TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/det16-origin-results.json
Original file SHA-256: e4a4b5f663b25f04eaf835d88d2186049491383cc84ade5e8843a9e19b4ce0e2
Inclusive original lines: 1-145
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 |   "status": "pass",
000003 |   "native_dimension": 65536,
000004 |   "phi": 0.4487989505128276,
000005 |   "generator": "H=2I-P0-P16-exp(i phi) Omega_dagger-exp(-i phi) Omega",
000006 |   "original_sparse_identity_max_error": 0.0,
000007 |   "vacuum_to_full": [
000008 |     -0.9009688679024191,
000009 |     -0.4338837391175581
000010 |   ],
000011 |   "short_time_taylor_jets": [
000012 |     {
000013 |       "order": 0,
000014 |       "coefficient": [
000015 |         0.0,
000016 |         0.0
000017 |       ],
000018 |       "operator_error": 0.0
000019 |     },
000020 |     {
000021 |       "order": 1,
000022 |       "coefficient": [
000023 |         0.9009688679024191,
000024 |         0.4338837391175581
000025 |       ],
000026 |       "operator_error": 0.0
000027 |     },
000028 |     {
000029 |       "order": 2,
000030 |       "coefficient": [
000031 |         -0.9009688679024191,
000032 |         -0.4338837391175581
000033 |       ],
000034 |       "operator_error": 1.104511482517309e-17
000035 |     },
000036 |     {
000037 |       "order": 3,
000038 |       "coefficient": [
000039 |         0.6006459119349461,
000040 |         0.2892558260783721
000041 |       ],
000042 |       "operator_error": 3.313534447551927e-17
000043 |     }
000044 |   ],
000045 |   "semigroup_checks": [
000046 |     {
000047 |       "epsilon": 0.01,
000048 |       "max_abs_error": 1.1102230246251565e-16,
000049 |       "empty_to_full": [
000050 |         0.008920189446889314,
000051 |         0.004295736832576662
000052 |       ]
000053 |     },
000054 |     {
000055 |       "epsilon": 0.17,
000056 |       "max_abs_error": 8.060949491716011e-19,
000057 |       "empty_to_full": [
000058 |         0.1298429829982256,
000059 |         0.06252908504220292
000060 |       ]
000061 |     },
000062 |     {
000063 |       "epsilon": 0.5,
000064 |       "max_abs_error": 1.1106911415819478e-16,
000065 |       "empty_to_full": [
000066 |         0.2847604721328051,
000067 |         0.13713341581880747
000068 |       ]
000069 |     }
000070 |   ],
000071 |   "diagonal_squarefree_degree_coefficients": [
000072 |     1,
000073 |     1,
000074 |     -1,
000075 |     1,
000076 |     -1,
000077 |     1,
000078 |     -1,
000079 |     1,
000080 |     -1,
000081 |     1,
000082 |     -1,
000083 |     1,
000084 |     -1,
000085 |     1,
000086 |     -1,
000087 |     1,
000088 |     -2
000089 |   ],
000090 |   "diagonal_by_occupation": [
000091 |     1,
000092 |     2,
000093 |     2,
000094 |     2,
000095 |     2,
000096 |     2,
000097 |     2,
000098 |     2,
000099 |     2,
000100 |     2,
000101 |     2,
000102 |     2,
000103 |     2,
000104 |     2,
000105 |     2,
000106 |     2,
000107 |     1
000108 |   ],
000109 |   "original_root_su2_weights": {
000110 |     "-1": 4,
000111 |     "0": 8,
000112 |     "1": 4
000113 |   },
000114 |   "root_su2_scope": "Four doublets plus eight singlets under the specified root SU2. Only with the separately supplied 4D Weyl index and unit instanton normalization does this imply four chiral zero modes, not sixteen. No spacetime, topological sector, DET16 vertex or coupling is derived.",
000115 |   "original_number_charge_support": [
000116 |     -16,
000117 |     0,
000118 |     16
000119 |   ],
000120 |   "top_charge_component_max_error": 0.0,
000121 |   "number_phase_fourier_max_error": 3.30798985885205e-15,
000122 |   "quarter_average_aliases": [
000123 |     -16,
000124 |     -12,
000125 |     -8,
000126 |     -4,
000127 |     0,
000128 |     4,
000129 |     8,
000130 |     12,
000131 |     16
000132 |   ],
000133 |   "number_phase_scope": "33 diagnostic phase conjugations extract the complete number-charge band -16..16 without aliasing; the original quarter symmetry cannot distinguish charge16 from charge0. No physical continuous U1 symmetry or P1 clock identification is assumed.",
000134 |   "degree_counting": "For monomials of at most r fermion operators, each factor can change occupation by at most r; hence any empty-to-full matrix element of H^j vanishes for jr<16. Bosonic factors do not change that count. This assumes a bare common Fock factor and bounded fermion degree for every generator term, and does not assert this assumption for full TFPT.",
000135 |   "interpretation": "Normal-ordered Hamiltonian polynomial is not identified with an unrenormalized Euclidean action. This test neither selects coupling/phase from Spin(10) symmetry nor establishes the full TFPT source, its degree bound, or its physical transfer generator.",
000136 |   "source_sha256": {
000137 | [OMITTED: non-scientific conversation or execution metadata]
000138 | [OMITTED: non-scientific conversation or execution metadata]
000139 | [OMITTED: non-scientific conversation or execution metadata]
000140 |   },
000141 |   "python": "3.14.3 (main, Feb  3 2026, 15:32:20) [Clang 17.0.0 (clang-1700.6.3.2)]",
000142 |   "numpy": "2.4.2",
000143 |   "scipy": "1.17.0",
000144 |   "runtime_seconds": 0.11645862497971393
000145 | }