TFPT scientific source excerpt Original repository path: experiments/theory-contracts/collar-current-source-bridge-20261021/contract_index.json Original file SHA-256: 80de96c729cf3e744da3fdc8ae5da56f3588692de12a8f62dd7602036d92e108 Inclusive original lines: 1-61 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": "collar-current-source-bridge-20261021", 000003 | "date": "20261021", 000004 | "research_id": "UR.COLLAR.FACE_CURRENT.01", 000005 | "question": "Which part of the scalar two-face current bridge survives the original complete Dirac lift, physical boundary domain and chiral-measure identification?", 000006 | "verdict": "PARTIAL", 000007 | "mathematical_verdict": "EXACT_CONDITIONAL_TWO_FACE_TO_CURRENT_BRIDGE_WITH_DIFFERENT_SOURCE_LIFTS", 000008 | "checker": "checker.py", 000009 | "firewall": "experiments", 000010 | "claims_tested": [], 000011 | "gates": [], 000012 | "positive_results": [ 000013 | "Original graph supplies second-face level1 cocycle, thermal current response and its original sea limit, without an independent current normalization.", 000014 | "Full charge carry and the original time scale are retained in the thermal/Hall history formulas.", 000015 | "Common and one-face source lifts have the same face marginal but different full covariances and coherent phases.", 000016 | "Relative endpoint graph T_phi=g_phi T has an explicit scalar transport-block source family, independent of its interior frame interpolation.", 000017 | "Full existing Dirac lift and its bounded Hermitian endpoint perturbation are explicit; transported-domain and fixed-domain sources are distinguished.", 000018 | "The original grading already identifies the scalar chiral differential block, while its physical fermion measure/line connection remains to be derived." 000019 | ], 000020 | "kills": [ 000021 | "Equality of the reduced face covariance identifies common two-face gauge transport with the one-face source current on the full source.", 000022 | "The common two-face density cocycle equals the chiral second-face cocycle.", 000023 | "Automatic identification of the full Lagrangian Dirac Cauchy CAR vector-current cocycle with the scalar chiral one: the complete normal-commuting cocycle is zero.", 000024 | "A component-selective phase retains both fixed Dirac Clifford symbols.", 000025 | "Four-mark-fixed nonconstant profiles preserve the fixed original Hardy/APS subspace." 000026 | ], 000027 | "new_assumptions": [ 000028 | "Reuse explicitly given charged CAR on both faces with pure quasifree covariance G; this statistical premise is not derived from P1.", 000029 | "Relative endpoint transport is constructed as a frame/source family, not asserted to be a physically executed intervention." 000030 | ], 000031 | "relations": [ 000032 | { 000033 | "type": "references", 000034 | "target": "seam-full-collar-reconstruction-20261015" 000035 | }, 000036 | { 000037 | "type": "references", 000038 | "target": "joint-native-algebra-selection-20261016" 000039 | }, 000040 | { 000041 | "type": "references", 000042 | "target": "seam-collar-multifield-20261016" 000043 | } 000044 | ], 000045 | "leaves_open": [ 000046 | "P1 origin of the CAR source and its physical field identification", 000047 | "Physical boundary attachment selection and original OS A/A*-admissibility of the endpoint operation", 000048 | "Original physical chiral measure and connection, distinguished from the full Dirac vector source", 000049 | "Determinant-line connection compatibility, events and record dynamics", 000050 | "All complete physical T1-T8 claims" 000051 | ], 000052 | "physical_gates_closed": [], 000053 | "complete_TFPT_solution": false, 000054 | "novelty_scope": "Typed TFPT source bridge plus a complete-Dirac structural restriction of its proposed physical identification; standard current and Dirac mathematics, no general novelty claimed.", 000055 | "continuation": { 000056 | "proof": "DIRAC-LIFT-ADMISSIBILITY.md", 000057 | "checker": "check_dirac_lift.py", 000058 | "results": "dirac_lift_results.json", 000059 | "scope": "Complete original two-component module, both faces and explicit CAR/implementability hypotheses; no 4D no-go or physical Padm identification." 000060 | } 000061 | }