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Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Scoped exclusion

Raw face insertion fails null stability; graph symmetries classified

In the question: Automated construction of operator maps and sources

Excludes only the raw mask action on this exact K_G and exact ancillary intertwiner repair. Does not exclude other history kernels, altered sources or physical interventions.

Read the exact result, assumptions and evidence

Result

For K_G=<x,Gy>, P0 sends the null vector (-t,1)/sqrt(1+t²) to squared norm t²/(1+t²)²>0. The raw mask is not a quotient operation; W*W=G and OW=WP0 are also impossible. Compression repairs only mathematical descent. Separately, block unitaries diag(U0,U1) preserve the full graph iff U0=U1 spectrally commutes with B. Degeneracies may retain nonabelian commutants; interventions need not be symmetries.

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.

  • Geometric two-face compression and explicit projection kernel

    Given selfadjoint B, labeled identified fibers and ell>0, G is the orthogonal graph projection of T=e^-ellB, A=(I+T²)^-1, V=(A^1/2,T A^1/2). The geometric scalar F_f=diag(M_f,0), L_f=V*F_fV and K_G(x,y)=<x,Gy> are studied without identifying a physical covariance, instrument, Born rule or reprojection law.

  • 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

  • BOUNDARY-OPERATION-PROOF.txt lines 40–66

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-collar-multifield-20261016/BOUNDARY-OPERATION-PROOF.txt

    a55bc1d8bcda606e274092873dedf00709d40bd093d3ec0e08ce7ff25ecf5a47

  • BOUNDARY-OPERATION-PROOF.txt lines 138–206

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-collar-multifield-20261016/BOUNDARY-OPERATION-PROOF.txt

    a55bc1d8bcda606e274092873dedf00709d40bd093d3ec0e08ce7ff25ecf5a47

  • boundary_operation_response.py lines 1–89

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-collar-multifield-20261016/boundary_operation_response.py

    e0be5a934fee1fd72b830d620b4e7bd73781eb85bec035e876d07c86f9f627f3

finding:raw-face-mask-fails-source-kernel-null-descent