TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/GEOMETRIC-R-SPIN-COLLAR-REVIEW.txt Original file SHA-256: f41d9aa53c27d8e167ec82e7692f9367d073b287a157869a2a39a30114dfe164 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 | Equation (11) carries BOTH v1=U_phi v0 and w1=-U_phi w0 consistently. 000202 | 000203 | [OMITTED: non-scientific conversation or execution metadata] 000204 | [OMITTED: non-scientific conversation or execution metadata] 000205 | [OMITTED: non-scientific conversation or execution metadata] 000206 | [OMITTED: non-scientific conversation or execution metadata] 000207 | [OMITTED: non-scientific conversation or execution metadata] 000208 | [OMITTED: non-scientific conversation or execution metadata] 000209 | [OMITTED: non-scientific conversation or execution metadata] 000210 | [OMITTED: non-scientific conversation or execution metadata] 000211 | 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]