Established in scope
Original positive hexagon kernel supplies no oriented phase readout
In the question: Automated construction of operator maps and sources
Scopedexplicitbarekernel/fixedPstr/positiveconsumer,nouniversalphaseveto. GivenSeedstate/timealreadyexist;typedinsertionsaremissingbeforeevaluation. Originalcoherentopenlegorbroaderconnectionallowed. AlgebraicrhocharacterisnotmeasuredCPphase. Actual G-metric P/Q-to-U6 path is now positively closed; no further free metric choice. Fullspine/Pstr/original insertion remain distinct.
Read the exact result, assumptions and evidence
Result
Actual originalchain usesU6,Dy=yI-deltaU6 andfixedcompressionpositiveKstr. ExactDdaggerDdependsonU6+U6daggerandisorientationeven. UnsquaredresolventhasorientedFourierpowersbutdisplayed36sitematrixelementsarerealpolynomials. UnspecifiedVadmdoesnotderiveorientedresponse. v561suppliesrho;4rho/P2/V5arescalardiagnostics,notE8adjointtrace/sourceoperator. Actualv252/F5callhasnoC6representationororientedinsertion. Existingcommon-rayphaseblindnessanddistinctrelative-sourcequadraturesretained. Clarification30Oct: original A=D_fPstr,H=A†A,Kstr=H^-1/2 is fixed Gram normalization. PolarV=AK is isometric, but originalY uses HolK, not HolV. K as coupling coefficient need not be a CAR field isometry. BareU6=1 norm countertest excludes only that misidentification. K has an exact cubic cosine expression and fixedPstr variation δY=(δHol)K+HolδK with resolvent derivative; actualδD/δHol and endpoint variations must come from source.
Required assumptions
- Original hard-holonomy contract with pure closed-triangle trace
Read original45 flavor sources defineY from canonical minimal paths of a Hermitian family connection andPi_triangle=Hol12Hol23Hol31 as ordered closed holonomy,delta=argtrace. DisplayedPi includes neitherKstr nor extraZ6operator. Nonreal asymptotic is a readout contract to test,not completed physical derivation. Active source retains absolute wall selector;no automatic physicalconnection=v117.
- 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.
- 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.
Original evidence
- ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt lines 499–662
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt
58933c7051e1b008adecf553a607a93be768e0bbcfec17c6a50428a190f0982b
- C6-GRAM-PRODUCER-AND-ORIGINAL-SOURCE-RESPONSE.txt lines 1–164
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/C6-GRAM-PRODUCER-AND-ORIGINAL-SOURCE-RESPONSE.txt
fd2d986c0622e7d4249fcfde2ae0f100b7fabb4edcb9f48a4ebb67b0c247f56b
- ROOT-C6-KO-CANDIDATE-REVIEW.txt lines 1–70
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-C6-KO-CANDIDATE-REVIEW.txt
f691ed00544966a616cebfa260517a6a464ef7d68bc805f4e1ca6a0122e84a03
finding:original-z6-positive-structural-kernel-does-not-supply-oriented-phase-observable