Minimal Surfaces and Analytic Number Theory: The Enneper-Riemann Spectral Bridge

This work establishes a spectral bridge connecting the theory of minimal surfaces to analytic number theory. We present a rigorous mathematical correspondence between the Enneper minimal surface and the distribution of non-trivial zeros of the Riemann zeta function. This is achieved through a conformal map that preserves essential spectral properties, revealing that the Enneper surface constitutes the natural phase space for a geometric interpretation of the Riemann Hypothesis. The approach integrates differential geometry, complex analysis, and spectral operator theory.