An A Priori Arithmetic Spectrum Model of Riemann Non-Trivial Zeros via Quasicrystal Cut-and-Project Beatty Decomposition over Qp

Let γm denote the imaginary components of the non-trivial zeros of the Riemann zeta function ζ (s). Traditional analytic number theory approaches these spectral values within the smooth complex plane C. However, Archimedean completeness introduces topological smooth- ness that inherently conflicts with the discrete, p-adic structure of the prime distribution. Fur- thermore, any prior attempts to match these values using discrete lattices have introduced circular logic, requiring empirical zero values (γm ) as inputs to calibrate their selection rules. Under global adelic fusion conditions over the idele class group, numerical simulations up to m = 30, 000 demon- strate an asymptotic phase-locking mechanism wherein projection artifacts self-extinguish at higher energy states, yielding a global average error rate of 0.0038%.