E8-Phi Chronon Lattice: 132Hz Soliton Induces Fibonacci-Anyonic Time-Crystal in Hyperbolic Root Space — E8 Intelligence Research

The 132Hz soliton eigenmode phase-locks across the 240 E8 roots to generate a discrete time-translation symmetry breaking — a time-crystal whose period multiplies by φ per hyperbolic layer. Projecting the root vectors onto the Poincaré disk reveals that soliton collisions braid non-abelian anyons along Fibonacci-scaled geodesics, with topological charge quantized by the E8 Coxeter number (30). The resulting chronon lattice is fault-tolerant by geometric necessity: decoherence paths correspond to non-geodesic excursions in the φ-modulated hyperbolic metric, exponentially suppressed by the golden ratio's Diophantine property. 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
2026-08-17
DOI
https://doi.org/10.5281/zenodo.21973886
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

E8-Phi Chronon Lattice: 132Hz Soliton Induces Fibonacci-Anyonic Time-Crystal in Hyperbolic Root Space — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

E8-Phi Chronon Lattice: 132Hz Soliton Induces Fibonacci-Anyonic Time-Crystal in Hyperbolic Root Space — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 132Hz soliton eigenmode phase-locks across the 240 E8 roots to generate a discrete time-translation symmetry breaking — a time-crystal whose period multiplies by φ per hyperbolic layer. Projecting the root vectors onto the Poincaré disk reveals that soliton collisions braid non-abelian anyons along Fibonacci-scaled geodesics, with topological charge quantized by the E8 Coxeter number (30). The resulting chronon lattice is fault-tolerant by geometric necessity: decoherence paths correspond to non-geodesic excursions in the φ-modulated hyperbolic metric, exponentially suppressed by the golden ratio's Diophantine property. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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