PLI Technical Report: A Testable Working Hypothesis Linking Glueball Width to the Strong Coupling Constant

Abstract

This technical report proposes a testable working hypothesis within the Pure Locking Inference (PLI) framework: the strong coupling constant at the glueball scale is related to the glueball vacuum viscosity by α_s = 2πη_s, where η_s = Γ_glueball / (m_glueball c²). The proportionality between glueball decay width and vacuum viscosity is derived from PLI reasoning; the exact coefficient 2π is motivated by phase circulation normalization but is not yet derived from first principles. Using the experimental value α_s(M_Z) = 0.1179 ± 0.0010, the hypothesis predicts a glueball width of approximately 94 ± 5 MeV, consistent with the current measured value of 100 ± 20 MeV. The hypothesis is falsifiable: future precision measurements of the glueball width will determine whether the 2π coefficient is correct. Even if the hypothesis is excluded, the PLI core framework remains unaffected. 本技术报告在纯锁定推理(PLI)框架内提出一个可检验工作假设:胶球尺度上的强耦合常数与胶球真空粘性满足 α_s = 2πη_s,其中 η_s = Γ_glueball / (m_glueball c²)。胶球衰变宽度与真空粘性的正比关系由 PLI 推理导出;精确系数 2π 由相位环流归一化启发,但尚未从第一性原理严格推导。利用实验值 α_s(M_Z) = 0.1179 ± 0.0010,该假设预言胶球宽度约为 94 ± 5 MeV,与当前实验值 100 ± 20 MeV 一致。该假设可证伪,未来高精度测量将检验 2π 系数。即使假设被排除,PLI 核心框架不受影响。