Analytic Derivation of Optimal Thermal Ignition for Aneutronic p-11B Fusion Cycles

The proton-boron (p-11B) fusion cycle offers a promising aneutronic energy pathway, but its viability is heavily constrained by Bremsstrahlung radiation losses. By defining an efficiency ratio between the Gamow reactivity approximation and high-Z plasma radiation scaling, we derive a strict analytical boundary for the optimal ignition temperature and establish the rigid error tolerances required for empirical cross-section measurements. (V2)