An Effective Acoustic-Magnetic Metric Framework for Plasma Stabilization and Transport Barrier Formation in Tokamaks

Controlling micro-turbulence and plasma collapse in magnetic confinement fu- sion devices typically relies on high-power heating and massive confinement mag- netic fields (brute-force approach). As an independent extension of our foundational cosmological framework, this research translates the geometric principles into an ef- fective Analogue/Acoustic Metric concerning plasma dynamics and the formation of Internal Transport Barriers (ITB). By mapping the Shteim curvature density tensor to plasma-native quantities, we derive a dimensionless instability boundary termed the Braking Wall Parameter (KShteim). This parameter quantitatively pre- dicts ITB formation and provides a direct numerical threshold matching operational discharge data from the EAST tokamak.