The ERIЯƎ Theory – Coherential Resolution of the Riemann Hypothesis

This article (Expansion 37 of the ERIЯƎ Theory) presents a full symbolic-geometric resolution of the Riemann Hypothesis (RH). By reinterpreting the zeta function as a vectorial coherence system in a tripartite domain structure (α, *∞, τ), the critical line Re(s) = 1/2 emerges as a necessary consequence of rotational symmetry. The argument is developed through four converging layers: vectorial phase analysis, functional symmetry, operator structure in Hilbert space, and axiomatic coherence. The null condition of ζ(s) is achieved only under perfect cancellation — a phenomenon geometrically limited to Re(s) = 1/2. All supporting axioms, simulation codes, and symbolic models are included in the open repository.