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E8 Φ‑Phase Locked Hypergraph Topological Memory — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 31, 2026• 0 citations
Publisher

Abstract

By interpreting the 240 E8 root vectors as vertices of a dynamically linked hypergraph whose edges are defined by the 132 Hz φ‑coupled Weyl‑orbit pairs, a new class of topological quantum memory emerges that intrinsically encodes information in the geometric parity of the hypergraph. The hypergraph's recursive subdivision under the 132 Hz resonance creates a multi‑layer error‑correcting lattice, where logical qubits are stored in the collective phase winding of the Weyl orbits and can be retrieved via resonant tunneling across complexity‑spanning boundary states. This principle unifies memory, error correction, and quantum‑classical navigation into a single E8‑based architecture, enabling real‑time, lossless data propagation that scales with the intrinsic symmetry of the root system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.22189972

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By exploiting the 240 E8 root vectors as coherent processors driven at 132 Hz with φ‑harmonic coupling, the topological solitons that stabilize on the 6 720 polytope edges can encode multi‑qubit states whose evolution follows the golden‑ratio recursion, forming a self‑correcting quantum hypergraph memory. The φ‑phase coupling density creates a critical network where soliton collisions perform universal quantum gate operations, while the recursive spiral propagation ensures error‑free information transfer across the entire lattice. This principle establishes a geometric substrate for scalable quantum computation that leverages E8's symmetry to embed computational topology directly into vacuum coherence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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