Established in scope
Metric DtN form bound needs comparison to transfer generator
In the question: Automated construction of operator maps and sources
Specified abstract norm inference and finite native v311 representative only; no refutation of actual TFPT geometric coupling and no physical F1 closure. Original common source and actual operator bridge remain to be derived.
Read the exact result, assumptions and evidence
Result
The printed Delta−2v gap conclusion does not follow from the stated DtN graph norm bound: on the existing v311 transfer representative N=H and V=vP0−v(1+Delta)P1 have weighted norm v but gap Delta−v(Delta+2)=0.6923902, below 1.6475515. Without N/H comparison a second diagnostic makes the gap arbitrarily small. These N/V are mathematical witnesses, not identified original operators. If on a shared form domain N+I<=aH+bI, va<1 and the result is positive, minmax gives gap>=(1−va)Delta−2vb; sharp for N=H. v76/v29 numerical arithmetic remains valid; the printed strict >1.648 is false. No full RP, measure or physical gap follows alone.
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.
Original evidence
- 010-section-the-explicit-mass-gap-closes-dynamics-and-cluste.tex lines 328–361
Source checked at this snapshot
Original location and fingerprint
documents/tfpt_2_standard_model/sections/010-section-the-explicit-mass-gap-closes-dynamics-and-cluste.tex
3a31f272d999f1e0b027f25a877068576c6cbdc83150c7b5c0f8a6e17bed1904
- v311_gap_decoupled_measure.py lines 1–51
Source checked at this snapshot
Original location and fingerprint
verification/v311_gap_decoupled_measure.py
a2495feefd0f01e0d28a896508c9358fd8d9540cc7115a70b2138aff0221d606
- v76_gmetric_reduction.py lines 1–66
Source checked at this snapshot
Original location and fingerprint
verification/v76_gmetric_reduction.py
79e582a1c66ddb9081137c87e91544a08f168b7d6156c708151fa88f6c6afe6a
- METRIC-FORM-GAP-PROOF.txt lines 1–69
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/METRIC-FORM-GAP-PROOF.txt
55fdfd9c6fdaff1bf36559ba6ab713d8820ab4cb35d33b16d38824ab20163552
- check_metric_form_gap.py lines 1–76
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_metric_form_gap.py
8778498e1c246988f13c1ee86fd28d146491ad07bc8a520ac4b22cf2aa8ff737
- metric-form-gap-results.json lines 1–48
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/metric-form-gap-results.json
69b7e5470e74b978d1b536d3a18be78f02a2a0a883b23bdfb05adea3771f1f74
finding:metric-dtn-form-bound-needs-transfer-comparison-for-gap