Finite-N inertia and constrained link dynamics in a fuzzy-sphere black-hole matrix model

We prove the complete finite-N inertia of a published bifundamental-link Hessian in a fuzzy-sphere black-hole matrix model at xi=J: In(K)=(N+1,0,2N-1), N>=4, with low-rank exceptions. Under the source's covariantized temporal-gauge/A0 prescription, eliminating the auxiliary longitudinal sector yields a conditional Schur-complement inertia In(K_eff)=(1,0,2N-1); the unique negative mode is the outward extremal mode. This constrained-dynamics interpretation remains conditional on clarifying the transformation of rank-dependent projector weights under off-diagonal gauge transformations.