TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/NATIVE-T3-KERNEL.json
Original file SHA-256: 27f41a56b4b278dc8a1af4f793c6e4c7080dfb11f0dd76681dd690e198f84356
Inclusive original lines: 1-146
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 |   "execution_exit_code": 0,
000003 |   "native_path": "verification/v330_qgamb_admissible_measure.py",
000004 |   "native_function": "symmetric_transfer;correlator",
000005 |   "T_numerator": [
000006 |     [
000007 |       1651,
000008 |       1267,
000009 |       1456
000010 |     ],
000011 |     [
000012 |       1267,
000013 |       1651,
000014 |       1456
000015 |     ],
000016 |     [
000017 |       1456,
000018 |       1456,
000019 |       1462
000020 |     ]
000021 |   ],
000022 |   "T_denominator": 4374,
000023 |   "T": [
000024 |     [
000025 |       0.37745770461819855,
000026 |       0.28966620941929594,
000027 |       0.3328760859625058
000028 |     ],
000029 |     [
000030 |       0.28966620941929594,
000031 |       0.37745770461819855,
000032 |       0.3328760859625058
000033 |     ],
000034 |     [
000035 |       0.3328760859625058,
000036 |       0.3328760859625058,
000037 |       0.33424782807498865
000038 |     ]
000039 |   ],
000040 |   "H_OS": [
000041 |     [
000042 |       2.315007612992603,
000043 |       -0.11778303565638293,
000044 |       -2.19722457733622
000045 |     ],
000046 |     [
000047 |       -0.11778303565638293,
000048 |       2.315007612992603,
000049 |       -2.19722457733622
000050 |     ],
000051 |     [
000052 |       -2.19722457733622,
000053 |       -2.19722457733622,
000054 |       4.39444915467244
000055 |     ]
000056 |   ],
000057 |   "spectrum_H": [
000058 |     0,
000059 |     2.4327906486489863,
000060 |     6.591673732008658
000061 |   ],
000062 |   "whole_kernel_formula": "K(t)=P0+(64/729)^t P2+(1/729)^t P3; same original H_OS units",
000063 |   "stationary_cylinder_formula": "q(i0,...,iN)=1/3 product_j T[i_(j-1),i_j]",
000064 |   "all_D_words": "q=0 for odd k; for k=2m: (2/3)*lambda2^sum(gaps[0::2])*product_even_gaps[(2+lambda3^gap)/3]",
000065 |   "even_pair_gaps": "(t2-t1)+(t4-t3)+...+(tk-t_(k-1))",
000066 |   "C_n": "(2/3)*(64/729)^n",
000067 |   "two_sided_susceptibility": "1586/1995",
000068 |   "errors": {
000069 |     "native_T_vs_exact_rational": 1.1102230246251565e-16,
000070 |     "row_sums": 2.220446049250313e-16,
000071 |     "D_correlator_formula": 2.220446049250313e-16,
000072 |     "all_D_words_formula": 2.7755575615628914e-16
000073 |   },
000074 |   "scope": "The actual supplied three-state v330 source, not original all-field S_adm, CAR or physical-spacetime identification.",
000075 |   "word_formula_native_cases": [
000076 |     {
000077 |       "gaps": [],
000078 |       "word": 0.0,
000079 |       "formula": 0.0
000080 |     },
000081 |     {
000082 |       "gaps": [
000083 |         0
000084 |       ],
000085 |       "word": 0.6666666666666669,
000086 |       "formula": 0.6666666666666666
000087 |     },
000088 |     {
000089 |       "gaps": [
000090 |         1
000091 |       ],
000092 |       "word": 0.058527663465935104,
000093 |       "formula": 0.05852766346593505
000094 |     },
000095 |     {
000096 |       "gaps": [
000097 |         1,
000098 |         2,
000099 |         3
000100 |       ],
000101 |       "word": 2.6401443534373576e-05,
000102 |       "formula": 2.6401443534374233e-05
000103 |     },
000104 |     {
000105 |       "gaps": [
000106 |         0,
000107 |         1,
000108 |         0
000109 |       ],
000110 |       "word": 0.4447492760249964,
000111 |       "formula": 0.44474927602499614
000112 |     },
000113 |     {
000114 |       "gaps": [
000115 |         1,
000116 |         2,
000117 |         0,
000118 |         1,
000119 |         3
000120 |       ],
000121 |       "word": 1.761303434689083e-05,
000122 |       "formula": 1.7613034346891636e-05
000123 |     },
000124 |     {
000125 |       "gaps": [
000126 |         1,
000127 |         0,
000128 |         2,
000129 |         0,
000130 |         1,
000131 |         0,
000132 |         2
000133 |       ],
000134 |       "word": 3.052273280788099e-07,
000135 |       "formula": 3.0522732807881047e-07
000136 |     },
000137 |     {
000138 |       "gaps": [
000139 |         1,
000140 |         2
000141 |       ],
000142 |       "word": 0.0,
000143 |       "formula": 0.0
000144 |     }
000145 |   ]
000146 | }