Established in scope
Geometric six-spin clock differs from the marked native clocks
In the question: Automated construction of operator maps and sources
This is a marked comparison test, not a no-go for outer/Pin or antiunitary transports. The optional q-slot alignment stays a declared premise. Retain determinant twists and actual base/charge transport. Equal clock orders alone do not provide the whole source-family map.
Read the exact result, assumptions and evidence
Result
Actual spin r has characteristic polynomial t6+1, sixth power minus one and geometric C4/C3 factors. Their q/p and family actions differ from marked native kappa and sigma, already at one fixed D5 weight. A linear side exchange in the specified matched carrier needs a D5 chiral flip and inverts central kappa, so it lies outside that fixed K. Coefficient Real and compact JF also have distinct clock relations.
Required assumptions
- Recovered genus2 cover with retained coefficients
Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.
- Unchanged A0* Fuchsian equation and actual C4 clock
Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Actual full v252 gauge lift and original P2 comparison
Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.
- Original oriented exterior carrier
Given E=C5=E3⊕E2, a Hermitian metric, volume orientation, S± and Y=(-1/3)^3⊕(1/2)^2. Internal carrier labels are not physical vacua; geometric seam reflection is not identified with carrier conjugation.
- Alternative chiral comparison of q columns with actual v252 P2 carrier
For this explicitly alternative comparison identify actual G columns(L0,L2,L1) with supplied generation slots through whole signed P2 dictionary. D_E acts on gamma_F positive,barD_E on negative. Retain unchanged full_D with Y and symmetricMR,F5 structure,faces,graph state and given time. Do not silently replace earlier particlewise hypothesis. No P1 selection,global trivialization,new state/time or physicalE8gauge action assumed.
Original evidence
- SPIN-ZERO-MODE-C12-CLOCK-TYPE-REVIEW.txt lines 1–185
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/SPIN-ZERO-MODE-C12-CLOCK-TYPE-REVIEW.txt
5d5f6bfb960f20d004bf5442920e09826fe9f963b5ac888f3f45c3a4a568edbf
- ROOT-MIXED-SPIN-U6-CHECK.json lines 1–36
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-MIXED-SPIN-U6-CHECK.json
156118586394327730bf248cd6dbece42e7af4eec8ff0b1fa82a4f45d2510f36
finding:geometric-six-spin-clock-differs-from-marked-native-clock