Established in scope
Old vector/partner algebra cannot supply spinor CAR under same full action
In the question: Original TFPT source versus DET16 mirror vertex
Only full given Spin10 vector/partner action,not universal physical Spin10 requirement. Whole S/Z/charged E8 extension not reduced to this algebra. Even observables/DET16 centrally even,not excluded;no coefficient0 or physical no-go. Distinguish Fock-state phases and field automorphisms.
Read the exact result, assumptions and evidence
Result
Internal2pi central z² fixes original10+6 vector fields/canonical partners,thus every word,C* closure and normal W* hull. Native spinor CAR generators change sign. Equivariant iota forces iota(c)=0,contradicting {c,c*}=1. All word lengths settled,not dimension analogy. Original weight functions give16plus vs16minus exactly.
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.
- Original10+6 vector Majorana field algebra and canonical partner action
Exactly v113 real10+6 vector carrier under Spin10×Spin6 and covariantly equivalent real canonical GNS partner,no extra charged/Ramond/disorder fields. Unital word/C* algebra,normal automorphism for W* closure. Compare full original Spin10 action on field operators,not Fock-state phase. Not a universal physical Spin10 requirement or restriction of complete S/Z source.
Original evidence
- ORIGINAL-MIRROR-EMBEDDING-SEARCH.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-MIRROR-EMBEDDING-SEARCH.txt
e1adc46ef53935c17350a7edb1a423f20b4c210a5579f574152d8724ed7099e8
- ORIGINAL-MIRROR-EMBEDDING-SEARCH.txt lines 181–227
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ORIGINAL-MIRROR-EMBEDDING-SEARCH.txt
e1adc46ef53935c17350a7edb1a423f20b4c210a5579f574152d8724ed7099e8
- R108-REVIEW.txt lines 1–72
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/R108-REVIEW.txt
f7f6978fd5c30471488cc81c80c6a20e210eb4cbbf8faa4747145a14a2c78391
- original-embedding-results.json lines 1–84
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/original-embedding-results.json
bc85da38898470d31b76a99d021b462fd57c43a5cd63492e79efff7625d63353
- v113_quasifree_kernel.py lines 11–38
Source checked at this snapshot
Original location and fingerprint
verification/v113_quasifree_kernel.py
a033fe9c292d22b5bbc343aa0d8e352df14a0918e4124fd7596bf7f81e01ff51
- v113_quasifree_kernel.py lines 150–176
Source checked at this snapshot
Original location and fingerprint
verification/v113_quasifree_kernel.py
a033fe9c292d22b5bbc343aa0d8e352df14a0918e4124fd7596bf7f81e01ff51
- v1002_spin10_mirror_projector.py lines 123–152
Source checked at this snapshot
Original location and fingerprint
verification/v1002_spin10_mirror_projector.py
84f7cd7987887ee071d7e05872285ab274ae329f6bcfa693be69bb52add19a4c
- v1002_spin10_mirror_projector.py lines 624–639
Source checked at this snapshot
Original location and fingerprint
verification/v1002_spin10_mirror_projector.py
84f7cd7987887ee071d7e05872285ab274ae329f6bcfa693be69bb52add19a4c
- PROOF.txt lines 1–175
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/two_face_source_20261029/PROOF.txt
f3f5319b62ba0fe502422ebdfd49e53f6fd08d7a42f84436332c01267e25c5cc
finding:r108-vector-partner-whole-algebra-cannot-supply-equivariant-spinor-car