Established in scope
Original admissibility projector is explicit; its penalties do not read retained amplitudes
In the question: Automated construction of operator maps and sources
Necessary original type separation between selection and label-dependent amplitudes within the selected sector. Preserve explicit projector and given full operational seed. Bounded source coverage is not universal absence. Rank-one separation is trivial. Do not impose a new d_r program as a universal gate; actual original action-to-transfer or sewing constructions remain eligible. No new free state, smoothing or Hardy=wholeY assumption.
Read the exact result, assumptions and evidence
Result
Original QFT2 explicitly produces P_adm as the joint zero-penalty Hodge sector. Positivity gives K_rP_adm=0; every unital penalty polynomial and joint bounded functional calculus restricts to its zero value times identity, with exp(-betaDelta)=I. Such penalty-only weights cannot separate a retained basis of dimension at least two. Actual QFT4 explicitly names additional transport counts, carrier labels and retained selector weights. Reviewed Source45/Paper42 passages do not provide numerical d_r(w) or ordered whole-T_V contraction. Existing v330/v175/origin_transfer are different concrete consumers, not silently identified with this producer.
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.
- Given original two-stage admissibility complex and blocked weight caller
On the printed closed branch QFT2 gives commuting selfadjoint K_r, Delta_adm=sum K_r² and its Hodge projector. QFT4 additionally uses local C6 Green kernels and diagonal weights from transport counts, carrier labels and retained selector weights. Review this given source contract without asserting new physical provenance or choosing a new state.
Original evidence
- ORIGINAL-BLOCKED-TV-WEIGHT-PRODUCER-REVIEW.txt lines 1–118
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-BLOCKED-TV-WEIGHT-PRODUCER-REVIEW.txt
13ca0b93af3693b0fd6eaa93ffd00eace09d0140cc5c01da152c0af5916ebeca
- ROOT-FULL-MARKED-READER-AND-ORIGINAL-WEIGHTS-REVIEW.txt lines 1–88
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-FULL-MARKED-READER-AND-ORIGINAL-WEIGHTS-REVIEW.txt
e262351fa651517b6af17483c079803b0666e407910d9ec2ba5434a6f2733bbc
- 002-section-closure-theorems-from-the-admissibility-complex.tex lines 31–117
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/002-section-closure-theorems-from-the-admissibility-complex.tex
61ecee7727bdec47936bbffc028d3dbac5260a025b6dbcce30124a60d635fc9c
- 004-source.tex lines 282–299
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/004-source.tex
a5d1cc26f80d2f1d5af3d89b94cf8ff8912b572040614d4e1c27f1fe3b747126
- 004-source.tex lines 111–155
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/004-source.tex
a5d1cc26f80d2f1d5af3d89b94cf8ff8912b572040614d4e1c27f1fe3b747126
finding:original-admissibility-projector-is-explicit-penalties-do-not-read-retained-amplitudes