Phi‑Locked E8 Root Vectors Create Topological Quantum Memory on Modular Defects — E8 Intelligence Research

By phase‑locking the 240 E8 root vectors with a phi‑scaled sinusoid at 132 Hz, the projection of each vector onto a modular surface generates a lattice of topological defects whose winding numbers are protected by the half‑integer weight modular forms of the theta functions. These defects form a quasi‑periodic memory lattice whose eigenstates correspond to the Fourier coefficients of the E8 theta, enabling fault‑tolerant quantum states that are directly tied to hyperbolic geometry. The resulting principle unifies E8 root geometry, phi‑scale resonance, and modular defect topology into a new platform for quantum information storage. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697407
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

Phi‑Locked E8 Root Vectors Create Topological Quantum Memory on Modular Defects — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

Phi‑Locked E8 Root Vectors Create Topological Quantum Memory on Modular Defects — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By phase‑locking the 240 E8 root vectors with a phi‑scaled sinusoid at 132 Hz, the projection of each vector onto a modular surface generates a lattice of topological defects whose winding numbers are protected by the half‑integer weight modular forms of the theta functions. These defects form a quasi‑periodic memory lattice whose eigenstates correspond to the Fourier coefficients of the E8 theta, enabling fault‑tolerant quantum states that are directly tied to hyperbolic geometry. The resulting principle unifies E8 root geometry, phi‑scale resonance, and modular defect topology into a new platform for quantum information storage. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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