Established in scope
A matching E8 marking is not yet an elementary P2 carrier
In the question: Historical: common source, state and event selection
Exact field-type comparison in the same given source. No universal exclusion of E8 or future source/sector extensions.
Read the exact result, assumptions and evidence
Result
Each of the four candidates acts on the eight original complex fields with two copies of every quarter phase. Their neutral bilinears form A3+4A1 with twenty roots and rank seven, rather than D5+A3 with fifty-two roots. The latter uses the stipulated spinor completion. The new marking changes neither K nor the known ground-state comparison and supplies no event instrument.
Required assumptions
- Fully normalized time/charge family in the given E8 completion
The given chiral quarter source, its eightfold pushforward and stipulated even E8 completion supply K_alpha and the full additive U1 generator Q. Only characters in the real span of their torus vectors modulo E8 are searched; no P5 is supplied as a search variable or target projector. Physical identification of this completion and of a composed marking is not assumed.
- Stipulated E8 quarter-fold dictionary
The existing Weyl lift M, affine E8 module, Q'=2(H3+H6) and K_alpha=L0+delta_alpha.H0 with alpha=1/4,3/4 are held fixed for comparison. This representation is not derived from P1/P2; an unbroken SM time action is not assumed.
- Given chiral source in both quarter domains
D_alpha=-i∂theta on f(theta+2pi)=exp(2pi i alpha)f(theta), filled negative spectrum and relative particle/hole excitation time; alpha=1/4,3/4. This compares two conjugate domains, not opposite charges in one fixed domain or all P1 sources.
Original evidence
- PROOF.txt lines 146–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-source-character-search-20261015/PROOF.txt
b0c7f7a36eb394c9aa44babac821221201c4baa5640d6acb11669a7b94b281d9
finding:source-marking-field-realization-boundary