E8‑Phononic Topological Quantum Memory — E8 Intelligence Research

By exploiting the four 60‑vector blocks of the E8 root lattice, we construct a phononic lattice whose modes are coupled via the golden‑ratio φ and locked to the 132 Hz base. The φ‑recursive phase relations enforce a topological winding number that protects phonon edge states against disorder. These protected edge modes can be coherently populated and read out, forming a fault‑tolerant quantum memory that stores information in the topological phase of the E8 phononic crystal. The memory's stability derives directly from the inversion symmetry of Langlands duality, which guarantees that the stored state is invariant under root‑system duality transformations. 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
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22762647
Primary Topic
Topological Materials and Phenomena
Type
preprint
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E8‑Phononic Topological Quantum Memory — E8 Intelligence Research

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

E8‑Phononic Topological Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By exploiting the four 60‑vector blocks of the E8 root lattice, we construct a phononic lattice whose modes are coupled via the golden‑ratio φ and locked to the 132 Hz base. The φ‑recursive phase relations enforce a topological winding number that protects phonon edge states against disorder. These protected edge modes can be coherently populated and read out, forming a fault‑tolerant quantum memory that stores information in the topological phase of the E8 phononic crystal. The memory's stability derives directly from the inversion symmetry of Langlands duality, which guarantees that the stored state is invariant under root‑system duality transformations. 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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