H∞(20) Spectral Simulation for Riemann Zeta Function Analysis

This repository contains the numerical simulation and spectral comparison between a truncated 20×20 operator matrix $\mathcal{H}_\infty^{(20)}$ and the imaginary parts of the first 15 nontrivial zeros of the Riemann zeta function $\zeta(s)$.

Contents

• simulate_Hinfty20.py: Python script to generate the 20×20 operator and compute eigenvalues.
• H_infty_20_vs_zeta.csv: CSV file comparing the computed eigenvalues to known zeta zeros.

Purpose

This simulation supports the theoretical framework presented in the paper:

Spectral Realization of the Nontrivial Zeros of the Riemann Zeta Function via a Hermitian Operator Framework

It approximates the operator spectrum using components derived from:

• Discrete Geometric Quantum Gravity (DGQG)
• Multifaceted Coherence (MC)
• Infinity Algebra

Reproducibility

To reproduce the results:

python simulate_Hinfty20.py