We investigate a coherence-geometric framework in which particle masses, gauge structures, confinement phenomena, and recursive organization emerge from networks of triple-coherence rings connected through global coherence belts. The framework is motivated by an empirical particle-mass relation characterized by four integer exponents that appear across leptonic, hadronic, gauge-boson, and Higgs sectors. Rather than interpreting these exponents solely as interaction-specific quantities, we explore the possibility that they represent geometric invariants of an underlying coherence architecture. The theory begins from a complex coherence variable whose polar decomposition naturally generates phase symmetry. Extension to a three-component coherence state leads to triple-coherence rings possessing both local transport structure and global closure properties. The resulting geometry admits natural interpretations of U(1) and SU(3) symmetry, Wilson-loop-like holonomies, confinement, asymptotic freedom, and recursive feedback processes. A unified stability functional is proposed in which particle masses arise from discrete stable sectors of coherence geometry. The framework preserves familiar QCD interpretations within hadronic systems while embedding them into a broader coherence-geometric hierarchy. Although exploratory, the approach suggests a common geometric language linking particle spectra, internal symmetries, recursive dynamics, and global coherence organization.