Established in scope
Native quarter clock is the inner glue-clock class over tetrahedron flags
In the question: Active mathematical program: marked seam monodromies and lattice lifts
Complete torus and Weyl classification plus compact E8 conjugacy, not mere matching spectra. C is not preferred and retains other marks only through their joint transport.
Read the exact result, assumptions and evidence
Result
Five-carrier parity kappa=exp(2pi i v(0)), v=(1/2^5,0^3), acts on the four U glue sectors as1,i,-1,-i and fixes precisely U. Among all65536 torus points modulo4 exactly15120 match actual Jhat; they form one actual W(E8) orbit. Thus C kappa C^-1=Jhat for a full VOA automorphism C. Each two inverse primitive characters share a fixed root lattice D5+A3; the7560 kernels are equivariantly the actual7560 compiler/tetrahedron flags.
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 1–101
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 38–174
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-source-reconstruction-20261024/native_clock_conjugacy.py
93c50855843792bad67ba86b805048a72ba45dd71a9d958250b6232fafc673dc
finding:native-quarter-glue-inner-conjugacy-and-oriented-tetrahedron-flags