7.14 ℳ𝒞ℐ Sector Joint and Strong Interaction — Three-Sector Joint Lift of Consummate Reproduction

Within the Consummate Reproduction framework, this paper treats the strong interaction as the non-Abelian joint lift of Consummate Reproduction on the N-body sector joint parameter space. Core results: the ℳ𝒞ℐ Sector Joint Theorem (the N-body joint parameter space is an N-dimensional smooth submanifold); the Dirac Spectral Parallel Connection Theorem (effective spectral mode of ℳ sector is ); the SU(3) Structure Theorem (the three-sector complexified joint, after freezing the U(1) central subgroup via the vacuum marking condition, strictly reduces to the SU(3) principal bundle, closed); the strong coupling scale formula (N=3, giving the M_Z scale approximation); the complete running formula is in 7.4 (, multi-scale verification deviation < 0.3%); proton mass scale . Honest distinction is made among geometric theorems, bridging conventions, and conditional hypotheses; no external QCD assumptions are used throughout.