TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QUARTER-TOWER-HIGGS-INVERSE.json Original file SHA-256: f5e606f849a47a329b46bc1eb624ea058eb40ac1205562e76b839bc14ca47524 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": "EXACT_SCOPED_WHOLE_QUARTER_TOWER_RADIAL_IDENTIFIABILITY; PHYSICAL_SOURCE_VALUES_OPEN", 000003 | "all_passed": true, 000004 | "control_count": 129, 000005 | "checks": [ 000006 | { 000007 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 0, (0j, 0j))", 000008 | "passed": true 000009 | }, 000010 | { 000011 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 0, (0.6j, (0.8+0j)))", 000012 | "passed": true 000013 | }, 000014 | { 000015 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 0, (0j, (2+0j)))", 000016 | "passed": true 000017 | }, 000018 | { 000019 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 1, (0j, 0j))", 000020 | "passed": true 000021 | }, 000022 | { 000023 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 1, (0.6j, (0.8+0j)))", 000024 | "passed": true 000025 | }, 000026 | { 000027 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 1, (0j, (2+0j)))", 000028 | "passed": true 000029 | }, 000030 | { 000031 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 3, (0j, 0j))", 000032 | "passed": true 000033 | }, 000034 | { 000035 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 3, (0.6j, (0.8+0j)))", 000036 | "passed": true 000037 | }, 000038 | { 000039 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.25, 3, (0j, (2+0j)))", 000040 | "passed": true 000041 | }, 000042 | { 000043 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 0, (0j, 0j))", 000044 | "passed": true 000045 | }, 000046 | { 000047 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 0, (0.6j, (0.8+0j)))", 000048 | "passed": true 000049 | }, 000050 | { 000051 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 0, (0j, (2+0j)))", 000052 | "passed": true 000053 | }, 000054 | { 000055 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 1, (0j, 0j))", 000056 | "passed": true 000057 | }, 000058 | { 000059 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 1, (0.6j, (0.8+0j)))", 000060 | "passed": true 000061 | }, 000062 | { 000063 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 1, (0j, (2+0j)))", 000064 | "passed": true 000065 | }, 000066 | { 000067 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 3, (0j, 0j))", 000068 | "passed": true 000069 | }, 000070 | { 000071 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 3, (0.6j, (0.8+0j)))", 000072 | "passed": true 000073 | }, 000074 | { 000075 | "label": "Unchanged original96 same fixed rightvector whole mode block (0.75, 3, (0j, (2+0j)))", 000076 | "passed": true 000077 | }, 000078 | { 000079 | "label": "Actual elliptic quarter normalization and right complement 0.25", 000080 | "passed": true 000081 | }, 000082 | { 000083 | "label": "Actual elliptic quarter normalization and right complement 0.75", 000084 | "passed": true 000085 | }, 000086 | { 000087 | "label": "Exact positive-real Pick Gram identity", 000088 | "passed": true 000089 | }, 000090 | { 000091 | "label": "Exact RHP real part of every original thermal resolvent", 000092 | "passed": true 000093 | }, 000094 | { 000095 | "label": "Original tanh partial fractions retain bounded positive tail (mpf('0.25'), 0)", 000096 | "passed": true 000097 | }, 000098 | { 000099 | "label": "Original tanh partial fractions retain bounded positive tail (mpf('0.75'), 2)", 000100 | "passed": true 000101 | }, 000102 | { 000103 | "label": "Original tanh partial fractions retain bounded positive tail (mpf('3.25'), mpf('1000000.0'))", 000104 | "passed": true 000105 | }, 000106 | { 000107 | "label": "Actual analytic response stays positive-real (mpc(real='0.0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007', imag='2.5'), 0)", 000108 | "passed": true 000109 | }, 000110 | { 000111 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='0.0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007', imag='2.5'), 0)", 000112 | "passed": true 000113 | }, 000114 | { 000115 | "label": "Actual analytic response stays positive-real (mpc(real='0.0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007', imag='2.5'), mpf('0.5'))", 000116 | "passed": true 000117 | }, 000118 | { 000119 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='0.0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007', imag='2.5'), mpf('0.5'))", 000120 | "passed": true 000121 | }, 000122 | { 000123 | "label": "Actual analytic response stays positive-real (mpc(real='0.0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007', imag='2.5'), mpf('100000000.0'))", 000124 | "passed": true 000125 | }, 000126 | { 000127 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='0.0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007', imag='2.5'), mpf('100000000.0'))", 000128 | "passed": true 000129 | }, 000130 | { 000131 | "label": "Actual analytic response stays positive-real (mpc(real='0.700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000019', imag='-4.20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031'), 0)", 000132 | "passed": true 000133 | }, 000134 | { 000135 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='0.700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000019', imag='-4.20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031'), 0)", 000136 | "passed": true 000137 | }, 000138 | { 000139 | "label": "Actual analytic response stays positive-real (mpc(real='0.700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000019', imag='-4.20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031'), mpf('0.5'))", 000140 | "passed": true 000141 | }, 000142 | { 000143 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='0.700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000019', imag='-4.20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031'), mpf('0.5'))", 000144 | "passed": true 000145 | }, 000146 | { 000147 | "label": "Actual analytic response stays positive-real (mpc(real='0.700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000019', imag='-4.20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031'), mpf('100000000.0'))", 000148 | "passed": true 000149 | }, 000150 | { 000151 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='0.700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000019', imag='-4.20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031'), mpf('100000000.0'))", 000152 | "passed": true 000153 | }, 000154 | { 000155 | "label": "Actual analytic response stays positive-real (mpc(real='3.0', imag='1.0'), 0)", 000156 | "passed": true 000157 | }, 000158 | { 000159 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='3.0', imag='1.0'), 0)", 000160 | "passed": true 000161 | }, 000162 | { 000163 | "label": "Actual analytic response stays positive-real (mpc(real='3.0', imag='1.0'), mpf('0.5'))", 000164 | "passed": true 000165 | }, 000166 | { 000167 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='3.0', imag='1.0'), mpf('0.5'))", 000168 | "passed": true 000169 | }, 000170 | { 000171 | "label": "Actual analytic response stays positive-real (mpc(real='3.0', imag='1.0'), mpf('100000000.0'))", 000172 | "passed": true 000173 | }, 000174 | { 000175 | "label": "Uniform Harnack-Schwarz bound on original conditional function (mpc(real='3.0', imag='1.0'), mpf('100000000.0'))", 000176 | "passed": true 000177 | }, 000178 | { 000179 | "label": "Exact occupation readout is 1/(1-Schur), not raw Cayley output", 000180 | "passed": true 000181 | }, 000182 | { 000183 | "label": "Exact occupation derivative gives nonexpansive constant1 on actual negative Schur range", 000184 | "passed": true 000185 | }, 000186 | { 000187 | "label": "Exact single-quarter finite Blaschke factors N=1", 000188 | "passed": true 000189 | }, 000190 | { 000191 | "label": "Exact shared two-quarter occupation ambiguity N=1", 000192 | "passed": true 000193 | }, 000194 | { 000195 | "label": "Exact single-quarter finite Blaschke factors N=2", 000196 | "passed": true 000197 | }, 000198 | { 000199 | "label": "Exact shared two-quarter occupation ambiguity N=2", 000200 | "passed": true