Conditional result
Canonical native Spin5 Hodge is already a one-source-record subchannel
In the question: Common clock sectors, quartic geometry and operational reconstruction
Prior chart-dependent provenance gap is closed at markedOmega. One coherentrecord suffices;recursion is unnecessary for this target and requiredsecondsystemstep lowersoptimum. Mathematically specifiedCP subchannel is not an alreadyexecuted sourcemeasurement. PhysicalF20/Omega marking,recordaccess andcoupling remain originconditions. No completeTFPT solution.
Read the exact result, assumptions and evidence
Result
Actual symmetricPauliBellbasis P_b/2,inducedSym²metric and explicit compactrealframeR give exactly unitary U=Lambda²(R)†FN intertwining both actualF20 generators withchi^-1. NativeK_m=U†C_mU are fixed withoutduadlabels after fixingOmega. Their entire5D Kraus space already lies in actual60 one-record span ofrank55. Minimum solutionW1X1=V hasX1†X1=3/4I5. Exact CP optimum isp1=1/15. Actualtwo-record rank100 hasV†S2^-1V=I5/64 andp2=4/75. Both optimal contractions haveRowGramI5. One-step exclusion andp2=1/25 applied to different label/monomial target channels and must not be transferred toPhi_native. Source carriesK5 in frameeigenvalue8 space ofdimension45;frame alone does not select5.
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 Pauli and v419 F20 source words
Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.
- Two actual events with coherent record access
Compose the actual unmarked sixty-event source twice, preserving phases. Additionally grant coherent access to all 3600 ordered histories and an active heralded record contraction after fixing a Hodge dictionary. This resource and selection are not derived P1 dynamics.
- Coherent Stinespring record of actual single source event
Use actual60 uniformlyweightedsourceoperations withtheirphases anddilationVsrc=sum_l|l>⊗U_l/sqrt60. GrantcoherentaccesstothisC60record andactivemeasurementofspecifiedeffectasresource. Reducedchannelalonedoesnotprovephysicalrecordcarrier ormeasurement. MarkedOmega andSpin5transportremainexplicitcarrierdata.
Original evidence
- NATIVE-SPIN5-SOURCE-RECORD.txt lines 1–188
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/NATIVE-SPIN5-SOURCE-RECORD.txt
d0d1422719a109ec97887a146286af39aa73214d1437c40b47e46c698ab4039b
- check_native_spin5_source_record.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/check_native_spin5_source_record.py
72fe426e34b1fb6b6195b8a333a71208d73b998be3719acb1ba66515f8dd40ee
- check_native_spin5_source_record.py lines 201–381
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/check_native_spin5_source_record.py
72fe426e34b1fb6b6195b8a333a71208d73b998be3719acb1ba66515f8dd40ee
- native-spin5-source-record-results.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/native-spin5-source-record-results.json
f96a517caa8a0bee3cfc1b0528b0bcdb1121eb605a23afca384ba091080af512
- native-spin5-source-record-results.json lines 201–212
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/native-spin5-source-record-results.json
f96a517caa8a0bee3cfc1b0528b0bcdb1121eb605a23afca384ba091080af512
- INDEPENDENT-INTEGRATION-REVIEW.txt lines 1–158
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/INDEPENDENT-INTEGRATION-REVIEW.txt
6b910cd5577f1591b0859ad6c8edabf39b90ef5de79cb169afe0e2e72315ad5e
finding:canonical-native-spin5-hodge-is-already-one-source-record-subchannel