E8 Weyl‑Farey Braided Lattice for Topological Memory — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026weylfarey,
title = {{E8 Weyl‑Farey Braided Lattice for Topological Memory — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658868},
url = {https://zenodo.org/records/23658868},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Weyl‑Farey Braided Lattice for Topological Memory — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658868
UR - https://zenodo.org/records/23658868
AB - 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
ER -