Read the result in its research context.

Result

The primitive action derivative needs supplied D_rel/ref[j], domain, chi and eta families; logZ derivatives additionally retain measure/domain variation and a second contact term. The given collar yields T_ell=e^-ellB with geometric sewing, not A_ell: A0=I/2 and (log a_ell(lambda))''|0=-lambda² exclude a common scalar semigroup normalization on the quarter spectrum. Under the separate boundary-kernel reading K_f=F M_f F with identity kernel A, inverse-Gram sewing uniquely yields K_f#K_g=F M_fg F, commutative for scalar insertions. Ordinary noncommuting L_f operator multiplication remains valid. As f1 geometrically is an actual face mask, this kernel reading is not automatically the physical law.

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.

• Local coordinate algebra of the conditional quarter source

  Given the conditional scalar circle realization H=L²(S¹), Dom B=H¹_per, Bα=−i∂θ+α with α=1/4 or3/4. The local algebra investigated here is explicitly smooth multiplication C∞(S¹) on this line, not a complete physical field-insertion algebra already derived from P1/P2.

• 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.

• Explicit boundary-kernel interpretation with identity kernel A

  For positive injective dense-range F=A^1/2, K_O=F O F are interpreted as bilinear kernels in a nonorthogonal frame with identity kernel A. In finite regulators A W A=A forces inverse-Gram sewing; in infinite dimension it is defined as a bounded form using F^-1 K. This is an explicitly conditional representation reading, not a physical intervention, projection or measurement law selected by the original action. The alternative reading of F_1 as an actual face filter is not excluded.

• 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

• ACTION-INTERVENTION-SEWING.txt lines 1–188

  Source checked at this snapshot

  Original location and fingerprint

  experiments/theory-contracts/seam-collar-multifield-20261016/ACTION-INTERVENTION-SEWING.txt

  5ea81ef8271bcde984a81ee2bd5aad6eda25a2f41db988a416136c1fda90b16b

• action_intervention_sewing.py lines 1–64

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  Original location and fingerprint

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

  57e55143cbe07cafbc07c4b4214677e29a34ef4580f6d7d2db58b5f4f3956f3d

• 001-section-primitive-core-and-carrier-interface-handoff.tex lines 302–343

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  Original location and fingerprint

  documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex

  7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79

• 007-subsection-renormalized-physical-and-scheme-readout-laye.tex lines 3–16

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  Original location and fingerprint

  documents/archive--tfpt-45--source_extracts--04_qft_source/sections/007-subsection-renormalized-physical-and-scheme-readout-laye.tex

  9c1c587cbd61fc4034649d778d16f1ee0e8c1e1189885babb3d8148a6fe72d7c

finding:action-response-sewing-does-not-select-lf-intervention