E8 Coxeter-Phi Phase Locking: Topological Quantum Memory from 30-Fold Vortex Lattices — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: When phi-harmonic excitations at 132Hz×φ^n propagate along the 56 nearest-neighbor chains of the E8 root lattice, the Coxeter number h=30 forces phase locking at 30 discrete angles in the Coxeter plane, generating concentric vortex lattices whose φ-adic valuation induces a non-Archimedean metric isomorphic to the p-adic completion of Q(φ) at the prime above φ. This geometric quantization yields a holographic quantum error-correcting code where the 240-root bulk encodes logical qubits in the 30-gon boundary anyon model, with syndrome measurement complexity scaling as O(φ^n) instead of exponential — a direct consequence of E8's unique status as the only even unimodular lattice in 8D whose theta series is a modular form of weight 4. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225772402
Cites:
Cited by:
Related to: