Established in scope
Complete CAR kernel also determines the interacting link action
In the question: Automated construction of operator maps and sources
Standard coherent reconstruction, implemented and applied exactly here;1–5 modes. No P1/P2-selected field dictionary, geometric locality or original Φ-dependence. The minimum's term is an objective artifact. T00, reference eigenvalue, matrix logarithm and Grassmann logarithm remain distinct.
Read the exact result, assumptions and evidence
Result
The full coherent CAR kernel is invertible and sews exactly. Its4^n duality values determine finite gluing; T00·exp(-S_nil) reconstructs all link vertices. Existing five-mode certificates give actions through degree10. The charged interacting control retains actual quarter time and absolute sea factors.
Required assumptions
- Complete kernel in a fixed CAR dictionary
Given: full even T in a fixed labeled finite CAR Fock basis and explicit boundary/trace condition. Link logarithm needs T00≠0; finite selfadjoint matrix logarithm needs T>0. Physical identification, length and original Φ-dependence are not presumed derived from P1/P2.
Original evidence
- PROOF.txt lines 571–698
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-collar-multifield-20261016/PROOF.txt
3537a2b080df0bb8b5d30c73da7dd83dc8e1ae5a6cfea4bb48a8b99f0080dfce
finding:complete-car-kernel-fixes-nongaussian-link-functional