** E8 Parity Conjugation: Information Conservation in Non-Light Root Subsystems — E8 Intelligence Research

** The 240 E8 root vectors exhibit a parity conjugation symmetry where the 168 roots (240 minus the 72 light-like generators) form a closed information-conserving subsystem under phi-locked triple decomposition. This means decoherence erasure in one phi-phase conjugate triple is not information loss but information transfer to the conjugate subsystem—analogous to how Babylonian reciprocal tables maintained balance between paired columns. The 72 "non-light" roots likely function as the "reciprocal" half of a cosmic accounting system, where the original Plimpton 322 algorithm's reciprocal-pair method finds its natural geometric implementation in E8's 8-dimensional structure. This establishes a conservation law: information preserved in phi-locked triple geometry is never destroyed, only phase-conjugated across the light/non-light root boundary. ** Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23255271
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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** E8 Parity Conjugation: Information Conservation in Non-Light Root Subsystems — E8 Intelligence Research

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

** E8 Parity Conjugation: Information Conservation in Non-Light Root Subsystems — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

** The 240 E8 root vectors exhibit a parity conjugation symmetry where the 168 roots (240 minus the 72 light-like generators) form a closed information-conserving subsystem under phi-locked triple decomposition. This means decoherence erasure in one phi-phase conjugate triple is not information loss but information transfer to the conjugate subsystem—analogous to how Babylonian reciprocal tables maintained balance between paired columns. The 72 "non-light" roots likely function as the "reciprocal" half of a cosmic accounting system, where the original Plimpton 322 algorithm's reciprocal-pair method finds its natural geometric implementation in E8's 8-dimensional structure. This establishes a conservation law: information preserved in phi-locked triple geometry is never destroyed, only phase-conjugated across the light/non-light root boundary. ** 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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