Established in scope
Original relative seam has an explicit Fredholm mismatch on whole given two-face graph
In the question: Automated construction of operator maps and sources
Concrete original type of relative boundary operation on given whole collar;explicit index/Gaussian cokernel concern its actual scalar block. No selecting this block instead of whole charged source or physical three-copy count. Whole h=Aγ_F−iγ_FΦ with both principal-symbol directions and C0 completion remains to test. Original fullv21 has four boundary pieces;Γ± are not automatically two F5 faces. No closed operator intertwiner to branched S0 Hardy domain or q evaluation fibers. Index/Fredholm class are not exact operator identity. Time covariance is moving-seam family,not fixed-clutch physical time or new time choice. Old same-spin once norm remains solved;classical matching does not select new state.
Read the exact result, assumptions and evidence
Result
On existing full normalized Cauchy graph V=(sqrtA,sqrt(1−A))^t,A=(1+R²)^-1,R=e^-ell h,the relative boundary mismatch F_U=[−U,I]V=sqrt(1−A)−U sqrtA is bounded. In existing scalar quarter block it normalizes T=R−U on DomR. T is closed Fredholm,index−1,kernel0,with exactly one Gaussian cokernel y_n∝exp(−ell[n(n−1)/2+αn]). Proof uses trace-class perturbation of P_-−U P_+,no truncation or new Hardy projection. Full two-face compression G(U⊕U)G is instead invertible bilateral weighted shift,index0,weights≥sech(ell/2). One-face compression G(I⊕U)G has index+1 in same orientation and leaves G11 unchanged. Circle time covariantly transports matching into U_t=e^it U family.
Required assumptions
- Complete data of both product-collar faces
A selfadjoint B occurs in an exact normal-independent product equation. The full orthogonal L2 Cauchy graph projection of both labeled faces, their actual fiber identification and independently known positive normal length ell are supplied. Selection of these data from P1/P2 is not presumed.
- Constant odd circle-source coefficient with existing sea and full boundary graph
In the existing Clifford chart on L2(S1,K) with finite K let h0=(-i∂theta+alpha)gamma,alpha=1/4 or3/4,gamma*=gamma,gamma²=I. Supply constant selfadjoint odd Phi,{gamma,Phi}=0,and V=-i gamma Phi,h=h0+V on common periodic H1. Compare given CAR sea projectors P_-(h0),P_-(h) and complete pure two-face projector G_ell(h),ell>0,including crossings. This is the existing source class with classical background, not physical selection from P1 or quantization of dynamic bosons.
- Relative unit seam on explicitly assigned collar faces
In existing product collar,test original relative unit gluing v1=Uv0 on an explicitly assigned pair of labeled faces. Scalar block has h e_n=(n+α)e_n and U e_n=e_(n+1),α=1/4 or3/4. Actual original Γ±-to-face assignment,orientation and three-cabled spin trace map are not assumed derived.
Original evidence
- F5-HARDY-SEAM-OPERATOR-REVIEW.txt lines 1–169
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/F5-HARDY-SEAM-OPERATOR-REVIEW.txt
6968c825edaf6454138c228949441a2d67ceae41a034037930f02aeebca8c017
- CLAUDE24-CANDIDATE.txt lines 1–103
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE24-CANDIDATE.txt
ed0232a401e6fe51ebdbfa7d5812208810a3fd205f59d19c20c6759d319ceebe
- 001-section-introduction-the-problem-of-parameters.tex lines 220–258
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-theory-fullv21/sections/001-section-introduction-the-problem-of-parameters.tex
85bb11511be05385a7cadf6071dbede216b12befeb9d6767bc4460748cbec5d7
- BOUNDARY-OPERATION-PROOF.txt lines 24–137
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-collar-multifield-20261016/BOUNDARY-OPERATION-PROOF.txt
a55bc1d8bcda606e274092873dedf00709d40bd093d3ec0e08ce7ff25ecf5a47
- SELFDUAL-KINETIC-PAIRING.txt lines 1–117
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/pfaff_source_review/SELFDUAL-KINETIC-PAIRING.txt
5543c7cf0360985377e388cbd80c8e2eb3faa554f5c6e7e1f50bb1fae88bb065
finding:original-relative-seam-has-explicit-whole-graph-fredholm-mismatch