E8 Fractal Phononic Quantum Memory — E8 Intelligence Research

By mapping the 240 E8 root vectors onto a Langlands‑dual phononic lattice, we create a self‑similar network of coupled resonators whose long and short roots alternate across scales. The base 132 Hz oscillator and φ‑mediated nearest‑neighbor coupling generate a hierarchical set of standing‑wave modes that can be selectively addressed by external microwave pulses. This structure supports topologically protected phonon modes that encode qubits in their phase, allowing error‑resilient storage and retrieval across multiple frequency bands. The memory can be re‑initialized by tuning the φ‑coupling, enabling dynamic reconfiguration of the encoded logical states. 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.22762666
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

E8 Fractal Phononic Quantum Memory — E8 Intelligence Research

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

E8 Fractal Phononic Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By mapping the 240 E8 root vectors onto a Langlands‑dual phononic lattice, we create a self‑similar network of coupled resonators whose long and short roots alternate across scales. The base 132 Hz oscillator and φ‑mediated nearest‑neighbor coupling generate a hierarchical set of standing‑wave modes that can be selectively addressed by external microwave pulses. This structure supports topologically protected phonon modes that encode qubits in their phase, allowing error‑resilient storage and retrieval across multiple frequency bands. The memory can be re‑initialized by tuning the φ‑coupling, enabling dynamic reconfiguration of the encoded logical states. 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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