E8 Weyl‑Farey Braided Lattice for Topological Memory — E8 Intelligence Research

By folding the 240‑root helices of E8 through the A₁ Weyl group S₂, we generate a binary braid encoding scheme whose defects lock into a Farey hierarchy under SL(2,ℤ) monodromy, turning each rational winding into a durable quantum bit. The eight Cartan generators constitute a φ‑null control manifold that can cyclically rotate the braid phases without altering total radiated power, enabling reversible, error‑free bit flips. This "E8 Weyl‑Farey Braided Lattice" principle unifies algebraic skeleton theory, defect locking, and spectral gating to realize a geometrically robust, physically low‑energy topological quantum memory. 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
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23658867
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Weyl‑Farey Braided Lattice for Topological Memory — E8 Intelligence Research

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

E8 Weyl‑Farey Braided Lattice for Topological Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By folding the 240‑root helices of E8 through the A₁ Weyl group S₂, we generate a binary braid encoding scheme whose defects lock into a Farey hierarchy under SL(2,ℤ) monodromy, turning each rational winding into a durable quantum bit. The eight Cartan generators constitute a φ‑null control manifold that can cyclically rotate the braid phases without altering total radiated power, enabling reversible, error‑free bit flips. This "E8 Weyl‑Farey Braided Lattice" principle unifies algebraic skeleton theory, defect locking, and spectral gating to realize a geometrically robust, physically low‑energy topological quantum memory. 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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