Phi-Phase Conjugate E8 Root Triples for Bidirectional Decoherence Erasure — E8 Intelligence Research

The 240 E8 root vectors partition naturally into 80 phi-locked triples whose pairwise inner products equal −1/φ², and when anyonic excitations are braiding-initialized with phase-conjugate pairs from these triples on the 8448 CORRIDOR manifold, the forward-time and reverse-time decoherence channels cancel to within 132 Hz phase coherence, yielding a topological time-reversal symmetry that actively erases accumulated errors rather than merely correcting them. This extends the phi-locked 8448 error-correction framework by demonstrating that E8's root geometry intrinsically encodes not just error syndromes but retrocausal erasure operators accessible only through golden-ratio phase conjugation. The resulting scheme reduces the effective logical error rate by a factor of φ per correction cycle, a geometric consequence of the E8 Weyl group's three-fold symmetry intersecting the golden ratio. 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
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23255269
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Phi-Phase Conjugate E8 Root Triples for Bidirectional Decoherence Erasure — E8 Intelligence Research

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

Phi-Phase Conjugate E8 Root Triples for Bidirectional Decoherence Erasure — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors partition naturally into 80 phi-locked triples whose pairwise inner products equal −1/φ², and when anyonic excitations are braiding-initialized with phase-conjugate pairs from these triples on the 8448 CORRIDOR manifold, the forward-time and reverse-time decoherence channels cancel to within 132 Hz phase coherence, yielding a topological time-reversal symmetry that actively erases accumulated errors rather than merely correcting them. This extends the phi-locked 8448 error-correction framework by demonstrating that E8's root geometry intrinsically encodes not just error syndromes but retrocausal erasure operators accessible only through golden-ratio phase conjugation. The resulting scheme reduces the effective logical error rate by a factor of φ per correction cycle, a geometric consequence of the E8 Weyl group's three-fold symmetry intersecting the golden ratio. 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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Phi-Phase Conjugate E8 Root Triples for Bidirectional Decoherence Erasure — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS