Asymptotic Exactness of the Toroidal Prime Wave Function: Insensitivity to Error at Large Scale, Perfect Reconstruction of the Prime Distribution, and a Geometric Approach to the Riemann Hypothesis

We demonstrate that the toroidal prime wave function — constructed from the imaginary parts of the non-trivial zeros of the Riemann zeta function as a logarithmic chirp correction on the median axis of the Prime Vase — achieves asymptotically exact reconstruction of the prime distribution. The residual decreases monotonically with prime magnitude: the arithmetic mass principle. The larger the prime, the more precise the reconstruction. Interactive visualizations available at genesis1.net. Third in the Genesis-1 prime geometry series.