Coherent Selection of Critical Kasner Response

Abstract

A coherent wave component with extremely small initial self-energy can substantially change the first response of a contracting spacetime. We demonstrate this effect in Einstein--Maxwell--scalar theory with two commuting spacelike Killing fields. Along a critical family motivated by scalarized black-hole interiors, the estimated magnetic delay leaves time for longitudinal propagation to redistribute the incident field. Increasing a low-frequency component at fixed initial electromagnetic energy enhances the scalar response on one background and suppresses it on another. A calculation that propagates the field and its momentum, then their quadratic scalar and geometric sources, predicts this reversal before nonlinear evolution. At the first suppression comparison, the coherent profile error is $0.38\%$, against $46.9\%$ when cross terms are omitted. The selected response develops into a magnetic pulse with electric and scalar exchange. The critical geometry thus preserves incident coherence as information that predicts its first departure from a Kasner epoch.