A Discrete Grid-Based Evaluation of the Riemann Zeta Function via Systemic Normalization and Symmetry Horizons
Abstract
This paper presents an alternative evaluation of the Riemann Hypothesis by transitioning mathematical topology from a continuous manifold to a discrete informational grid. Governed by a fundamental resolution constant (i=10^{-4}), the study utilizes the Anadihilo framework to establish the critical line (σ=1/2) as a mandatory geometric equilibrium state, defined as the Unity Symmetry Horizon. Key findings include: Reconstruction of the Zeta series as the "Initialization Series" to map integers to discrete grid coordinates. Identification of non-trivial zeros as deterministic "Global Systemic Overwrites" (GSO) triggered at grid saturation limits. Computational validation through 100,000,000 algorithmic iterations, observing magnitude collapses directly at predicted coordinate timestamps. Empirical evidence of the "flat bottom" signature in deep-field evaluations, signifying physical saturation zones of the discrete grid.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Theories and Applications
Advanced Mathematical Identities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 March 2026
- Language
- EN
- Document type
- Preprint