TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/NORMAL-SOURCE-PLACEMENT.json Original file SHA-256: 6c592fcaf4396172d0bae091012950768101cc17fc49278fb535abfb34822c73 Inclusive original lines: 1-40 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": "2026-10-31", 000003 | "result": "R052", 000004 | "scope": "Original fixed H0(O1) multiplier class and common-core first-order producer/placement identities. No chosen normal geometry,horizontal connection,physical profile or exact dynamical reduction.", 000005 | "all_passed": true, 000006 | "checks": [ 000007 | { 000008 | "name": "first order scalar commutator including full potential", 000009 | "passed": true 000010 | }, 000011 | { 000012 | "name": "full congruence derivative retains both ordered factors", 000013 | "passed": true 000014 | }, 000015 | { 000016 | "name": "unscaled normal operator has exact multiplier residual", 000017 | "passed": true 000018 | }, 000019 | { 000020 | "name": "whole outer insertion congruence identity", 000021 | "passed": true 000022 | }, 000023 | { 000024 | "name": "outer insertion defect retains first order commutator", 000025 | "passed": true 000026 | }, 000027 | { 000028 | "name": "all smooth scalar multipliers preserving original O1 span are constant", 000029 | "passed": true 000030 | }, 000031 | { 000032 | "name": "full horizontal normal derivative includes symbol and mixed curvature", 000033 | "passed": true 000034 | }, 000035 | { 000036 | "name": "real nonzero normal covector has invertible Clifford action", 000037 | "passed": true 000038 | } 000039 | ] 000040 | }