TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/LOCAL-SOURCE-MODULAR-TIME.json Original file SHA-256: 48f419a5a233e91bb7a7d246e2dc6e019e323082e9ffb468194525e333a3d9c8 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_LOCAL_TIME_WITNESS_AND_GIVEN_FREE_CAR_READOUT; GEOMETRIC_CURRENT_POINT_FLOW_CLASS_EXCLUDED_AT_ACTUAL_QUARTERS; PHYSICAL_ORIGIN_OPEN", 000003 | "all_passed": true, 000004 | "checks": [ 000005 | { 000006 | "label": "Actual compact autocorrelation has positive first two Fourier coefficients", 000007 | "passed": true 000008 | }, 000009 | { 000010 | "label": "Entire actual smooth probe support lies inside I", 000011 | "passed": true 000012 | }, 000013 | { 000014 | "label": "All evaluated exact-sign summands are negative", 000015 | "passed": true 000016 | }, 000017 | { 000018 | "label": "Certified analytic all-mode tail cannot change the strict local witness sign", 000019 | "passed": true 000020 | }, 000021 | { 000022 | "label": "Direct Fourier transport matches collected covariance derivative within analytic tail", 000023 | "passed": true 000024 | }, 000025 | { 000026 | "label": "Vacuum covariance derivative coefficient cancels identically", 000027 | "passed": true 000028 | }, 000029 | { 000030 | "label": "Quarter particle-hole occupation complement identity", 000031 | "passed": true 000032 | }, 000033 | { 000034 | "label": "Whole geometric-flow class: constant Laurent coefficient", 000035 | "passed": true 000036 | }, 000037 | { 000038 | "label": "Whole geometric-flow class: quadratic Laurent coefficient", 000039 | "passed": true 000040 | }, 000041 | { 000042 | "label": "Whole class integrability coefficient after third-order condition", 000043 | "passed": true 000044 | }, 000045 | { 000046 | "label": "Exact rational all-mode charge and oscillator bound at BOTH original quarters", 000047 | "passed": true 000048 | }, 000049 | { 000050 | "label": "Occupation-log resolvent sign at lambda=0.1", 000051 | "passed": true 000052 | }, 000053 | { 000054 | "label": "Occupation-log resolvent sign at lambda=0.4", 000055 | "passed": true 000056 | }, 000057 | { 000058 | "label": "Occupation-log resolvent sign at lambda=0.8", 000059 | "passed": true 000060 | }, 000061 | { 000062 | "label": "Entire Hardy sea gives exactly1/4 on the normalized interval constant", 000063 | "passed": true 000064 | }, 000065 | { 000066 | "label": "Independent infinite negative-odd sea sum (0, 0)", 000067 | "passed": true 000068 | }, 000069 | { 000070 | "label": "Independent infinite negative-odd sea sum (0, 1)", 000071 | "passed": true 000072 | }, 000073 | { 000074 | "label": "Independent infinite negative-odd sea sum (0, 2)", 000075 | "passed": true 000076 | }, 000077 | { 000078 | "label": "Independent infinite negative-odd sea sum (1, 0)", 000079 | "passed": true 000080 | }, 000081 | { 000082 | "label": "Independent infinite negative-odd sea sum (1, 1)", 000083 | "passed": true 000084 | }, 000085 | { 000086 | "label": "Independent infinite negative-odd sea sum (1, 2)", 000087 | "passed": true 000088 | }, 000089 | { 000090 | "label": "Independent infinite negative-odd sea sum (2, 0)", 000091 | "passed": true 000092 | }, 000093 | { 000094 | "label": "Independent infinite negative-odd sea sum (2, 1)", 000095 | "passed": true 000096 | }, 000097 | { 000098 | "label": "Independent infinite negative-odd sea sum (2, 2)", 000099 | "passed": true 000100 | }, 000101 | { 000102 | "label": "Independent Fock CAR (0, 0)", 000103 | "passed": true 000104 | }, 000105 | { 000106 | "label": "Independent Fock CAR (0, 1)", 000107 | "passed": true 000108 | }, 000109 | { 000110 | "label": "Independent Fock CAR (0, 2)", 000111 | "passed": true 000112 | }, 000113 | { 000114 | "label": "Independent Fock CAR (1, 0)", 000115 | "passed": true 000116 | }, 000117 | { 000118 | "label": "Independent Fock CAR (1, 1)", 000119 | "passed": true 000120 | }, 000121 | { 000122 | "label": "Independent Fock CAR (1, 2)", 000123 | "passed": true 000124 | }, 000125 | { 000126 | "label": "Independent Fock CAR (2, 0)", 000127 | "passed": true 000128 | }, 000129 | { 000130 | "label": "Independent Fock CAR (2, 1)", 000131 | "passed": true 000132 | }, 000133 | { 000134 | "label": "Independent Fock CAR (2, 2)", 000135 | "passed": true 000136 | }, 000137 | { 000138 | "label": "Actual source thermal correction norm tail bound alpha=0.25", 000139 | "passed": true 000140 | }, 000141 | { 000142 | "label": "Actual spatial3mode CAR restriction is faithful alpha=0.25", 000143 | "passed": true 000144 | }, 000145 | { 000146 | "label": "Original source two-point vs independent finite density ('0.25', 0, 0)", 000147 | "passed": true 000148 | }, 000149 | { 000150 | "label": "Original source two-point vs independent finite density ('0.25', 0, 1)", 000151 | "passed": true 000152 | }, 000153 | { 000154 | "label": "Original source two-point vs independent finite density ('0.25', 0, 2)", 000155 | "passed": true 000156 | }, 000157 | { 000158 | "label": "Original source two-point vs independent finite density ('0.25', 1, 0)", 000159 | "passed": true 000160 | }, 000161 | { 000162 | "label": "Original source two-point vs independent finite density ('0.25', 1, 1)", 000163 | "passed": true 000164 | }, 000165 | { 000166 | "label": "Original source two-point vs independent finite density ('0.25', 1, 2)", 000167 | "passed": true 000168 | }, 000169 | { 000170 | "label": "Original source two-point vs independent finite density ('0.25', 2, 0)", 000171 | "passed": true 000172 | }, 000173 | { 000174 | "label": "Original source two-point vs independent finite density ('0.25', 2, 1)", 000175 | "passed": true 000176 | }, 000177 | { 000178 | "label": "Original source two-point vs independent finite density ('0.25', 2, 2)", 000179 | "passed": true 000180 | }, 000181 | { 000182 | "label": "Actual supported four-field word from full sea covariance alpha=0.25", 000183 | "passed": true 000184 | }, 000185 | { 000186 | "label": "Whole supported two-number-unitary word alpha=0.25", 000187 | "passed": true 000188 | }, 000189 | { 000190 | "label": "Actual finite-subalgebra modular action preserves source state alpha=0.25", 000191 | "passed": true 000192 | }, 000193 | { 000194 | "label": "Canonical modular sign with antilinear annihilation alpha=0.25 j=0", 000195 | "passed": true 000196 | }, 000197 | { 000198 | "label": "Canonical modular sign with antilinear annihilation alpha=0.25 j=1", 000199 | "passed": true 000200 | },