A Discrete Grid-Based Evaluation of the Riemann Zeta Function via Systemic Normalization and Symmetry Horizons

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Authors: Nitin Dagar
Cited by: 0

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