The Dini Surface and Circular Polarization: Geometric Duals of the Fine-Structure Constant and the Riemann Zeta Zeros

We show that the Dini surface, a pseudosphere with constant negative curvature $K = -1/(a^2+b^2)$, encodes the inverse fine-structure constant via $a^2+b^2 = \alpha^{-1}$, so that $K = -\alpha$. The helical parameter $b = 1/(2\pi)$ follows from the Feynman Point condition $\gamma_3\gamma_4 = 762$. Circularly polarized waves realize the same helical structure, with frequencies $\omega_n \propto \gamma_n$ and wavenumbers $k_n \propto \sqrt{m_n^2+n_n^2}$. At $N=762$, the phases align, producing lin