TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QP-PULLBACK-F5-OPERATOR-REVIEW.txt Original file SHA-256: 85f5d6a0f9975b09ef31b9f68d2b4304b8aad1767775ce9c039565e0a26d33c7 Inclusive original lines: 181-215 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. 000181 | E0/C_raw map would require an additional explicit intertwiner equating these 000182 | finite factors, base maps and coefficient targets. None is present in the 000183 | reviewed source. They are distinct covariances with a shared normal Clifford 000184 | matrix, not one operator written in two frames. 000185 | 000186 | FINAL SCOPE 000187 | 000188 | The algebraic bridge requested in the preceding CAR/U6 review is positive at 000189 | the whole F5 operator level: a q-to-p pullback can carry the full finite 000190 | coefficient, E chart, selfdual structure, two-face graph state and actual 000191 | circle evolution without embedding q and p as six independent modes in one 000192 | fixed 96-space. 000193 | 000194 | What remains is the original source identification: the geometric spinframe 000195 | pullback must be shown to induce this exact R_x on the given charged domain, 000196 | and the target tuple (A_p,Phi_p,U_p) must be located as an already supplied 000197 | source-family member. The present covariance does not create that p source, 000198 | choose it as P1, or turn quarter holonomy into a fixed mark. 000199 | 000200 | Sources reviewed 000201 | 000202 | [OMITTED: non-scientific conversation or execution metadata] 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 | [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]