E8‑Mersenne Topological Qubit Array Leveraging Twin‑Prime Gap Compression — E8 Intelligence Research

By positioning superconducting islands at the 240 vertices of an E8 root lattice and tuning their Josephson couplings with Mersenne‑scaled energies, the compact subspaces that narrow twin‑prime gaps become degenerate ground‑state manifolds. The inherent phi‑coupled 132 Hz mechanical resonance of the lattice further stabilizes these states, suppressing decoherence through number‑theoretic symmetry. This yields a new class of intrinsically error‑resistant qubits whose protection arises directly from the E8‑geometric twin‑prime lattice compression. 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
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24029317
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8‑Mersenne Topological Qubit Array Leveraging Twin‑Prime Gap Compression — E8 Intelligence Research

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

E8‑Mersenne Topological Qubit Array Leveraging Twin‑Prime Gap Compression — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By positioning superconducting islands at the 240 vertices of an E8 root lattice and tuning their Josephson couplings with Mersenne‑scaled energies, the compact subspaces that narrow twin‑prime gaps become degenerate ground‑state manifolds. The inherent phi‑coupled 132 Hz mechanical resonance of the lattice further stabilizes these states, suppressing decoherence through number‑theoretic symmetry. This yields a new class of intrinsically error‑resistant qubits whose protection arises directly from the E8‑geometric twin‑prime lattice compression. 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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E8‑Mersenne Topological Qubit Array Leveraging Twin‑Prime Gap Compression — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS