Self-Convergence of 1/(1+b): The Universal Generator of Oscillator, Measure, and Symmetry in the Riemann Zeros
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.
variational principle, MSC 11A55, continued fractions, MSC 11K50, Riemann Hypothesis, Euler product, critical line, Lévy constant, prime oscillators, MSC 11M26, primality, MSC 11M06, self-convergence, Riemann zeta function, Gauss-Kuzmin measure, arithmetic completeness
variational principle, MSC 11A55, continued fractions, MSC 11K50, Riemann Hypothesis, Euler product, critical line, Lévy constant, prime oscillators, MSC 11M26, primality, MSC 11M06, self-convergence, Riemann zeta function, Gauss-Kuzmin measure, arithmetic completeness
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