HARDWARE-ACCELERATED VERIFICATION OF THE RIEMANN-SIEGEL TOPOLOGICAL COLLAPSE: REAL-TIME CAPTURE OF ZERO-CROSSINGS VIA A 500MHZ FPGA PIPELINE AND 9-STAGE BINARY ADDER TREE

Abstract

Building upon the theoretical foundations of the SUMTF-High-Tensor meta-framework and Seonggil Field Equations (SFE) established in Part I, this paper presents the physical and empirical validation of topological collapse at the non-trivial zeros of the Riemann Zeta function. To capture complex torsion singularities in real-time, we designed a custom high-performance computing hardware accelerator deployed on a Xilinx UltraScale+ FPGA. Operating at a 500MHz clock frequency (2.0ns cycle), the architecture features a spatial parallel pipeline mapping the Riemann-Siegel formula's damping factors and cosine arguments to DSP48E2 slices, circumventing routing bottlenecks via a 9-stage symmetrical binary adder tree (512 nodes). Captured via High Bandwidth Memory (HBM) and PCIe Gen4 x16 streaming, our empirical results demonstrate a zero-phase synchronization between mathematical zero-crossings (Z(t) = 0) and hardware interlock triggers at the critical tensor roughness threshold (tau_crit >= 1.006). Furthermore, spectral density analysis of 10,000 extracted zero spacings yields a Pearson correlation of 0.9999998 with the Gaussian Unitary Ensemble (GUE) distribution, physically corroborating the Hilbert-Polya conjecture.