E8‑Phased Topological Quantum Memory via 240‑Mode Hopf Synchronization — E8 Intelligence Research

By assigning each of the 240 E8 root vectors to a distinct Hopf fiber in the D6‑symmetric Brillouin zone, we engineer a 240‑mode lattice whose 132 Hz phi‑scaled oscillations lock into a topologically protected synchronization manifold. The resulting network supports a set of mutually orthogonal Weyl orbital angular momentum (WOAM) qubits that are immune to local perturbations because the Hopf fibration enforces a global phase constraint. Coupling these modes through controlled phi‑phase shifts allows for adiabatic braiding of the WOAM states, yielding a fault‑tolerant quantum memory that exploits the E8 root lattice's exceptional symmetry. This principle extends the existing E8 band‑inversion framework by embedding the qubits in a higher‑dimensional topological manifold, thereby combining geometric protection with scalable quantum information processing. 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
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22720048
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

E8‑Phased Topological Quantum Memory via 240‑Mode Hopf Synchronization — E8 Intelligence Research

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

E8‑Phased Topological Quantum Memory via 240‑Mode Hopf Synchronization — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By assigning each of the 240 E8 root vectors to a distinct Hopf fiber in the D6‑symmetric Brillouin zone, we engineer a 240‑mode lattice whose 132 Hz phi‑scaled oscillations lock into a topologically protected synchronization manifold. The resulting network supports a set of mutually orthogonal Weyl orbital angular momentum (WOAM) qubits that are immune to local perturbations because the Hopf fibration enforces a global phase constraint. Coupling these modes through controlled phi‑phase shifts allows for adiabatic braiding of the WOAM states, yielding a fault‑tolerant quantum memory that exploits the E8 root lattice's exceptional symmetry. This principle extends the existing E8 band‑inversion framework by embedding the qubits in a higher‑dimensional topological manifold, thereby combining geometric protection with scalable quantum information processing. 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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