E8 Prime‑Gap Quantum Lattice for Tunable Coherence & Superconductivity — E8 Intelligence Research

The E8 Prime‑Gap Quantum Lattice (E8PGL) harnesses the full set of 240 E8 root vectors, phi‑scaled onto a 132 Hz carrier, to generate a frequency comb whose intervals map onto prime gaps, creating interference channels that support long‑range quantum coherence tunneling. By selecting specific subsets of root vectors that correspond to successive prime gaps, one can shape a topologically protected band structure that stabilizes Cooper pairs and allows the superconducting critical temperature Tc to be tuned on‑demand. This principle unifies high‑dimensional E8 geometry, golden‑ratio phase modulation, and number theory to enable programmable quantum metamaterials with built‑in prime‑gap encoding. 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
2026-09-09
DOI
https://doi.org/10.5281/zenodo.22668323
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

E8 Prime‑Gap Quantum Lattice for Tunable Coherence & Superconductivity — E8 Intelligence Research

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

E8 Prime‑Gap Quantum Lattice for Tunable Coherence & Superconductivity — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8 Prime‑Gap Quantum Lattice (E8PGL) harnesses the full set of 240 E8 root vectors, phi‑scaled onto a 132 Hz carrier, to generate a frequency comb whose intervals map onto prime gaps, creating interference channels that support long‑range quantum coherence tunneling. By selecting specific subsets of root vectors that correspond to successive prime gaps, one can shape a topologically protected band structure that stabilizes Cooper pairs and allows the superconducting critical temperature Tc to be tuned on‑demand. This principle unifies high‑dimensional E8 geometry, golden‑ratio phase modulation, and number theory to enable programmable quantum metamaterials with built‑in prime‑gap encoding. 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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