Established in scope
Explicit primary E8 octic completion in the same neutral CAR source
In the question: Common clock sectors, quartic geometry and operational reconstruction
Uniqueness only in declared ansatz. Internal scalar retains conformal weight8 and its geometric weight line. No affine-vacuum invariance,local E8 gauge physics,new source,preparation or novelty claim. Concretely connects the known W(E8) spin8 generator to the native source.
Read the exact result, assumptions and evidence
Result
The simultaneous rational system of actual root zero mode,L1 and L2 has1600 coefficient rows,rank16 and precisely one solution in the17 dimensional ansatz with H8 leading coefficient1. All16 contraction coefficients are explicit;||W8||²=65028096000/43. Weyl invariance transports the root equation to all240 roots;L1 throughL8 vanish. W8 is therefore a horizontal E8 zero-mode-singlet weight8 primary. Its internal subline in the given K-associated VOA bundle is canonically trivial,including class2. It uses only the old neutral CAR currents,derivatives and point-splitting counterterms.
Required assumptions
- Fixed octic completion in the existing current space
In the supplied positive c8 current space,seek W8 only in the declared17 dimensional space:H8=sum_roots(alpha.h_-1)^8-30Q11^4 and the16 weight8 Q_ab monomials. H8 leading coefficient is1;root zero mode and L1=L2 must vanish. This specifies a mathematical existence ansatz,not an extra physical source or preparation rule. Uniqueness beyond this space is not assumed.
- 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 65–99
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-COMPLETION.txt
2a075b2f0fc18c4133175eec20ef9b173fff7b23c3b66ef18c80c8505785f6c1
- QUANTUM-OCTIC-COMPLETION.txt lines 100–138
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-COMPLETION.txt
2a075b2f0fc18c4133175eec20ef9b173fff7b23c3b66ef18c80c8505785f6c1
- QUANTUM-OCTIC-COMPLETION.txt lines 207–241
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-COMPLETION.txt
2a075b2f0fc18c4133175eec20ef9b173fff7b23c3b66ef18c80c8505785f6c1
- check_quantum_octic_completion.py lines 30–106
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/check_quantum_octic_completion.py
fa29425b80c6742e29991c01efdc64ae9bd4728d1ac7ebe7ff06378f9a25a432
- QUANTUM-OCTIC-INDEPENDENT-REVIEW.txt lines 54–166
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-INDEPENDENT-REVIEW.txt
98e65d5a9210a4dd6e193b4a56f4e2fe89a5764c372c5c77aefa600db94a125c
finding:explicit-primary-e8-invariant-octic-completes-same-neutral-car-source