Established in scope
Spinor16 is a state sector, not a 16-real one-particle field
In the question: Which partner actually belongs to the original seam?
Representation types of the supplied free realization; no selection from P1/P2 and no new spinor-CAR replacement.
Read the exact result, assumptions and evidence
Result
D5_1 has ten real vector fermions; S± each contain 16 complex Ramond/spin-field states. Using S+ as an ordinary CAR coefficient would give c=16 and Spin(10) level 4. The documented c=8 connection uses 10+6 real fermions and mixed spin fields of weight 5/8+3/8=1.
Required assumptions
- 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.
- Supplied free D5+A3 realization
Compare the documented free D5_1+A3_1 realization with five plus three complex fermions and spin-field sectors; realization by the raw P1 source is not presumed.
Original evidence
- PROOF.txt lines 189–216
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-conjugation-20261015/PROOF.txt
bbea15f5ebb1dff698f1ecdfd8a18e724089c8fe9880dea684a5f9fd45cb1c8a
finding:joint-spinor-not-source-coefficient