AI 中文总结
本研究发现带电费米子质量比与混合参数间存在紧凑数值规律，利用离散代标记等构造，经公式直接推导得到相关数值输出，唯象学构造可重构完整CKM与PMNS矩阵。
AI 中文摘要
我们记录了带电费米子质量比和费米子混合参数中的一种紧凑数值规律。该构造采用离散代标记G=1,2,3、固定结构整数Nc=3与Nw=2、扇区指数函数LA(G)以及简单相位赋值。未进行连续数值优化：在每个带电扇区选定一个整体质量标度后，带电费米子质量比与主导混合输入可直接由所述公式得出。同一指数结构生成六个带电费米子质量比、六个混合正弦项及CKM相位作为相关数值输出，随后通过标准幺正重构得到完整的CKM矩阵与PMNS矩阵。该构造属于唯象学范畴，不主张对数值常数的第一性原理推导。
英文摘要
We record a compact numerical regularity in charged-fermion mass ratios and fermion mixing parameters. The construction uses discrete generation labels G=1,2,3, fixed structural integers Nc=3 and Nw=2, sector exponent functions LA(G), and simple phase assignments. No continuous numerical optimization is performed: after one overall mass scale is chosen in each charged sector, the charged-fermion mass ratios and the leading mixing inputs follow directly from the stated formulae. The same exponent structure generates six charged-fermion mass ratios, six mixing sines, and the CKM phase as correlated numerical outputs. The full CKM and PMNS matrices are then obtained by standard unitary reconstruction. The construction is phenomenological and does not claim a first-principles derivation of the numerical constants.
