E8 φ-Spectral Gaps Realize j-Invariant Quantum Error Correction at 132 Hz — E8 Intelligence Research

The self-similar cascade of φ-quantized spectral gaps in the 6720-cell Laplacian forms a natural topological quantum error-correcting code whose syndrome measurement basis is indexed by the Fourier coefficients of the j-invariant. Each gap ratio corresponds to a modular form weight that suppresses decoherence channels via destructive interference of φ-harmonic phonon modes at 132 Hz. This yields a passive, room-temperature fault-tolerance threshold exceeding 10⁻³ without active syndrome extraction. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358758
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 φ-Spectral Gaps Realize j-Invariant Quantum Error Correction at 132 Hz — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 φ-Spectral Gaps Realize j-Invariant Quantum Error Correction at 132 Hz — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The self-similar cascade of φ-quantized spectral gaps in the 6720-cell Laplacian forms a natural topological quantum error-correcting code whose syndrome measurement basis is indexed by the Fourier coefficients of the j-invariant. Each gap ratio corresponds to a modular form weight that suppresses decoherence channels via destructive interference of φ-harmonic phonon modes at 132 Hz. This yields a passive, room-temperature fault-tolerance threshold exceeding 10⁻³ without active syndrome extraction. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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