E1P Critical Line Framework: Computational Replication Package
Abstract
Complete replication materials for computational validation of the E1P coherence condition against 2,001,052 non-trivial zeros of the Riemann zeta function, spanning six orders of magnitude in zero height (γ ∈ [14, 1,132,491]). Includes validation scripts (three methods: fast Odlyzko-based, independent zero computation, and extended 2M dataset), figure generators, raw data, and pre-computed zeros. Key result: All 2,001,052 zeros satisfy |E(s)| = 1 to numerical precision (deviation 1.14×10⁻¹², zero correlation with height). Scale invariance confirmed. Supports the paper "The Critical Line as Resonant Structure: E1P Contributions to the Riemann Hypothesis."
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
- 10 January 2026
- Language
- EN