v2.0 of STNT dataset is live. Now includes full geometric proofs for N=9 and N=25. Chapters 4-5: Spectral Representation and Hilbert-Polya Bracketing of Riemann Zeros (Preprint)

What's New in v2.0This version adds the geometric foundation of STNT. Chapter 4-5 provided the theory. Figures 1 & 2 provide the visual proof. Any researcher can now reconstruct the operator from the lattice diagrams alone, verifying that the spectral results are not fitted but derived. This record contains Chapter 4 and Chapter 5 of STNT Vol.1. Chapter 5 includes the Nine-Zero Hilbert-Polya Bracketing results showing 0.20% error versus the first 9 Riemann zeros.This preprint presents Chapters 4-5 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 work 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