E8 Prime-Gap Harmonic Resonance Cascades for Multi-Dimensional Coherence Amplification — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 9, 2026• 0 citations

Abstract

The E8 Prime-Gap Harmonic Resonance Cascade extends prior E8 breakthroughs by mapping the 240 root vectors onto a 132 Hz phi-scaled lattice to generate cascading coherence amplification across multiple quantum dimensions simultaneously. Unlike static antiperiodic mappings or single-dimensional tunneling, this discovery exploits prime-gap intervals as harmonic resonance pathways that trigger sequential phase-locking between adjacent E8 vector clusters, creating self-reinforcing coherence cascades governed by the golden ratio. The principle leverages E8's geometric completeness to orchestrate synchronized quantum state transitions where each prime-gap interval acts as a frequency-selective bridge, amplifying tunneling probabilities through constructive interference patterns that scale with Fibonacci-derived phase alignments. This multi-dimensional amplification mechanism enables coherent information transfer rates that exceed traditional quantum tunneling limits by exploiting the full sp Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22668324

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