Scoped exclusion
Known NS vector fermionization cannot supply the missing Spin10 spinor through local products
In the question: Automated construction of operator maps and sources
Reused representation result with analytic extension to the unchanged NS generator algebra, not new fermionization. No exclusion of Ramond/twisted states, charged sector intertwiners, dressed fields with additional source, other extensions or a universal TFPT model.
Read the exact result, assumptions and evidence
Result
The existing fermionization route supplies (10,1)+(1,6), as established previously. The central kernel element of Spin10->SO10 acts trivially on each local generator but as minus1 on the required internal half-spinor. Products, derivatives, OPE coefficients and algebraic/norm/weak closures in the same NS representation therefore remain centrally trivial. Choosing V_a coefficients or searching further local composites in this unchanged algebra cannot repair the matter identification.
Required assumptions
- Unchanged local NS fermionization with fixed D5 group action
The existing conditional D8->Z^8 fermionization of the selected E8_1 theory and its nonanomalous Z2 with spin/twist data is supplied. Its16 real local NS generators carry (10,1)+(1,6) under the fixed Spin10 x Spin6 cut. Consider their generated algebra in the same NS representation, without adjoining Ramond/twist intertwiners, field/crossed-product extensions or changed group action. No physical3+1D identification is presumed.
- 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
- P1-COVARIANT-INSERTION.txt lines 147–213
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-collar-multifield-20261016/P1-COVARIANT-INSERTION.txt
ebb9e0cb15cdc017914d8567131c8d8b75855f20e05551b6f7b350989061e152
- PROOF.txt lines 157–206
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/source-z8-parity-descent-20260921/PROOF.txt
4c5ade4da333abb5fd528a02bc3e95158a7b40eaa7c89d7200b77768810320d9
- PROOF.txt lines 176–205
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/source-sector-reconstruction-20260920/PROOF.txt
a5796f90f4fa079badc5a07c451f1ea1028fcff3f258ac3f6992c6ae8d65d7d6
finding:unchanged-ns-vector-generators-cannot-create-d5-spinor-fields