STNT Vol.1 - Chapter 4: Spectral Representation of STNT: The First Geometric Structure Linking to Riemann Zeros (Preprint)

This preprint presents Chapter 4 of STNT Vol.1: The 3×3 Causal Core and Quantum Architecture by Ehab Ramkh. Chapter 4 provides the complete spectral representation of the STNT framework, establishing the first geometric structure directly linked to the Riemann zeros. This chapter includes: 1. Formal definition of the STNT Adjacency Operator and proof of Hermiticity from topology2. The complete 36-eigenvalue spectrum, partitioned into three bands: Trivial, Fracture, and Non-trivial3. Numerical experiments demonstrating band formation and correspondence to distinct Riemann zeros4. Reproducible Python code for all experiments5. Scaling evidence via the 25-Cell Operator (N=25) and convergence analysis The numerical results in Section 5.3 demonstrate that the 18 non-trivial eigenvalues correspond to the first 9 Riemann zero attractors with high numerical precision. This chapter is part of the larger STNT Vol.1 framework. The full book will be published commercially on Amazon KDP. This DOI establishes priority for the spectral methods and numerical results contained herein. Related to: https://doi.org/10.5281/zenodo.19587559