TFPT scientific source excerpt Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_origin_derivation_20261029/INDEPENDENT-REVIEW.txt Original file SHA-256: 6fec4a3ad092c6703c3231a3e956ab95f70559ae73d0116d63ac4e63dd3e475f Inclusive original lines: 1-25 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000001 | [OMITTED: non-scientific conversation or execution metadata] 000002 | [OMITTED: non-scientific conversation or execution metadata] 000003 | 000004 | The spectral gap argument is correct under the explicitly stated assumptions: 000005 | a least positive spectral point g is present, the group is strongly continuous, 000006 | and the exact all-parameter scaling law concerns this SAME H. Stone uniqueness 000007 | and unitary spectral invariance then contradict half-scaling. At the other 000008 | source normalization H/8 the number changes to1/32, not the conclusion. 000009 | The review does not exclude different gapless translation generators or HSMI. 000010 | 000011 | The noncommutative trace Hessian check is correct: exp(-1)-exp(-3), not the 000012 | naive exp(-1)+exp(-3). Proper general formulas use divided differences. 000013 | The cutoff check does not claim two full P1 models; it isolates the missing 000014 | modular-to-spectral identification. The new next target must remain an actual 000015 | original field/action/source identity, not these negative tests alone. 000016 | 000017 | [OMITTED: non-scientific conversation or execution metadata] 000018 | [OMITTED: non-scientific conversation or execution metadata] 000019 | [OMITTED: non-scientific conversation or execution metadata] 000020 | [OMITTED: non-scientific conversation or execution metadata] 000021 | [OMITTED: non-scientific conversation or execution metadata] 000022 | 000023 | The earlier v259 cutoff gap was also confirmed at the actual script and found 000024 | already present in the Atlas claim annotation. It is reused rather than counted 000025 | as a newly discovered independent physical result. Original files/ledger unchanged.