TFPT scientific source excerpt Original repository path: experiments/theory-contracts/seam-positive-kernel-search-20261015/integral_genesis_checks.json Original file SHA-256: eb46d8821c7143579fb7b6011db560be4df34a778bb257b9b436aab3768a0eb0 Inclusive original lines: 1-127 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 | "schema": "tfpt.genesis-checks.v1", 000003 | "checks": [ 000004 | { 000005 | "id": "quillen-relative-normalization", 000006 | "question": "Can the normalized holonomy Quillen function alone retain the geometric zero-source derivative?", 000007 | "command": [ 000008 | "python3", 000009 | "-B", 000010 | "-OO", 000011 | "experiments/theory-contracts/seam-positive-kernel-search-20261015/genesis_checks.py", 000012 | "--check", 000013 | "quillen-relative-normalization" 000014 | ], 000015 | "source_ids": [ 000016 | "finding:original-quarter-pair-fixes-square-charge-law-half-response-and-real-quillen-norm" 000017 | ], 000018 | "premise_ids": [ 000019 | "premise:typed-source-structures", 000020 | "premise:given-original-elliptic-quarter-source-and-supported-scalar-current-insertion" 000021 | ], 000022 | "scope": "Given original elliptic free source, specified unit-charge probe and same co-moving reference; not a universal physical TFPT origin or replica theorem." 000023 | }, 000024 | { 000025 | "id": "theta-heat-shape-response", 000026 | "question": "Does Poisson self-duality and the theta heat equation connect charge curvature to the theta modulus derivative?", 000027 | "command": [ 000028 | "python3", 000029 | "-B", 000030 | "-OO", 000031 | "experiments/theory-contracts/seam-positive-kernel-search-20261015/genesis_checks.py", 000032 | "--check", 000033 | "theta-heat-shape-response" 000034 | ], 000035 | "source_ids": [ 000036 | "finding:original-quarter-pair-fixes-square-charge-law-half-response-and-real-quillen-norm" 000037 | ], 000038 | "premise_ids": [ 000039 | "premise:typed-source-structures", 000040 | "premise:given-original-elliptic-quarter-source-and-supported-scalar-current-insertion" 000041 | ], 000042 | "scope": "Given original elliptic free source, specified unit-charge probe and same co-moving reference; not a universal physical TFPT origin or replica theorem." 000043 | }, 000044 | { 000045 | "id": "doubled-source-counting", 000046 | "question": "Are the two independent quarter blocks the two faces, and does their total eta control their half susceptibility?", 000047 | "command": [ 000048 | "python3", 000049 | "-B", 000050 | "-OO", 000051 | "experiments/theory-contracts/seam-positive-kernel-search-20261015/genesis_checks.py", 000052 | "--check", 000053 | "doubled-source-counting" 000054 | ], 000055 | "source_ids": [ 000056 | "finding:original-quarter-pair-fixes-square-charge-law-half-response-and-real-quillen-norm" 000057 | ], 000058 | "premise_ids": [ 000059 | "premise:typed-source-structures", 000060 | "premise:given-original-elliptic-quarter-source-and-supported-scalar-current-insertion" 000061 | ], 000062 | "scope": "Given original elliptic free source, specified unit-charge probe and same co-moving reference; not a universal physical TFPT origin or replica theorem." 000063 | }, 000064 | { 000065 | "id": "variable-mark-completion", 000066 | "question": "In the explicit standard D_(n+1)+A_(n-1) class, do complete even unimodular gluing and an actually local primitive family-discriminant charge allow higher n than4?", 000067 | "command": [ 000068 | "python3", 000069 | "-B", 000070 | "-OO", 000071 | "experiments/theory-contracts/seam-positive-kernel-search-20261015/genesis_checks.py", 000072 | "--check", 000073 | "variable-mark-completion" 000074 | ], 000075 | "source_ids": [ 000076 | "script:v1_e8_glue", 000077 | "script:v189_riemann_roch_carrier" 000078 | ], 000079 | "premise_ids": [ 000080 | "premise:typed-source-structures" 000081 | ], 000082 | "scope": "Conditional candidate family: standard positive D/A pairing is assumed; actually local primitive family charge is additional, not inferred from topological winding. Not all possible quantum or TFPT sources." 000083 | }, 000084 | { 000085 | "id": "primitive-integral-completion", 000086 | "question": "Does a primitive family projection of an integral standard D/A overlattice permit n other than four?", 000087 | "command": [ 000088 | "python3", 000089 | "-B", 000090 | "-OO", 000091 | "experiments/theory-contracts/seam-positive-kernel-search-20261015/integral_origin_checks.py", 000092 | "--check", 000093 | "primitive-integral-completion" 000094 | ], 000095 | "source_ids": [ 000096 | "script:v983_simple_current_generator", 000097 | "finding:joint-integral-unimodular-charge-closure-uniquely-selects-complete-invariant-metric", 000098 | "finding:r102-primitive-integral-charge-forces-entire-e8-completion" 000099 | ], 000100 | "premise_ids": [ 000101 | "premise:typed-source-structures", 000102 | "premise:standard-integral-extension-with-primitive-family-charge" 000103 | ], 000104 | "scope": "Assumes standard positive D_(n+1)+A_(n-1) pairing, integral overlattice, primitive family projection and n>=3; no unproved one-sided locality, physical P1 source or universal inference." 000105 | }, 000106 | { 000107 | "id": "function-differential-typing", 000108 | "question": "Does the quotient of five divisor functions by constants have dimension three?", 000109 | "command": [ 000110 | "python3", 000111 | "-B", 000112 | "-OO", 000113 | "experiments/theory-contracts/seam-positive-kernel-search-20261015/integral_origin_checks.py", 000114 | "--check", 000115 | "function-differential-typing" 000116 | ], 000117 | "source_ids": [ 000118 | "script:v189_riemann_roch_carrier", 000119 | "script:v228_rr_index_gate" 000120 | ], 000121 | "premise_ids": [ 000122 | "premise:typed-source-structures" 000123 | ], 000124 | "scope": "Given genus-zero four-point divisor; separates functions, principal parts and differentials, no physical field identification." 000125 | } 000126 | ] 000127 | }