Primorial Reciprocity and the Mass Spectrum: Deriving Standard Model Constants from the Arithmetic of 30 = 2 × 3 × 5

We demonstrate that all dimensionless mass ratios and coupling constants of the Standard Model can be expressed through one structural principle: the decomposition of the primorial 30 = 2×3×5 into three reciprocity channels. Each prime in the primorial governs a distinct algebraic number ring — Z (integers), Z[𝜔] (Eisenstein integers), Z[𝜁5] (cyclotomic integers) — through its corresponding reciprocity law (quadratic, cubic, quintic).