Established in scope
A common global seam-operator factorization exists
In the question: Historical: common source, state and event selection
Global charge transports in the stipulated even completion; not local vertex insertions, an ordinary-local odd CAR/E8 inclusion or event dynamics.
Read the exact result, assumptions and evidence
Result
On the even D8 Fock sector W4=Us Rc holds with the actual ordered CAR/E8 cocycle, Klein signs, all oscillators and current central term; Rc preserves Q,K and the quarter transition. The E8 extension and lift convention are explicitly given.
Required assumptions
- Stipulated even E8 completion with actual Klein signs
Assume the E8 extension of the even D8 CAR sector constructed in seam-joint-ward-state, with original ordered cocycle, retained quarter transition and explicit P-lift convention. An ordinary-local inclusion of odd CAR fields is not assumed.
Original evidence
- PROOF.txt lines 1003–1087
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-ward-state-20261014/PROOF.txt
7c0cd92dfc5eca88260baae0af9edad66f958a27ce0d15d7965414b3971f8da0
finding:even-seam-global-operator-factorization