TFPT scientific source excerpt Original repository path: experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/REVIEW.txt Original file SHA-256: 3e103349852b57a7e53af3148986ab0d9418a073b89b9d94d9168877d377bc88 Inclusive original lines: 201-217 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. 000201 | 000202 | There is one local wording error outside the reconstruction proof. Section 8 000203 | says that C*(u) supplies ordinary arc projections. Since 000204 | 000205 | C*(u) is isomorphic to C(S1) 000206 | 000207 | and S1 is connected, C*(u) has no nontrivial characteristic projections of 000208 | proper arcs. Continuous functions supported inside an arc do belong to 000209 | C*(u), while the Borel spectral projections 1_I(u) belong to the von Neumann 000210 | algebra W*(u). Replacing "C*(u) ... arc projections" by this distinction fixes 000211 | the statement. It does not affect equations (1)--(12), the complete-H result, 000212 | or the seam-line reconstruction. 000213 | 000214 | Final stored-file verdict: PASS for the operator reconstruction, with the one 000215 | C* versus W* localization wording correction just stated. The original TFPT 000216 | application remains conditional exactly at the same-pair covariance and 000217 | index identification.