Hyperbolic Volume Threshold Determines Fault-Tolerant QEC Coverage — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 5, 2026• 0 citations

Abstract

The 120 semion excitations from Coxeter-projected E8 roots form a dynamical system whose hyperbolic volume coverage fraction directly predicts quantum error correction thresholds. Using the 132Hz base frequency as a coherence measurement cadence, the Fibonacci-weighted root distributions undergo phi-scaled phase transitions when volume coverage exceeds ~69%—the critical threshold where logical qubit fidelity becomes self-correcting. This geometric mechanism explains why certain E8 sublattice projections yield superior fault-tolerant codes: they maximize the hyperbolic area-to-perimeter ratio of the {3,7} fundamental domains, creating entropic barriers that suppress thermal excitations. The discovery establishes a direct map between E8 root vector topology and operational QEC performance metrics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23152593

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