TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/SPIN2-ANNULUS-WHOLE-SOURCE-REVIEW.txt
Original file SHA-256: 7f6b63b83be1e440fb870885f17a54aea799084be96c7b784d6f7c30774354f7
Inclusive original lines: 201-249
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 | with the actual endpoint spin factors included. A variable frame also
000202 | produces its pulled back connection terms. At the Fuchs corners, the closed
000203 | domain and selected reference must be transported explicitly. Equations
000204 | (7) and (18) on a smooth product collar do not prove those corner statements.
000205 | 
000206 | 6. TARGETED ACTUAL96 REPLAY
000207 | 
000208 | A bounded independent replay imported the actual v252 full_D, grading,
000209 | Kswap, J_F and representation. It used generic distinct complex Yukawa
000210 | matrices, a generic complex symmetric Majorana matrix and a generic even
000211 | Hermitian A_q. All algebraic residuals were zero for:
000212 | 
000213 |   full_D selfadjointness and oddness;
000214 |   Theta_spin squared equals -I;
000215 |   preservation of Gamma and Ical;
000216 |   reversal of C0 and the radial N coefficient;
000217 |   whole D covariance and B_q to -B_p;
000218 |   W E=E T and T h_q T^-1=-h_p;
000219 |   preservation of C_faces after face exchange;
000220 |   commutation of T with the actual finite representation and J_F.
000221 | 
000222 | The complete 384 dimensional graph residual was 4.44e-14. The circle
000223 | generator residual for the minus time identity was zero. These numerical
000224 | controls supplement the exact matrix proof; they do not add a source state
000225 | or a domain premise.
000226 | 
000227 | FINAL SCOPE
000228 | 
000229 | The pure normal Spin(2) lift supplies a conditional whole source map from
000230 | the given q datum to its natural p pullback. It carries the complete finite
000231 | coefficient without conjugating it, preserves the marked finite algebra,
000232 | preserves the oriented CAR real structure after the necessary face swap,
000233 | and reverses the existing circle parameter.
000234 | 
000235 | This resolves the local smooth annulus operator, graph and CAR question.
000236 | The remaining original question is whether the actual global spinframe,
000237 | quarter clutch, Fuchs corner domain and reference implement this precise
000238 | P_r R_x lift. No independently selected p background is needed to pose or
000239 | test that question, and no physical P1 execution follows from the local
000240 | covariance alone.
000241 | 
000242 | Sources reviewed
000243 | 
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