Established in scope
Canonical vacuum and L0 select no E6 corner and differ from internal clock
In the question: Active mathematical program: marked seam monodromies and lattice lifts
Exactly the existing marked associated E8 object and its standard conformal vacuum realization. No general physical time no-go, base/deck/fibre identification or additional state marking.
Read the exact result, assumptions and evidence
Result
Every original lattice-field lift fixes the canonical vacuum and Sugawara vector and commutes with every L_n. Thus the existing d field lifts126/127 remain automorphisms after including these canonical data and still fix no E6 corner. Internal Jhat has eigenvalues+i and-i four times each on the eight weight1 Cartan currents; exp(i theta L0) is scalar there. Hence Jhat is not a conformal time rotation for any theta. The joint cover construction and nonsplit transition carries remain functorial.
Required assumptions
- Exact local reconstruction class of the marked C4 glue
Mathematical object class Ext_H(U): U=V_D5 tensor V_A3 with fixed embedding and sector chart, H=<(s,f)>=C4. Objects are connected local unitary conformal VOA extensions with the same conformal vector and underlying labelled U module exactly the sum of M_h for h in H, each once. Isomorphisms fix U and sector labels. This is an explicit mathematical reconstruction class; membership of primitive P1 is neither assumed nor derived.
- Joint category of original compiler flags and cover actions
Retain original E8 lattice VOA products, J/sigma/c/Y, D5+A3 root factors and quartic/erasure diagram. Transitions transport all marks through actual lifts in the original sign extension; they are not fixed-J stabilizers. The Burau peripheral comparison uses the associated local system induced from the existing marked C3 cover and its retained deck module. No independent geometric Gauss-Manin identification, added line correction or selected E6 vertex.
- Full original G31action and inherited lattice sign extension
The60actual original complex reflections act on the same original even E8lattice. Study exactly their full preimage in the automorphism group of the lattice group defined by unchanged eps_e8. Kernel A=Hom(E8,Z2), with g.a=a composed g^-1. No scalar replacement, enlarged coefficients or extra square relation for lifted puncture meridians.
Original evidence
- THEOREMS.txt lines 387–448
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-source-reconstruction-20261024/THEOREMS.txt
5c0d7328c583cdbc0a8c358445b57821d5b5722540ca372c1d28052b900eb584
- SELECTION.txt lines 1–110
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-joint-source-20261023/SELECTION.txt
eaf46bcdc3ae40faded8b33bb100e5a6625cc3f71bdc07a4d696e49bd6705e7d
finding:canonical-vacuum-clock-preserves-e6-nonselection