Scoped exclusion
Mass-only relative deck operator fails ordinary heat trace
In the question: Automated construction of operator maps and sources
Excludes only expressly combined deck identification,heat profile and ordinary infinite trace. No general P1,profile,deck or TFPT exclusion. Actual finite UV domain,other trace or different original relative-pair prescription changes contract and must be explicit. No unique inference of replacement by Tr f(Dfull)-Tr f(Dref),or renormalization condition from chi alone. Preserve valid normal,tangential and product-reflection maps and complete Seed.
Read the exact result, assumptions and evidence
Result
Full tau=S R_r gives exactly Dref=D0+(Z/2)(Phi-Phi_tau),Drel=(Z/2)(Phi+Phi_tau),hence claimed massless reference for even Phi. Fiber S alone instead gives Dref=NZA,Drel=N partial_r+ZPhi. Distinct existing product reflection S gamma_F R_r preserves coupled D and gives Drel0. Under narrow mass-only Drel and ordinary infinite heat trace,already Phi0 fails:f(Drel)=I,so I-exp[-(D0/chi)²] is noncompact. Compact base,gap removal and internal admissibility selection do not remove this UV identity term. Original relative-object table also permits a declared relative pair; this does not replace the explicit even/odd formula without its own source reconciliation.
Required assumptions
- Mass-only deck-odd part under ordinary heat trace
Narrow candidate: full local deck tau=S R_r with transported A and reflection-even Phi on a common stable domain,so Dref=D0,Drel=ZPhi. Test literal primitive Tr f(Drel/chi)-Tr f(Dref/chi),allowed f(x)=exp(-x²),on a nonzero infinite-dimensional geometric Hilbert space,without added UV cutoff or alternate trace. This is not assumed for all P1 realizations.
- 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
- DECISION.txt lines 1–98
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DECISION.txt
511f2fd726e404cac271bd3f59bce024304aacd576148a3463228cfb3bd75fc5
- DECK-REFERENCE-AND-ACTION.txt lines 1–197
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/DECK-REFERENCE-AND-ACTION.txt
d392cfc2c0b3b50d39a041c6c1ee8bd3a1e173f80e767f35e05ba82344eaf0f1
- 001-section-primitive-core-and-carrier-interface-handoff.tex lines 109–135
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
- 001-section-primitive-core-and-carrier-interface-handoff.tex lines 302–316
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
- 003-subsection-relative-objects.tex lines 1–24
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/003-subsection-relative-objects.tex
d1136b33055198aedd6d1322912672977374f13f30e65dd073312ed272df0858
finding:mass-only-deck-relative-heat-action-fails-free-infinite-trace