Conditional result
Native Hodge record selector is image projector not Kraus kernel
In the question: Common clock sectors, quartic geometry and operational reconstruction
Coherent C60 access and physical coupling/measurement{E,I−E} remain open for the conditional record implementation. This is not necessary for every Hodge realization: actual current intertwiner and charged OPE coevaluation bypass record measurement. Original image projector, transpose and exclusion of a Kraus-kernel replacement remain correct. See new current and sewing findings.
Read the exact result, assumptions and evidence
Result
X1†X1=3/4I5 determines orthogonalcoefficientprojectorPi_coeff=(4/3)X1X1†. In standardStinespringconvention sum_l|l>⊗U_l/sqrt60 actualrecordeffectisE=Pi_coeff^T sinceJ_E=W1E^TW1†/60;successbranchPhi_native/15. Same-dimension5DkernelW1 isorthogonaltoimageX1 andgiveszerosystemamplitude. OriginalPprim/Calderon/Qprim/Pfaffian actonotherimages. ExistingRECORDS.md givesconditionalcoherentrotation andexplicitlyassumesrecordcarrier/readoutbasis;stablerecordalgebra/Bornrule donotselectE.
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.
- 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
- SPIN5-RECORD-SOURCE-SELECTION-AUDIT.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/SPIN5-RECORD-SOURCE-SELECTION-AUDIT.txt
e3dca8b9336621c3e05328ad322ed009c8badd34a65eabdd46fa01871c4d5fca
- SPIN5-RECORD-SOURCE-SELECTION-AUDIT.txt lines 201–289
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/SPIN5-RECORD-SOURCE-SELECTION-AUDIT.txt
e3dca8b9336621c3e05328ad322ed009c8badd34a65eabdd46fa01871c4d5fca
- 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
- CURRENT-FAMILY-AND-NORMALIZATION.txt lines 1–187
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/CURRENT-FAMILY-AND-NORMALIZATION.txt
b6d6a57fe2ed89c27ac62c11f57dde2d222efd5727e1dc2055680e96ae263569
finding:native-hodge-record-selector-is-image-projector-not-kraus-kernel