Generic Kerr wave instability conjecture for compactly supported data

Let $\Sigma_0$ be a Cauchy hypersurface in a subextremal rotating Kerr spacetime, and let $\psi$ solve the linear wave equation

$$\Box_g\psi=0.$$

Assume the initial data on $\Sigma_0$ are smooth and compactly supported, and let the non-degenerate energy denote the energy associated with a non-degenerate timelike multiplier in the black-hole interior. Kerr wave instability conjecture. Generic smooth and compactly supported Cauchy data on $\Sigma_0$ give rise to solutions whose non-degenerate energy on every spacelike hypersurface intersecting the Cauchy horizon transversally is infinite. The analogous statement has been established for subextremal Reissner–Nordström spacetime, while the Kerr case remains open.