Established in scope
Compact E8 adjoint completes family six with D5 carrier retained
In the question: Automated construction of operator maps and sources
Corrects both the universal O gate and the first overstrong full60 reading of family-only Hodge. Retain valid adjoint/SU4 identities. Does not identify geometric mu with complete spinor inputs or a finite Phi block; no physical scalar or whole-origin promotion. The separate D8 finding decides the entire restricted recursive class.
Read the exact result, assumptions and evidence
Result
Actual compact adjoint induces canonical anti-linear Hodge reality on the family six and is native-quarter/SU4 covariant. No universal extra O-fermion input is required for real family completion. Dagger simultaneously reverses the D5 vector weight: restricted C/X|F gives15 complex and30 compact real directions, while full16xF inputs supply30 complex and all60 compact real directions. The missing carrier half comes from10xbar5, not family Hodge or10x10 alone.
Required assumptions
- 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.
- Given original C/X current source with E8 cocycle and compact adjoint
Use the actual supplied level-one E8 current source C in1x4 and X inbar5x4, original cocycle and compact adjoints. The expressly restricted initial seed keeps only family labels1,2,3. Check current Lie words without presupposing geometric q/p access, a finite Phi coefficient or physical P1 source selection.
- Supplied split carrier with actual q sign lines on genus-two cover
Given existing split carrier E3⊕E2 with unitary split connection onX and actual unitary flat q linesL0,L1,L2 on old coverC:w³=(z²−1)/(z²+1),η²=1−w⁶,product1 andπ*Fv117=L0⊕L1⊕L2. Pull these data toX×C and combine with declared alignment to mA slots. This does not selectX,E,mA or alignment as original P1 quantum source.
Original evidence
- COMPACT-REAL-SIX-ADJOINT-CLOSURE-ADDENDUM.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/COMPACT-REAL-SIX-ADJOINT-CLOSURE-ADDENDUM.txt
ff97948f5aed5786feb29ee665a092e25b6262d2cf9977536ec96bf723250147
- COMPACT-REAL-SIX-ADJOINT-CLOSURE-ADDENDUM.txt lines 201–283
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/COMPACT-REAL-SIX-ADJOINT-CLOSURE-ADDENDUM.txt
ff97948f5aed5786feb29ee665a092e25b6262d2cf9977536ec96bf723250147
- CARRIER-HODGE-SPAN-CORRECTION.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CARRIER-HODGE-SPAN-CORRECTION.txt
9752d2b4b96b248dbb9a08e8403d85fdb07b54eacdb86d32a25114d0a759d22e
- CARRIER-HODGE-SPAN-CORRECTION.txt lines 201–226
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CARRIER-HODGE-SPAN-CORRECTION.txt
9752d2b4b96b248dbb9a08e8403d85fdb07b54eacdb86d32a25114d0a759d22e
- COMPACT-REAL-CARRIER-ROOT-REVIEW.txt lines 1–76
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/COMPACT-REAL-CARRIER-ROOT-REVIEW.txt
4f1150737fa52eb4ca1bf9d88ec2af7ac3ecda104e87da3dcff9edc0caef21fb
- ROOT-CARRIER-HODGE-SPAN-CHECK.json lines 1–13
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-CARRIER-HODGE-SPAN-CHECK.json
b6c5dd9dd14f0eaba14d0b317935b54a58e9cd8744296b59f5b0a2f1c6fe29e5
finding:compact-e8-adjoint-completes-family-six-with-carrier-rank-retained