TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/WHOLE-CIRCLE-HIGGS-MEASURE.json Original file SHA-256: 2d77749d0b7d952baeac5d27855496e8b78f22f08777ae8fb0ffe193b4fb356b Inclusive original lines: 1-176 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 | "all_passed": true, 000003 | "checks": { 000004 | "whole96_phi_selfadjoint_0": true, 000005 | "whole96_odd_grading_0": true, 000006 | "actual_whole_square_0_0.25_1": true, 000007 | "exact_trace_factorization_0_0.25_1": true, 000008 | "whole_uniform_heat_bound_0_0.25_1": true, 000009 | "whole_uniform_Poisson_bound_0_0.25_1": true, 000010 | "actual_whole_square_0_0.25_4": true, 000011 | "exact_trace_factorization_0_0.25_4": true, 000012 | "whole_uniform_heat_bound_0_0.25_4": true, 000013 | "whole_uniform_Poisson_bound_0_0.25_4": true, 000014 | "actual_whole_square_0_0.75_1": true, 000015 | "exact_trace_factorization_0_0.75_1": true, 000016 | "whole_uniform_heat_bound_0_0.75_1": true, 000017 | "whole_uniform_Poisson_bound_0_0.75_1": true, 000018 | "actual_whole_square_0_0.75_4": true, 000019 | "exact_trace_factorization_0_0.75_4": true, 000020 | "whole_uniform_heat_bound_0_0.75_4": true, 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"whole96_phi_selfadjoint_2": true, 000041 | "whole96_odd_grading_2": true, 000042 | "actual_whole_square_2_0.25_1": true, 000043 | "exact_trace_factorization_2_0.25_1": true, 000044 | "whole_uniform_heat_bound_2_0.25_1": true, 000045 | "whole_uniform_Poisson_bound_2_0.25_1": true, 000046 | "actual_whole_square_2_0.25_4": true, 000047 | "exact_trace_factorization_2_0.25_4": true, 000048 | "whole_uniform_heat_bound_2_0.25_4": true, 000049 | "whole_uniform_Poisson_bound_2_0.25_4": true, 000050 | "actual_whole_square_2_0.75_1": true, 000051 | "exact_trace_factorization_2_0.75_1": true, 000052 | "whole_uniform_heat_bound_2_0.75_1": true, 000053 | "whole_uniform_Poisson_bound_2_0.75_1": true, 000054 | "actual_whole_square_2_0.75_4": true, 000055 | "exact_trace_factorization_2_0.75_4": true, 000056 | "whole_uniform_heat_bound_2_0.75_4": true, 000057 | "whole_uniform_Poisson_bound_2_0.75_4": true, 000058 | "infinite_Poisson_partial_plus_exact_tails": true, 000059 | "quarter_conjugate_baseline_equal": true, 000060 | "uniform_joint_IR_bound_vanishes": true, 000061 | "exact_odd_Hermitian_square_countercheck": true 000062 | }, 000063 | "details": { 000064 | "constructor_controls": [ 000065 | { 000066 | "H": "(0j, 0j)", 000067 | "alpha": 0.25, 000068 | "N": 1, 000069 | "heat": 158.36548319374452, 000070 | "heat_bound": 170.15556968692954, 000071 | "even_Poisson": 142.4914111588865, 000072 | "Poisson_bound": 190.01448783849602 000073 | }, 000074 | { 000075 | "H": "(0j, 0j)", 000076 | "alpha": 0.25, 000077 | "N": 4, 000078 | "heat": 163.3083095727835, 000079 | "heat_bound": 170.15556968692954, 000080 | "even_Poisson": 181.771068213087, 000081 | "Poisson_bound": 190.01448783849602 000082 | }, 000083 | { 000084 | "H": "(0j, 0j)", 000085 | "alpha": 0.75, 000086 | "N": 1, 000087 | "heat": 143.3618485363595, 000088 | "heat_bound": 170.15556968692954, 000089 | "even_Poisson": 132.02252448538172, 000090 | "Poisson_bound": 190.01448783849602 000091 | }, 000092 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| "Poisson_bound": 190.01448783849602 000127 | }, 000128 | { 000129 | "H": "(0.6j, (0.8+0j))", 000130 | "alpha": 0.75, 000131 | "N": 4, 000132 | "heat": 52.05682920215579, 000133 | "heat_bound": 170.15556968692954, 000134 | "even_Poisson": 88.61835710983448, 000135 | "Poisson_bound": 190.01448783849602 000136 | }, 000137 | { 000138 | "H": "((1+2j), (3-1j))", 000139 | "alpha": 0.25, 000140 | "N": 1, 000141 | "heat": 19.14009254403653, 000142 | "heat_bound": 170.15556968692954, 000143 | "even_Poisson": 23.64760665937934, 000144 | "Poisson_bound": 190.01448783849602 000145 | }, 000146 | { 000147 | "H": "((1+2j), (3-1j))", 000148 | "alpha": 0.25, 000149 | "N": 4, 000150 | "heat": 19.73748379632204, 000151 | "heat_bound": 170.15556968692954, 000152 | "even_Poisson": 32.94415462026256, 000153 | "Poisson_bound": 190.01448783849602 000154 | }, 000155 | { 000156 | "H": "((1+2j), (3-1j))", 000157 | "alpha": 0.75, 000158 | "N": 1, 000159 | "heat": 17.326749446488325, 000160 | "heat_bound": 170.15556968692954, 000161 | "even_Poisson": 21.81165397016406, 000162 | "Poisson_bound": 190.01448783849602 000163 | }, 000164 | { 000165 | "H": "((1+2j), (3-1j))", 000166 | "alpha": 0.75, 000167 | "N": 4, 000168 | "heat": 19.737483638771028, 000169 | "heat_bound": 170.15556968692954, 000170 | "even_Poisson": 32.80489339130923, 000171 | "Poisson_bound": 190.01448783849602 000172 | } 000173 | ] 000174 | }, 000175 | "scope": "Whole original constant quarter-circle and already given compact product only;uniform positive Laplace trace-class baseline;no actual Higgs measure selected,no general variable-field/fermion joint-limit/no-go claim,no new Lean" 000176 | }