Established in scope
Existing microscopic CAR theorem closes the neutral octic Ward interface
In the question: Common clock sectors, quartic geometry and operational reconstruction
Fixed original QWZ regulator and fold dictionary; no eight new source copies or E8 spinor field required. N≥4096 contains the whole E≤64 comparison sector. No pure preparation, P1 image or 3+1D derivation. Historical suite with stale pin is not reported passed.
Read the exact result, assumptions and evidence
Result
The original QWZ field/state/time theorem composes with the unitary fold of that same channel and fixed A=U+^T O^T M. Direct CAR gives KΩ=Σδ_k h_(k,-1)Ω and [K,h_(k,-n)]=n h_(k,-n-1), K=Lcal_-8/8. The neutral source-energy64 amplitude is sqrt35(16250979+56071008i)/128≠0.
Required assumptions
- Existing microscopic one-channel CAR theorem
Use the original width8/mass1/r1 QWZ strip, its negative spectral projector and filled state, its positive relative excitation Hamiltonian, actual local top-edge CAR fields and the proved field/adjoint/charge/time limit. Full orientation transport identifies this source with negative sea alpha1/4. Its identification with P1 is not supplied.
- 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.
Original evidence
- toe_research_20260909.tex lines 16–96
Source checked at this snapshot
Original location and fingerprint
tex-artefacts/toe_research_20260909.tex
361c3843779f78c66ff7e19b610152f38d5dc4f6623ed9017c9d515f1dc94433
- ORIGINAL-CAR-WARD-IDENTIFICATION.txt lines 1–136
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/ORIGINAL-CAR-WARD-IDENTIFICATION.txt
c4ac90ce9f44039ebcf16c289e1b8d2ef661fafa266a8d5e42678b4ed60f8ed0
- composition-results.json lines 1–70
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/composition-results.json
3c56419ddca5991d1be5b5c246fba45ac9878cac92744e8b587c95e1a86e448c
- microscopic_octic_composition.py lines 1–166
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/microscopic_octic_composition.py
83fc8bb552b6118645b9f38a812dffced5278b6815f916115c7c8b2983ad47ca
finding:paper-microscopic-car-composes-with-native-octic-ward