Established in scope
One common inner conjugator for the complete C12 compiler family
In the question: Active mathematical program: marked seam monodromies and lattice lifts
One selected actual admissible chat and its whole power family. All four admissible sign lifts have the same cycle character. No frozen full marked-tuple equivalence or microscopic origin is proved.
Read the exact result, assumptions and evidence
Result
After toralizing actual chat and aligning its ninth power to kappa, all candidates c_t=kappa sigma_t are covered by3^8=6561 cubic torus points. Exactly480 have the full original weight-one character and form one orbit under reflections in52 U roots. Thus chat,Jhat=chat^9,sigmahat=chat^4 are simultaneously conjugate to c_t,kappa,sigma_t. Combining kappa with the old frozen sigma already fails on an explicit root.
Required assumptions
- Full unitary E8 field conjugacy with transported marks
Start with the existing unitary E8 lattice VOA, original cocycle and actual chat,Jhat,sigmahat. Full inner unitary E8 automorphisms are allowed for this conjugacy comparison. Cartan, Gaussian V4, Y, P5 and other marks are transported rather than frozen. This category is explicitly larger than original sign lifts and implies neither a G31 splitting nor a preferred microscopic conjugator.
Original evidence
- NATIVE-CLOCK-CONJUGACY.txt lines 101–171
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-source-reconstruction-20261024/NATIVE-CLOCK-CONJUGACY.txt
5f208d8d32fdc77e774ec77b5a320f378cfc9e2c8793d4d3d439983aae583a45
- native_clock_conjugacy.py lines 170–221
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-source-reconstruction-20261024/native_clock_conjugacy.py
93c50855843792bad67ba86b805048a72ba45dd71a9d958250b6232fafc673dc
finding:native-cyclic-compiler-inner-conjugacy