E1P Critical Line Framework: Computational Replication Package

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Authors: Resonant Institute
Cited by: 0

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