TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WHOLE-COLOR-SELECTION.json Original file SHA-256: 7a81824f45e515b2ef0f7f28280bcff0a174ee1bf888f97e51bdfff0f5fdec36 Inclusive original lines: 1-200 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 | "verdict": "SCOPED_WHOLE_SOURCE_COLOR_SELECTION_AND_RELATIVE_READER", 000003 | "controls": 87, 000004 | "checks": [ 000005 | { 000006 | "name": "original color matrices are not a commuting-only diagnostic", 000007 | "error": 0.0, 000008 | "tolerance": 1e-14 000009 | }, 000010 | { 000011 | "name": "whole original graph projection H0.0 p0.25", 000012 | "error": 5.274472300303948e-16, 000013 | "tolerance": 1e-11 000014 | }, 000015 | { 000016 | "name": "original second-face marginal H0.0 p0.25", 000017 | "error": 4.710277376051325e-16, 000018 | "tolerance": 2e-12 000019 | }, 000020 | { 000021 | "name": "whole joint-to-relative diagonal H0.0 p0.25", 000022 | "error": 3.663981298193433e-15, 000023 | "tolerance": 2e-11 000024 | }, 000025 | { 000026 | "name": "whole diagonal color singlet H0.0 p0.25", 000027 | "error": 2.3316878072466205e-15, 000028 | "tolerance": 2e-11 000029 | }, 000030 | { 000031 | "name": "whole joint-to-relative relative H0.0 p0.25", 000032 | "error": 4.231993008026658e-15, 000033 | "tolerance": 2e-11 000034 | }, 000035 | { 000036 | "name": "whole joint-to-relative oneface H0.0 p0.25", 000037 | "error": 5.551115123125783e-16, 000038 | "tolerance": 2e-11 000039 | }, 000040 | { 000041 | "name": "whole center commutes graph H0.0 p0.25", 000042 | "error": 0.0, 000043 | "tolerance": 1e-11 000044 | }, 000045 | { 000046 | "name": "whole center Slater determinant H0.0 p0.25", 000047 | "error": 8.62284915551946e-15, 000048 | "tolerance": 3e-11 000049 | }, 000050 | { 000051 | "name": "left current variance H0.0 p0.25", 000052 | "error": 2.220446049250313e-16, 000053 | "tolerance": 4e-12 000054 | }, 000055 | { 000056 | "name": "right current variance H0.0 p0.25", 000057 | "error": 5.551115123125783e-16, 000058 | "tolerance": 4e-12 000059 | }, 000060 | { 000061 | "name": "exact opposite-face connected current H0.0 p0.25", 000062 | "error": 1.1102230246251565e-16, 000063 | "tolerance": 4e-12 000064 | }, 000065 | { 000066 | "name": "whole total color has zero variance H0.0 p0.25", 000067 | "error": 1.1102230246251565e-15, 000068 | "tolerance": 5e-12 000069 | }, 000070 | { 000071 | "name": "whole original graph projection H0.0 p-0.75", 000072 | "error": 4.710277411145626e-16, 000073 | "tolerance": 1e-11 000074 | }, 000075 | { 000076 | "name": "original second-face marginal H0.0 p-0.75", 000077 | "error": 0.0, 000078 | "tolerance": 2e-12 000079 | }, 000080 | { 000081 | "name": "whole joint-to-relative diagonal H0.0 p-0.75", 000082 | "error": 5.334271907158537e-16, 000083 | "tolerance": 2e-11 000084 | }, 000085 | { 000086 | "name": "whole diagonal color singlet H0.0 p-0.75", 000087 | "error": 1.800770102587724e-15, 000088 | "tolerance": 2e-11 000089 | }, 000090 | { 000091 | "name": "whole joint-to-relative relative H0.0 p-0.75", 000092 | "error": 6.862251722790485e-16, 000093 | "tolerance": 2e-11 000094 | }, 000095 | { 000096 | "name": "whole joint-to-relative