Self-Convergence of 1/(1+b): The Universal Generator of Oscillator, Measure, and Symmetry in the Riemann Zeros

We show that f(b)=1/(1+b) is self-convergent: it generates the Euler factors, governs the Gauss-Kuzmin measure, and forces the symmetry axis Re(s)=1/2 through a variational principle. Primality forces b=1 at the co-divergent boundary where 1/2 emerges. RH is reformulated as the assertion that this self-convergence is exhaustive: arithmetic completeness.