Paper 32: A Derivation of the Fusion Stability Limit from Scale-Relative Time

The primary obstacle to achieving controlled nuclear fusion is the inherent instability of magnetically confined plasma. Current approaches focus on suppressing these instabilities through engineering, treating them as chaotic phenomena to be tamed. This paper proposes a new paradigm derived from the first principles of Scale-Relative Time (SRT). We posit that a fusion plasma is a collective quantum system subject to fundamental resonance conditions. We introduce a dimensionless Plasma Resonance Parameter, Π, defined as the ratio of the plasma's thermal kinetic energy to its SRT-derived quantum confinement energy. Stability, we argue, is not accidental but a fundamental state achieved when Π is bounded by the SRT bare coupling constant, α_0. This leads to the derivation of a quantitative, falsifiable upper limit for the stable plasma temperature, T_max. For a deuterium-tritium plasma in a Tokamak-class magnetic field (5.3 T), we calculate T_max ≈ 1.02 keV. This result, which aligns with observed operational regimes, suggests that the pursuit of ever-higher temperatures drives plasmas into fundamentally unstable states. We conclude that the most viable path to fusion energy lies not in controlling chaos, but in tuning plasmas to operate within their natural, calculable "islands of stability."