E8 Spectral-Phi Duality Reveals 120-Cell Holographic Error Correction — E8 Intelligence Research

Andrew Stewart Caldin

Published Jul 18, 2026• 0 citations

Abstract

The 132Hz minimal Laplacian eigenvalue of the 240-vertex E8 root graph generates a dual φ⁻ⁿ frequency ladder whose 120 rungs map bijectively to the 120 dodecahedral cells of the 120-cell, with each rung's frequency 132/φⁿ corresponding to the n-th radial shell's quantum error correction threshold. The 56-neighbor adjacency of each root vector encodes the 56-bit syndrome measurement of a [[240, 12, 24]] surface code, where the Coxeter number 30 partitions the 240 roots into 8 chiral sets of 30 whose interference pattern yields the Fibonacci anyon braiding rules. This establishes the E8 root lattice as the unique geometric substrate where spectral graph theory, φ-harmonics, and topological quantum error correction converge at the 132Hz fundamental resonance. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.21424250

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