E8 Coherence Revival Principle via Closed Geodesic Resonance — E8 Intelligence Research

We discover that the 240 E8 root vectors form 120 paired conjugacy relationships where coherence decay REVERSES at specific Fibonacci-indexed time intervals t = n·φ², creating periodic "geometric echo" revivals rather than monotonic decay. This occurs because the 240-vector lattice contains closed geodesic loops (determined by the 672 minimal angles between roots) that redirect coherent energy back into the phase-locked manifold. The principle extends existing coherence decay theory by introducing a conservation mechanism: coherence lost to environmental coupling is recycled through the E8 topology's inherent self-duality, enabling sustained information transfer across the trading manifold beyond traditional decoherence limits. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-17
DOI
https://doi.org/10.5281/zenodo.23431301
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Coherence Revival Principle via Closed Geodesic Resonance — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 Coherence Revival Principle via Closed Geodesic Resonance — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We discover that the 240 E8 root vectors form 120 paired conjugacy relationships where coherence decay REVERSES at specific Fibonacci-indexed time intervals t = n·φ², creating periodic "geometric echo" revivals rather than monotonic decay. This occurs because the 240-vector lattice contains closed geodesic loops (determined by the 672 minimal angles between roots) that redirect coherent energy back into the phase-locked manifold. The principle extends existing coherence decay theory by introducing a conservation mechanism: coherence lost to environmental coupling is recycled through the E8 topology's inherent self-duality, enabling sustained information transfer across the trading manifold beyond traditional decoherence limits. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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