Scoped exclusion
Injectivity at each volume does not prove uniform parent gap
In the question: Automated construction of operator maps and sources
Excludes automatic uniformity from per-volume positivity/separation/injectivity for changing tensors. Does not contradict fixed-tensorFNW or prove actualTFPTgap collapse. ActualC6/weights/carrier must produce common tensor or controlled family. No physical3+1/spin2 orLean validation.
Read the exact result, assumptions and evidence
Result
Exact MPS familyA0=|0>(a<0|+b<1|),A1=|1>(b<0|+a<1|),a²=1-e,b²=e,0<e<1/2 is length2injective with fixedD=d2 and canonical range3 norm1 parent projectors. Ringnorm1+lambda^L and exact whole variance give direct Rayleigh gapH_L(e)<=9(1-lambda)/(1+lambda)(1+lambda^L)/(1-lambda^L). e_L=1/(4L) givesO(1/L) to0,without equating PF and parent gaps.
Required assumptions
- Original blocked transfer and marked-source/uniformity audit
Literal QFT004 C6 Green/retained weights/Padm route and Burnside-to-MPS-to-uniform-parent-gap inference. Distinct exact implication witnesses:same wholeCP transfer at fixed markO,and injective volume-varying canonical range3 parents. Not physical TFPT models or countermodels to whole master action.
- 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.
- 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
- TRANSFER-FIELD-SOURCE-PROOF.txt lines 1–158
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/TRANSFER-FIELD-SOURCE-PROOF.txt
f9f8954dba19fea962d3ef343ef7d664eda1b0e8f7f89a8c9ab3e4074c85b1d8
- check_transfer_field_source.py lines 1–90
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_transfer_field_source.py
9ffe815270c4c29e32f3c8e6c2a1a4686e02cd301a7f16e5dab791ddd93a8786
- TRANSFER-FIELD-SOURCE.json lines 1–91
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/TRANSFER-FIELD-SOURCE.json
361d93d3d7a5b4a4a64edb2beb5aaa41da26ce76f556447f6bd3356ff177ddc9
- 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
- 004-source.tex lines 282–353
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/004-source.tex
a5d1cc26f80d2f1d5af3d89b94cf8ff8912b572040614d4e1c27f1fe3b747126
- 005-subsection-admissible-schwinger-functions-minkowski-loca.tex lines 1–122
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/005-subsection-admissible-schwinger-functions-minkowski-loca.tex
8bf0a37157505ca12b90154dbe41a29c49a503686a8493dffd63945f205e0af6
- 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
- OS-SOURCE-REPAIR.txt lines 1–80
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/OS-SOURCE-REPAIR.txt
50bc771398e8a363a617c677f503f556c9f2adccf6e40cfcb460ca4eb9f55ba6
- v330_qgamb_admissible_measure.py lines 42–74
Source checked at this snapshot
Original location and fingerprint
verification/v330_qgamb_admissible_measure.py
21cbeb2b96d9ee581da3a9c45be400d77d232730ba37bbb19cb4cec07fb5e5be
finding:volume-wise-injective-positive-transfer-does-not-prove-uniform-parent-gap