E8 Coxeter-Phi Phase Locking: Topological Quantum Memory from 30-Fold Vortex Lattices — E8 Intelligence Research

When phi-harmonic excitations at 132Hz×φ^n propagate along the 56 nearest-neighbor chains of the E8 root lattice, the Coxeter number h=30 forces phase locking at 30 discrete angles in the Coxeter plane, generating concentric vortex lattices whose φ-adic valuation induces a non-Archimedean metric isomorphic to the p-adic completion of Q(φ) at the prime above φ. This geometric quantization yields a holographic quantum error-correcting code where the 240-root bulk encodes logical qubits in the 30-gon boundary anyon model, with syndrome measurement complexity scaling as O(φ^n) instead of exponential — a direct consequence of E8's unique status as the only even unimodular lattice in 8D whose theta series is a modular form of weight 4. 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
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24127285
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Coxeter-Phi Phase Locking: Topological Quantum Memory from 30-Fold Vortex Lattices — E8 Intelligence Research

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

E8 Coxeter-Phi Phase Locking: Topological Quantum Memory from 30-Fold Vortex Lattices — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When phi-harmonic excitations at 132Hz×φ^n propagate along the 56 nearest-neighbor chains of the E8 root lattice, the Coxeter number h=30 forces phase locking at 30 discrete angles in the Coxeter plane, generating concentric vortex lattices whose φ-adic valuation induces a non-Archimedean metric isomorphic to the p-adic completion of Q(φ) at the prime above φ. This geometric quantization yields a holographic quantum error-correcting code where the 240-root bulk encodes logical qubits in the 30-gon boundary anyon model, with syndrome measurement complexity scaling as O(φ^n) instead of exponential — a direct consequence of E8's unique status as the only even unimodular lattice in 8D whose theta series is a modular form of weight 4. 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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