TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/C58-THOULESS-AND-CAP-REVIEW.txt Original file SHA-256: 8539b8b4a901ae9cac751f299a2753ee06f75c25f95cdb74dc4a17b3b5f2a036 Inclusive original lines: 201-224 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 | or Thouless chart is needed; the cap itself is already unambiguous. This covers 000202 | the full common-Fock cap without declaring a new Gaussian source. 000203 | 000204 | What remains open is narrower and original: exhibit the positive-time 000205 | admissible boundary insertion or limiting sequence whose OS class is this 000206 | already existing cap vector, and verify its reflection/support/domain labels. 000207 | Neither the Shale criterion nor the fixed-domain theorem alone supplies that 000208 | identification. 000209 | 000210 | [OMITTED: non-scientific conversation or execution metadata] 000211 | [OMITTED: non-scientific conversation or execution metadata] 000212 | [OMITTED: non-scientific conversation or execution metadata] 000213 | [OMITTED: non-scientific conversation or execution metadata] 000214 | [OMITTED: non-scientific conversation or execution metadata] 000215 | [OMITTED: non-scientific conversation or execution metadata] 000216 | [OMITTED: non-scientific conversation or execution metadata] 000217 | [OMITTED: non-scientific conversation or execution metadata] 000218 | [OMITTED: non-scientific conversation or execution metadata] 000219 | [OMITTED: non-scientific conversation or execution metadata] 000220 | [OMITTED: non-scientific conversation or execution metadata] 000221 | [OMITTED: non-scientific conversation or execution metadata] 000222 | [OMITTED: non-scientific conversation or execution metadata] 000223 | [OMITTED: non-scientific conversation or execution metadata] 000224 | [OMITTED: non-scientific conversation or execution metadata]