Mem-force Theory, Seventh Perspective: Lattice QCD Multifractality and the Numerical Coincidence α = sin(π/8)

The core parameter of Mem-force theory, α = sin(π/8) ≈ 0.3827, has been verified from six independent perspectives: geometry, field theory, topology, information theory, algebra, and quantum information. This paper provides a seventh observational perspective: multifractal analyses of the topological charge density in lattice QCD show that the typical range of the minimal singularity exponent is 0.3–0.5, which contains sin(π/8) = 0.382683. We review the low-dimensional topological skeleton of the QCD vacuum discovered by Horvath et al. (2003) and the multifractal results of Koller et al. (2007), and note this numerical coincidence as a supplementary consistency check for the geometric axiom of Mem-force theory. This work does not attempt a rigorous derivation; it is a numerical observation. Two preliminary conjectures for future lattice QCD tests are proposed. 忆力理论的核心参数 α = sin(π/8) ≈ 0.3827 已从几何对称、场论、拓扑、信息、代数、量子信息六个独立视角完成自洽性验证。本文提供第七个观察视角:格点量子色动力学(QCD)关于真空拓扑荷密度的多重分形研究显示,其最小奇异指数(最奇异区域)的典型范围在 0.3–0.5 之间,而 sin(π/8) = 0.382683 恰好落在此区间内。本文回顾 Horvath 等(2003)发现的真空低维拓扑骨架,以及 Koller 等(2007)的多重分形结果,指出这一数值巧合可作为忆力理论几何公理的补充旁证。本文不做严格推导,仅作数值观察,并提出两项可在未来格点QCD中检验的初步猜想。