Established in scope
Original primitive action exists; its high-pass does not select a finite carrier
In the question: Automated construction of operator maps and sources
Preserve the original action and supplied full GNS/state/time source. Not an exclusion of every possible variation or renormalization; reuse existing coupled reference/reflection/gap/domain/projector/eta variation results. Old first-order-bound and D4 corrections are not rediscovered. This checks only the claim that primitive projection/stationarity already generated the finite background.
Read the exact result, assumptions and evidence
Result
the reviewed source correctly quoted the original primitive relative-action formula and its bound reference/relative split. Do not reject it by substituting a different relative-trace convention. The actual primitive projector is seam-even times a spectral high-pass and retains infinitely many circle modes, so it does not by itself select finite Hcar or generate Yukawas. The displayed master variables and hypercharge Y are distinct from Yukawa matrices.
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.
- 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.
Original evidence
- GROK38-PRIMITIVE-PROJECTOR-AND-VARIATION-REVIEW.txt lines 1–183
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/GROK38-PRIMITIVE-PROJECTOR-AND-VARIATION-REVIEW.txt
b46a4cfb81b9126e495b2af431e15dae27ad70c4a9d76cf1702381ef0756527f
finding:original-primitive-action-is-present-highpass-is-not-finite-selector