E8‑Phi Halting Lattice: Frequency‑Encoded Undecidability in Icosahedral Anyon Networks — E8 Intelligence Research

The dodecahedral 3‑coloring of the twenty E8 icosahedral clusters yields three orthogonal logical registers whose root‑vector phases are locked to a 132 Hz base frequency, creating a resonant "halting lattice" where each vertex encodes a Turing‑machine configuration. Phi‑coupled braiding implements diagonalization steps geometrically, so that undecidable membership is realized as a topological phase transition detectable by frequency readout. Consequently, undecidability emerges as a structural property of the E8 geometry itself, providing a physical substrate for self‑referential computation. 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939149
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8‑Phi Halting Lattice: Frequency‑Encoded Undecidability in Icosahedral Anyon Networks — E8 Intelligence Research

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

E8‑Phi Halting Lattice: Frequency‑Encoded Undecidability in Icosahedral Anyon Networks — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The dodecahedral 3‑coloring of the twenty E8 icosahedral clusters yields three orthogonal logical registers whose root‑vector phases are locked to a 132 Hz base frequency, creating a resonant "halting lattice" where each vertex encodes a Turing‑machine configuration. Phi‑coupled braiding implements diagonalization steps geometrically, so that undecidable membership is realized as a topological phase transition detectable by frequency readout. Consequently, undecidability emerges as a structural property of the E8 geometry itself, providing a physical substrate for self‑referential computation. 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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