Scoped exclusion
Source winding/Cartan four-word and two-edge KMS/GSO distinguish global spinor refielding
In the question: Historical: common source, state and event selection
KnownCartanperiodicityobstructionappliedtoconcreteKMS/GSO/windingtest,notclaimednewabstractsectortheorem. Retainnamedoperators/fullwordsincludingchargedintermediatestates. Notmerelyvacuumvector/spectralcomparison;noGibbsstatephysicallyselectedfromP1. SOURCEcirclenotidentifiedwithprimitiveP1core,nospectralflowdivision. Totalparitymayretainpairedleft/rightpump;noindependentmicroscopicedgepumpasserted. OriginallyderiveddifferentphysicalCartan/net/Gaussdictionarynotexcluded.
Read the exact result, assumptions and evidence
Result
KnownPhi preservesH,Q,vacuumvector/allunflavouredpartitions,bute^2pi_iNkold=IandPhi*e^2pi_iNktargetPhi=P=(-1)^Q. GivenunitarySOURCE W1withPW1=-W1P givesfullfourwordW1*U_kW1U_k* exactly+Iold/-Itarget,alreadyvacuumexpectation+1/-1;fixednormalorderingphasescancel. Thermal targetresponseS/Z<1forallbeta>0. TOTAL-evenbothedgesretainsodd/odd,targetresponse(ZLeZRe-ZLoZRo)/(sum)=2r/(1+r²)<1forequalspectra,r=S/Z. LEFT-evenwoulderasewitnessbutPi_eW1Pi_e=0.
Required assumptions
- Canonical source Gibbs/parity probe with retained Cartans and source winding
In existing conditional one-copy eightfold dictionary retain all8namedCartans,pinZ8,originalsea,H_source=8K,Q,globalPhi:D8+v→D8+c andactual SOURCE W1with[Q,W1]=W1. PrimitiveP1circle identification remains missing. CanonicalGibbs traces forEVERYbeta>0 are mathematicalfaithfulword/operator probes,not selectedphysicaltemperature. Retainbothoriginal limitingedges/parities; distinguishTOTAL-even andLEFT-even. No independent edgefluxregisters or microscopic pairedpumpfactorization asserted. ChangedphysicalCartan/netdictionary still needsderivation.
- Given eightfold source fold with explicitly changed odd target action
Given existing one-copy CAR source,sea,fold,p in Z8,Heisenberg oscillators,Q=sum p,H=8K,K=N+p²/2+delta.p with delta_k=(k+alpha)/8-1/2,and actual SOURCE windingT1=Rp+e0,alpha1/4or3/4. Test explicit Phi=I on D8,rho=Pp+r on odd v with oscillator-P to odd spinor extension. Odd target Cartan action is explicitly changed by this comparison; inclusion in the original local net is separate. Neither folding,SOURCE/P1-core circle identification nor bosonic statistics is derived from P1.
- 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
- ATLAS-KMS-LOCALITY-AND-SOURCE-WINDING.txt lines 75–164
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/ATLAS-KMS-LOCALITY-AND-SOURCE-WINDING.txt
a072b1a28c1e065ae3311df9a3e9cdbbeff6f4838a81e739e69490c6cc43618e
- ODD-SECTOR-REFIELDING-AND-NAHT.txt lines 23–130
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/ODD-SECTOR-REFIELDING-AND-NAHT.txt
bd4eb3057f1daf94877f711f664e2db5f5bd4673d04ff852083abdfcb0e18c70
- check_kms_locality_and_source_winding.py lines 35–144
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/check_kms_locality_and_source_winding.py
7c6e4579da19d55089a95f751e72a37af250e51360ee4b02fa499df7e2fba2a7
- kms-locality-and-source-winding-results.json lines 1–82
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/kms-locality-and-source-winding-results.json
0d4ef01c6f44f021b87036353d9a8f8bd4850617bccbf8cf569387dc9931f955
- CLAUDE-KMS-AND-WINDING-REVIEW.txt lines 1–44
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/CLAUDE-KMS-AND-WINDING-REVIEW.txt
3c8a3e179a9a986441523c429fe905995f5d81d42129ec735f21ec32750f2642
finding:source-winding-cartan-four-word-and-two-edge-kms-gso-discriminator