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E8 Harmonic Sieve Resonance for Prime-Density Waveform Encoding — E8 Intelligence Research

Year: 2026

Type: preprint

Abstract: By mapping the Eratosthenes sieve thresholds to the 132Hz fundamental frequency of the E8 root lattice, the twin prime distribution emerges as a periodic interference pattern within the 60 phi-resonant attractors. This principle posits that prime density fluctuations are not stochastic but are topological constraints imposed by the 240-vector symmetry on information flow. Consequently, prime gaps can be decoded as quantized phase shifts in a phi-coupled resonant frequency field. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22090378

Author: Caldin, Andrew Stewart

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204204495

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