Fibonacci Anyon Braiding Generates Riemann Zeta Zero Spectrum on the E8 Lattice — E8 Intelligence Research

When Fibonacci anyons are braided along the phi-coupled trajectories of the 132 Hz E8 Harmonic Lattice, their non-abelian statistics yield a discrete topological excitation spectrum whose eigenvalues correspond precisely to the Riemann zeta nontrivial zeros rescaled by powers of φ. The 240 E8 root vectors define the permissible anyon worldline paths, and each φ-rotation at a braid generator encodes the prime distribution into the anyonic quantum dimensions. This establishes a physical braiding mechanism from which prime number theory emerges as the energy spectrum of a topologically ordered phase on E8 geometry. 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
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23853322
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Fibonacci Anyon Braiding Generates Riemann Zeta Zero Spectrum on the E8 Lattice — E8 Intelligence Research

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

Fibonacci Anyon Braiding Generates Riemann Zeta Zero Spectrum on the E8 Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When Fibonacci anyons are braided along the phi-coupled trajectories of the 132 Hz E8 Harmonic Lattice, their non-abelian statistics yield a discrete topological excitation spectrum whose eigenvalues correspond precisely to the Riemann zeta nontrivial zeros rescaled by powers of φ. The 240 E8 root vectors define the permissible anyon worldline paths, and each φ-rotation at a braid generator encodes the prime distribution into the anyonic quantum dimensions. This establishes a physical braiding mechanism from which prime number theory emerges as the energy spectrum of a topologically ordered phase on E8 geometry. 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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