TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/BOTT-MAP-DEDUP.txt
Original file SHA-256: 519eb20559e2e15fccc8e775bc2c2f8b3a1ce666fc25efb60660d5c48be86803
Inclusive original lines: 1-29
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 | EXISTING PROJECTOR CLUTCH FORM AND THE NEW FAMILY PARAMETER ROLES
000002 | 29 October 2026. Original September30 proof reread through the Atlas.
000003 | 
000004 | BOTT_CLASS_ORIGIN.md:23-43 already gives
000005 |   u(z,n)=I+(z-1)P(n), P(n)=(I+n.sigma)/2,
000006 |   U(z,n)=u(z,n)u(z,n0)^-1,
000007 | with detU=1 and a degree-one Bott map on S1 smash S2 -> S3 -> E8.
000008 | Its normal sphere spin class, native SM-singlet SU2 embedding and operator
000009 | scope are explicit. Thus the projector clutch FORM is an existing result,
000010 | not a newly invented operation or a forgotten proof of physical source.
000011 | 
000012 | [OMITTED: non-scientific conversation or execution metadata]
000013 | [OMITTED: non-scientific conversation or execution metadata]
000014 | [OMITTED: non-scientific conversation or execution metadata]
000015 | [OMITTED: non-scientific conversation or execution metadata]
000016 | [OMITTED: non-scientific conversation or execution metadata]
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 | 
000021 | The current reviewed finding records the specific global family-index and
000022 | charge dictionary under its premises. It does not claim novelty of the
000023 | projector formula or replace the old Bott route and its exclusions.
000024 | The actual original operator/source identification remains open in both.
000025 | 
000026 | Original source:
000027 | experiments/theory-contracts/source-rule-search-20260930/BOTT_CLASS_ORIGIN.md
000028 | SHA256 909b875df080c5cb0d7f690f7218ee50ea596a380ebe2c2cb0277e21461caf5e
000029 | Read complete lines1-126. No prior source or registered review modified.