Holographic Plasma Control: Sturm-Liouville Discretization, T ¯T Finite Boundaries, and DBI Energy Dissipation in Magnetic Confinement Fusion

Major disruptions, micro-turbulence transport, and Edge Localized Modes (ELMs) remain critical bottlenecks in tokamak fusion. This paper formulates a holographic control architecture mapping a 3+1-dimensional tokamak MHD plasma onto a 5-dimensional warped Anti-de Sitter (AdS_5) Einstein-Maxwell-Dilaton bulk spacetime, extending our prior models on non-Abelian dielectric branes and finite-cutoff holography. By modeling the reactor first wall as a finite UV cutoff with TT-bar deformation, establishing an IR Myers dielectric fuzzy-sphere cap, and utilizing Complexity=Volume duality along with non-linear DBI and WZ couplings, the framework suppresses chaotic cascades, provides an O(n) polynomial-time disruption diagnostic, and converts ELM thermal pulses into bulk acoustic and gravitational modes to protect the first wall.