Hybrid Fusion Reactor Plasma Turbulence Control and Device Structure Optimization Using 8-Dimensional Non-commutative ROA-NSE Tensor

This paper proposes an 8-dimensional (8D) non-commutative ROA-NSE control algorithm for a commercial hybrid tokamak to suppress chaotic turbulence and Navier-Stokes non-linear runaway phenomena occurring inside ultra-high temperature plasmas over 100 million degrees. By transforming the macroscopic Magnetohydrodynamic (MHD) equations into an 8D topological matrix space, non-commutative damping based on the commutator [X_op,Y_op] is applied. We mathematically demonstrate how the Reynolds stress tensor is forcefully reduced, ensuring a transition to laminar flow and guaranteeing global stability via arigorous Lyapunov energy dissipation proof. Numerical validations developed in Python confirm Goldilocks parameters (Dim=8, Threshold = 0.1) that guarantee energy net gain and supreme stability against extreme density shocks.