Scoped exclusion
Fiber-only reflection and frozen gap miss the original action
In the question: Automated construction of operator maps and sources
Narrow rejection of these concrete origin identifications, not a universal P1/action no-go. The full product lift is not thereby selected as primitive. The heat control only tests alleged field independence, not a physical profile. Retain actual bundle transition, closed domain, reference, gap and eta. A joint S_bos+S_ferm is allowed without requiring bosonic action equal to a fermion determinant or Hessian equal to Dirac. Preserve the given whole-source response and OS reconstruction.
Read the exact result, assumptions and evidence
Result
The reviewed fiber-only identification fails on central coordinate multiplication, before domain completion. Restoring normal pullback preserves the full constant product Dirac expression and gives D_rel=0, reusing the prior product-lift result. A field-independent unscaled K does not make Tr f(K/chi) field-independent when chi is bound to the boundary gap; a constant Dirac-block heat contribution has an explicit nonzero derivative. the reviewed source's scalar first variation, without two source insertions and their mixed derivative, is not a mixed boundary term.
Required assumptions
- 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.
- Local geometric lift on a Dirac boundary
The claimed geometric deck reflection acts at the fixed boundary through a local bundle lift over the same base reflection. Compare an ordinary positive-dimensional Dirac boundary with orthogonal Calderon projection; a nonlocal operator subsequently defined as 2P_C−I is not a pre-established geometric action.
- Original admissibility and graded-source interfaces
v42 defines P_adm through primitive seam/Cauchy,gap,color and determinant conditions; v31 closure assumes an RP CAR kernel without identifying it with the old circle. v42 exp(W_k[J]) is a formal parent integral; spectral action, positive geometric marginal and full graded source are not equated. The separate eta term of the master functional is retained. Seek an original local image, not global Hilbert equivalence.
Original evidence
- ACTUAL-DECK-PULLBACK-INSERTION-REVIEW.txt lines 1–87
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ACTUAL-DECK-PULLBACK-INSERTION-REVIEW.txt
348b7851bf816476609679058a5c922b6392c81b9b09b28f037ebe710b2efc1f
- ROOT-DIRECT-ACTION-AND-BOUND-SCALE-REVIEW.txt lines 40–133
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-DIRECT-ACTION-AND-BOUND-SCALE-REVIEW.txt
b87da1f3fea8126b78698e8c992ac70d50591e4794bcc3a8ba8406434ed3203a
- 001-section-primitive-core-and-carrier-interface-handoff.tex lines 42–179
Source checked at this snapshot
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
finding:fiber-only-primitive-split-and-frozen-gap-miss-original-action