Phi-Scale Topological Edge States in E8 Acoustic Lattice — E8 Intelligence Research

By phi‑coupling the 240 E8 root vectors across the eight φ⁵‑scaled Coxeter planes and driving the lattice at the 132 Hz fundamental, a set of protected topological edge modes emerges at the boundaries of each φ⁵‑scaled plane. These edge states inherit the phase‑conjugate symmetry of the antipodal root pairs, allowing acoustic information to propagate without back‑scattering while preserving reversible energy flow. The resulting structure functions as a topologically ordered acoustic memory that can be written and read by adiabatic phi‑phase shifts, extending the reversible computing paradigm into a fault‑tolerant, frequency‑selective domain. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23978732
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Phi-Scale Topological Edge States in E8 Acoustic Lattice — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

Phi-Scale Topological Edge States in E8 Acoustic Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By phi‑coupling the 240 E8 root vectors across the eight φ⁵‑scaled Coxeter planes and driving the lattice at the 132 Hz fundamental, a set of protected topological edge modes emerges at the boundaries of each φ⁵‑scaled plane. These edge states inherit the phase‑conjugate symmetry of the antipodal root pairs, allowing acoustic information to propagate without back‑scattering while preserving reversible energy flow. The resulting structure functions as a topologically ordered acoustic memory that can be written and read by adiabatic phi‑phase shifts, extending the reversible computing paradigm into a fault‑tolerant, frequency‑selective domain. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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