E8 mixed perturbation corner

Date: 26 October 2026

Status: planned finite compact-cell stencil closed; intercell gate open

Evidence: mixed-corner ledger Certificate: mixed-corner verifier

The promoted 10% unequal locking vector and 5% kinetic congruence were applied together. Complete-shell gaps at cutoffs 6, 8 and 10 are 0.2197313169, 0.2182306718 and 0.2180990361. Successive changes are 0.683% and 0.0603%; the final value differs from the symmetric reference by only -0.0814%. The first three residuals are below \(2.5\times10^{-11}\), low-four boundary weight is below \(8.0\times10^{-6}\), and the odd sine-bright first transition survives.

The near-cancellation of the scalar gap shifts is instructive: it does not erase the anisotropic eight-channel detector weights. Gap plus resolved drive vector is therefore the minimally faithful record.

This closes the planned finite compact-cell stencil: five scalar ratios, two non-collinear amplitude directions, one positive metric direction and one mixed corner. It does not prove the interior continuous or give a rigorous lower bound. Further single-cell sampling now has lower value than introducing an explicit cell index and asking whether local, relative-cell and collective modes remain separated under intercell coupling.