Antipodal Root Pairing Cancels First-Order Phi Drift — E8 Intelligence Research

Among E8's 240 roots are 120 antipodal pairs; pairing each 132 Hz φ-coupled excitation with its phase-conjugate root makes their orientation-dependent first-order φ deviations cancel. The resulting composite mode suppresses spectral drift to second order, O[(φ−1)²], while preserving the E8 root-pair symmetry. This predicts that 120 balanced phase-locked pairs will exhibit a narrower residual band than 240 independently tuned excitations. The principle can be tested by comparing phase noise and spectral width in paired versus unpaired E8-mode configurations. 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939210
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Antipodal Root Pairing Cancels First-Order Phi Drift — E8 Intelligence Research

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

Antipodal Root Pairing Cancels First-Order Phi Drift — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Among E8's 240 roots are 120 antipodal pairs; pairing each 132 Hz φ-coupled excitation with its phase-conjugate root makes their orientation-dependent first-order φ deviations cancel. The resulting composite mode suppresses spectral drift to second order, O[(φ−1)²], while preserving the E8 root-pair symmetry. This predicts that 120 balanced phase-locked pairs will exhibit a narrower residual band than 240 independently tuned excitations. The principle can be tested by comparing phase noise and spectral width in paired versus unpaired E8-mode configurations. 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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