The Golden Closure: Why the Riemann Zeta Function Has No Off-Line Zeros

We present a proof framework for the assertion that the non-trivial zeros of the Riemann zeta function admit no solutions with Re(s) ≠ ½, with one explicit open lemma named in §6.5. The framework rests on three independently established constraints, each derived from the golden ring ℤ[φ] where φ = (1 + √5)/2. Norm symmetry (Papers 125–126, 129): the golden conjugates φ and ψ are growth and decay solutions of the same equation x² = x + 1; at σ = Re(φ) = ½, they coexist at equal strength, coupling the real and imaginary vanishing conditions into a single structural equation. Fibonacci rigidity (Papers 126, 129): the Dirichlet coefficients c(n) are counting numbers determined by the Hecke recurrence in ℤ[φ],…