Triple-Coherence Rings and Coherence Belts A Geometric Interpretation of Particle Masses, Gauge Symmetry, Confinement, and Recursive Coherence Dynamics

We propose a geometric framework in which particle masses, gauge structures, and internal particle organization emerge from recursively realized triple-coherence rings connected through global coherence belts. The framework is motivated by a previously observed particle-mass relation involving a common exponent structure that appears across leptons, quarks, mesons, baryons, gauge bosons, and the Higgs sector. We investigate whether these exponents may represent geometric invariants of an underlying coherence network rather than counts of interaction-specific processes. A mechanical analogy involving three coupled gears and an enclosing coherence belt is introduced to visualize local coherence transport, global coherence loops, and recursive feedback processes. Within this interpretation, binary coherence polarization, local coherence-transfer structure, global coherence-loop organization, and recursive self-feedback become natural geometric descriptors of physical states. The framework further suggests intuitive geometric interpretations of confinement, asymptotic freedom, and gauge symmetry emergence. Although the proposed model remains exploratory, it provides a unified language connecting particle spectra, internal symmetries, recursive organization, and coherence geometry.