For a new attempt: Firstderiveactualchargedlocalalgebra/fielddictionaryfromoriginaloperations;thenapplyKMS/modulartransport.Donotuseglobalrotationonfixedintervalaslocalmodulartime.
For a new attempt: ConstructoriginallyjustifiedchangedCartan/statistics/netmapwithchargedfieldcarrier,fullwords,timeandprimitivewindingcomparison.Nospectral/KMSclaimasasubstitute.
Derive existing parity-Gauss rule only from original P1 definitions
Forward source comparison identifies a concrete insertion/localization definition gap. The seed already takes the local net as input; no inverse selection of the gauge net or full P1 compatibility of both models is proved.
For a new attempt: Build no further extension. A later decision needs the originally defined local insertion/sector map with Padm/Gx, state, time, reflection and primitive winding identification. State this gap and stop.
The specific proof steps are audited; generic bound0 is refuted and replaced by correct conditional hypotheses. The source inverse still needs an actual defined local reconstruction.
For a new attempt: Continue only with a precise source map, complete correlators or newly proved symbol/domain bounds. A freely chosen helper model does not replace these conditions.
This inverse is analytically settled; do not repeat Hamiltonian search when complete G is supplied.
For a new attempt: For source selection supply the actual original graph kernel, fiber comparison and normal length; G generated from a guessed B is not a provenance derivation.
Do not repeat homogeneous GKSL time search for the fixed M4 channel
The all-branch proof also excludes every positive integer power.
For a new attempt: Time-dependent execution or a larger justified source is a different comparison class, not a repair of the same homogeneous M4 generator.