Established in scope
E7 distinguishes glue types and conditional normalization rules
In the question: Active mathematical program: marked seam monodromies and lattice lifts
Exact lattice quotients and non-identifiability of an extra normalization map. No identification of original modular index I with m in each projection, no selection of a law or E7 coupling/scale prediction. The historical7pi window is no independent measurement. The established P1/P2→D5+A3→E8 construction and phi_base=(4/3)c3 remain intact. This comparison concerns only an additionally proposed E7 continuation and is not a missing step in the existing compiler.
Read the exact result, assumptions and evidence
Result
The native E8 quotients for D6+A1+A1, E7+A1, E6+A2 and D5+A3 are C2²,C2,C3,C4. The E7-pair index4 is not cyclic C4 glue. Conditional continuations1/(pi*r) and1/(2pi*m), with selected exceptional rank r and lattice extension index m, agree at E6/E8 but differ at E7:1/(7pi) versus1/(4pi). The anchors do not determine the continuation. Complete conformal windows retain total rank and central charge8.
Required assumptions
- Active purely mathematical marked-seam program
Within the stated mathematical scope, marked pairs, lattice transport systems, reflections, clocks and cohomology are independent mathematical objects. Earlier origin/completion tasks are historical, not active. Distinguish new definitions, derived theorems and optional markings.
- Existing even E8 lattice, Gaussian J and sign lifts
Given existing even unimodular E8 with actual J(x0,x1,...)=(-x1,x0,...) and J²=-I, and the original ordered sign lattice cocycle. Sign automorphisms have kernel Hom(L,F2). Retain original integral ordered basis and generator phases; no enlargement to U1 characters except explicitly defined scalar pushouts.
Original evidence
- PROOF.txt lines 165–175
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-quarter-clock-20261023/PROOF.txt
ac3e95975adb14c82815731b3d8aa0f6e1caf72d25fb749250a5b1bbcd269884
- PROOF.txt lines 232–269
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-quarter-clock-20261023/PROOF.txt
ac3e95975adb14c82815731b3d8aa0f6e1caf72d25fb749250a5b1bbcd269884
- checker.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-quarter-clock-20261023/checker.py
31e9fcf230273955bbf69536c6594255e3c0c53034a87e13ca1d3c56815b0562
- PROOF.txt lines 270–286
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-quarter-clock-20261023/PROOF.txt
ac3e95975adb14c82815731b3d8aa0f6e1caf72d25fb749250a5b1bbcd269884
finding:e-series-integral-glue-and-normalization-nonidentifiability