral_pairing": true, 000039 | "skew": true 000040 | }, 000041 | { 000042 | "epsilon": -1, 000043 | "epsilon_doubleprime": 1, 000044 | "epsilon_prime": 1, 000045 | "ko": 4, 000046 | "preserves_chiral_pairing": false, 000047 | "skew": true 000048 | }, 000049 | { 000050 | "epsilon": 1, 000051 | "epsilon_doubleprime": -1, 000052 | "epsilon_prime": 1, 000053 | "ko": 6, 000054 | "preserves_chiral_pairing": true, 000055 | "skew": false 000056 | } 000057 | ], 000058 | "majorana_type_control": { 000059 | "gcd_q_and_full_characteristic_derivative": "1", 000060 | "neutrino_block": "Matrix([[0, 1, 0, 0], [1, 0, 0, 1], [0, 0, 0, 1], [0, 1, 1, 0]])", 000061 | "q": "lambda**4 - 3*lambda**2 + 1", 000062 | "scope": "An actual v252 constructor output, not the selected physical TFPT masses. A universal internal KO2 repair is excluded; no all-P1 or spacetime theorem." 000063 | }, 000064 | "scope": "Existing v252 finite constructor only; general identities proved in text. No original local P1 field action, spacetime domain, measure, reflection or full TFPT derived.", 000065 | "status": "PASS_SCOPED" 000066 | }