TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/REUSE-SAME-SPIN-SEAM-AND-NEXT-OPERATOR.txt
Original file SHA-256: e2969ebf7c654ca3498dad5143084c6c11a18d2fcd9116effbb0676d0fe10cb9
Inclusive original lines: 1-51
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 | REUSE THE PROVED SAME SPIN SEAM, DO NOT REOPEN ITS ONCE POWER
000002 | Root source review,29October2026.
000003 | 
000004 | 1. Direct source recheck
000005 | SAME-SPIN-REFERENCE-SIMPLIFICATION.txt:1-191 and AKTUELLER-STAND.md:1-48
000006 | in elliptic-moebius-source-bridge-20261026/boundary_origin_20261027
000007 | were read through registered Atlas source records with matching hashes.
000008 | The existing finding same-spin-unit-shift-gives-native-module-class-with-odd-determinant-line
000009 | already proves delta(E,M_z)/delta(E,I)=Nq^-1 tensor B_O^-1.
000010 | The unit seam winding selects power1 in the stated Hardy contract.
000011 | The full ungraded native complex module class is therefore already closed.
000012 | No separate physical unspun scalar reference is necessary for that class.
000013 | 
000014 | 2. Exact retained limits
000015 | B_O has Q=-1 and odd parity; it is not the trivial superline.
000016 | A change alpha->-alpha is allowed in the classified ungraded module class;
000017 | it is not a graded sewing equivalence or an equality at fixed signed alpha.
000018 | Primitive index-1 and triple-cable index-3 are both odd.
000019 | The old result itself retains physical P1 Caldern/Hardy/action identification.
000020 | Reopening the once-power mathematics as if no original seam rule existed
000021 | would duplicate a resolved result. Rechecking the physical operator map does not.
000022 | 
000023 | 3. Join to current kernels without hiding a sign
000024 | The corrected actual source lift gives Delta=det H0(S0Fq)~=Nq^-1
000025 | as the generated c/Q/deck-V4/spin-center line representation,up to scalar.
000026 | The same-spin seam line is Nq^-1 tensor B_O^-1,not literally Delta at fixed Q.
000027 | They yield the old ungraded native class after its allowed alpha sign.
000028 | No canonical map between the closed-curve kernel and the Hardy cokernel,
000029 | nor equality of their actual kinetic operators,has been constructed by this
000030 | line-character comparison. Such a map must include field types and domains.
000031 | 
000032 | [OMITTED: non-scientific conversation or execution metadata]
000033 | [OMITTED: non-scientific conversation or execution metadata]
000034 | [OMITTED: non-scientific conversation or execution metadata]
000035 | [OMITTED: non-scientific conversation or execution metadata]
000036 | [OMITTED: non-scientific conversation or execution metadata]
000037 | [OMITTED: non-scientific conversation or execution metadata]
000038 | [OMITTED: non-scientific conversation or execution metadata]
000039 | [OMITTED: non-scientific conversation or execution metadata]
000040 | [OMITTED: non-scientific conversation or execution metadata]
000041 | [OMITTED: non-scientific conversation or execution metadata]
000042 | 
000043 | 5. Actual next decisive operation
000044 | Identify the original boundary trace/Cauchy polarization of the full charged
000045 | F5 source with the proposed same-spin Hardy seam,or find an original operation
000046 | that gives a different common construction. Reuse the old ACTUAL-REFERENCE-
000047 | SPIN-TEST and the unit circle defect;keep both endpoint signs,domain,charge,
000048 | conjugation,state and actual time. Do not infer a Majorana partner from index1,
000049 | a positive state from an odd transition amplitude,or time from a clock order.
000050 | The complete original operational Seed retains its supplied state/time.
000051 | No new physical closure and no ledger promotion is asserted here.