oneface H0.0 p-0.75", 000097 | "error": 0.0, 000098 | "tolerance": 2e-11 000099 | }, 000100 | { 000101 | "name": "whole center commutes graph H0.0 p-0.75", 000102 | "error": 0.0, 000103 | "tolerance": 1e-11 000104 | }, 000105 | { 000106 | "name": "whole center Slater determinant H0.0 p-0.75", 000107 | "error": 8.934708731717963e-15, 000108 | "tolerance": 3e-11 000109 | }, 000110 | { 000111 | "name": "left current variance H0.0 p-0.75", 000112 | "error": 8.515323862701152e-16, 000113 | "tolerance": 4e-12 000114 | }, 000115 | { 000116 | "name": "right current variance H0.0 p-0.75", 000117 | "error": 5.917575457425883e-16, 000118 | "tolerance": 4e-12 000119 | }, 000120 | { 000121 | "name": "exact opposite-face connected current H0.0 p-0.75", 000122 | "error": 4.336808689942018e-19, 000123 | "tolerance": 4e-12 000124 | }, 000125 | { 000126 | "name": "whole total color has zero variance H0.0 p-0.75", 000127 | "error": 1.444157293750692e-15, 000128 | "tolerance": 5e-12 000129 | }, 000130 | { 000131 | "name": "whole original graph projection H0.13 p0.25", 000132 | "error": 3.3793057716217726e-14, 000133 | "tolerance": 1e-11 000134 | }, 000135 | { 000136 | "name": "original second-face marginal H0.13 p0.25", 000137 | "error": 1.5894897207258714e-14, 000138 | "tolerance": 2e-12 000139 | }, 000140 | { 000141 | "name": "whole joint-to-relative diagonal H0.13 p0.25", 000142 | "error": 4.887112307016052e-15, 000143 | "tolerance": 2e-11 000144 | }, 000145 | { 000146 | "name": "whole diagonal color singlet H0.13 p0.25", 000147 | "error": 5.107444346716692e-15, 000148 | "tolerance": 2e-11 000149 | }, 000150 | { 000151 | "name": "whole joint-to-relative relative H0.13 p0.25", 000152 | "error": 4.670889129942887e-15, 000153 | "tolerance": 2e-11 000154 | }, 000155 | { 000156 | "name": "whole joint-to-relative oneface H0.13 p0.25", 000157 | "error": 1.2767765823115991e-15, 000158 | "tolerance": 2e-11 000159 | }, 000160 | { 000161 | "name": "whole center commutes graph H0.13 p0.25", 000162 | "error": 0.0, 000163 | "tolerance": 1e-11 000164 | }, 000165 | { 000166 | "name": "whole center Slater determinant H0.13 p0.25", 000167 | "error": 9.032908393312331e-15, 000168 | "tolerance": 3e-11 000169 | }, 000170 | { 000171 | "name": "left current variance H0.13 p0.25", 000172 | "error": 2.3314683517128287e-15, 000173 | "tolerance": 4e-12 000174 | }, 000175 | { 000176 | "name": "right current variance H0.13 p0.25", 000177 | "error": 1.6653345369377348e-15, 000178 | "tolerance": 4e-12 000179 | }, 000180 | { 000181 | "name": "exact opposite-face connected current H0.13 p0.25", 000182 | "error": 9.992007221626409e-16, 000183 | "tolerance": 4e-12 000184 | }, 000185 | { 000186 | "name": "whole total color has zero variance H0.13 p0.25", 000187 | "error": 5.995204332975845e-15, 000188 | "tolerance": 5e-12 000189 | }, 000190 | { 000191 | "name": "whole original graph projection H0.13 p-0.75", 000192 | "error": 1.204306491775119e-13, 000193 | "tolerance": 1e-11 000194 | }, 000195 | { 000196 | "name": "original second-face marginal H0.13 p-0.75", 000197 | "error": 6.016780390008619e-14, 000198 | "tolerance": 2e-12 000199 | }, 000200 | {