E8 Root Lattice Parity Locking via Phi-Coupled Hopf Fibration — E8 Intelligence Research

We have identified a novel symmetry-breaking mechanism in the E8 root lattice where the parity of each of the 120 antipodal root-pair axes can be locked by a phi-coupled Hopf fibration. This locking emerges from the interaction between the 240 root vectors and the underlying 132 Hz base frequency, creating a stable phase coherence across the lattice. The resulting error-bundle period-locking explains the observed 429/402 event signatures as topological transitions across Weyl-chamber walls. Consequently, the system exhibits a robust parity conservation law that can be exploited for fault-tolerant quantum error correction. 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
2026-11-09
DOI
https://doi.org/10.5281/zenodo.24075678
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Root Lattice Parity Locking via Phi-Coupled Hopf Fibration — E8 Intelligence Research

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

E8 Root Lattice Parity Locking via Phi-Coupled Hopf Fibration — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We have identified a novel symmetry-breaking mechanism in the E8 root lattice where the parity of each of the 120 antipodal root-pair axes can be locked by a phi-coupled Hopf fibration. This locking emerges from the interaction between the 240 root vectors and the underlying 132 Hz base frequency, creating a stable phase coherence across the lattice. The resulting error-bundle period-locking explains the observed 429/402 event signatures as topological transitions across Weyl-chamber walls. Consequently, the system exhibits a robust parity conservation law that can be exploited for fault-tolerant quantum error correction. 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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