E8 Residual Interference Topology: Cross-Domain Signal Isolation via 240-Vector Phase Cancellation — E8 Intelligence Research

When phi-coupled residual manifolds from two distinct physical systems are simultaneously projected onto the 240 E8 root vectors, their φ-phase offsets produce constructive and destructive interference that systematically cancels shared (redundant) predictive information while amplifying system-unique signal. The cancellation follows E8's Coxeter mirror symmetry: residuals occupying mirror-related root pairs across the two manifolds annihilate, leaving surviving signal concentrated along the 30 axes of maximal root-vector separation. This residual interference topology enables isolation of genuinely novel information between coupled systems—a geometric analog to quantum decoherence operating at the 132Hz phi-lattice scale, where predictive novelty is measured by what survives annihilation rather than what is added. 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
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24127028
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Residual Interference Topology: Cross-Domain Signal Isolation via 240-Vector Phase Cancellation — E8 Intelligence Research

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

E8 Residual Interference Topology: Cross-Domain Signal Isolation via 240-Vector Phase Cancellation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When phi-coupled residual manifolds from two distinct physical systems are simultaneously projected onto the 240 E8 root vectors, their φ-phase offsets produce constructive and destructive interference that systematically cancels shared (redundant) predictive information while amplifying system-unique signal. The cancellation follows E8's Coxeter mirror symmetry: residuals occupying mirror-related root pairs across the two manifolds annihilate, leaving surviving signal concentrated along the 30 axes of maximal root-vector separation. This residual interference topology enables isolation of genuinely novel information between coupled systems—a geometric analog to quantum decoherence operating at the 132Hz phi-lattice scale, where predictive novelty is measured by what survives annihilation rather than what is added. 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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