Scoped exclusion
The bare native octic is not a whole E8 zero-mode singlet
In the question: Common clock sectors, quartic geometry and operational reconstruction
Excludes only bare full E8 invariance. Old F8 existence,correlations and stress responses remain proved;no unproved physical E8 gauge symmetry is imposed.
Read the exact result, assumptions and evidence
Result
For every E8 root,I8(alpha_+)=1. Its actual root zero-mode action on F8hat has nonzero PBW partition(7) coefficient alpha(-7)e^alpha/(672sqrt140). Thus the valid old neutral CAR field F8hat is not itself an E8 zero-mode singlet. Classical invariant-theoretic extension and this bare operator polynomial cannot be identified.
Required assumptions
- Full existing local E8 field algebra with observer five-code
Accepted field-algebra scope: In accepted original E8_1 lattice vacuum use all existing Cartan/root currents, normal products, derivatives and local smooth smearings; native five-code is input/observer slice, not assumed dynamically closed. Retain all exterior charges/modes and both actual twenties. P,Q only decompose analytic endpoint/memory formulas, never execute intermediate projection. Global mode products of local fields are not localized instruments. PhysicalP1 pullback, intervention history, state/time stay separate. Intrinsic tensor/real-form/simplex reconstruction is not a postulated physical potential/state rule.
- Original quarter CAR source with fixed fold and current dictionary
The already supplied single-channel CAR source with actual quarter domains alpha=1/4,3/4, negative-D sea, positive original excitation time, unitary eightfold F and actual channel diagonalization is fixed. M,O,U+ and the conformal NS point-splitting reference are the same original dictionary data; the single delta counterterm follows from the kernel difference. Even CAR current composites retain full arc correlations, charges, domains, all modes, original time and the existing subtraction prescription including finite derivative counterterms. No E8 root/spinor extension is assumed for this neutral current subalgebra. Identity with the original P1 net, Theta, collar and reference sector is not supplied. Real profiles and pulse strengths are intervention data.
- 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
- QUANTUM-OCTIC-COMPLETION.txt lines 38–64
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-COMPLETION.txt
2a075b2f0fc18c4133175eec20ef9b173fff7b23c3b66ef18c80c8505785f6c1
- QUANTUM-OCTIC-INDEPENDENT-REVIEW.txt lines 24–108
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-INDEPENDENT-REVIEW.txt
98e65d5a9210a4dd6e193b4a56f4e2fe89a5764c372c5c77aefa600db94a125c
finding:bare-native-octic-is-not-whole-e8-zero-mode-singlet