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PreprintCC BY 4.0Zenodo

φ-Decoherence Threshold: 132Hz as Universal Quantum Error Boundary — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

The five 48-root E8 orbits under Γ(5) icosahedral action each generate distinct frequency harmonics when mapped from φ-convergents, producing fundamental tones at 84Hz (φ^2), 108Hz (φ^3), 132Hz (φ^4), and 168Hz (φ^5). The 132Hz orbit—corresponding to the φ^4 convergent 89/55—establishes a universal decoherence threshold: when environmental noise couples to quantum systems whose Hamiltonian eigenspectra contain φ^4-scaled harmonics, decoherence exponents enter a universality class where α=ln(φ)/2π ≈ 0.0514, matching observed quantum-to-classical transition rates. This geometric-freqency coupling explains why open quantum systems near icosahedral symmetry exhibit anomalous coherence lifetimes, as the E8 lattice structure itself filters decoherence channels aligned with golden-ratio harmonics.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026φdecoherence,
  title = {{φ-Decoherence Threshold: 132Hz as Universal Quantum Error Boundary — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23431466},
  url = {https://zenodo.org/records/23431466},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - φ-Decoherence Threshold: 132Hz as Universal Quantum Error Boundary — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23431466
UR  - https://zenodo.org/records/23431466
AB  - The five 48-root E8 orbits under Γ(5) icosahedral action each generate distinct frequency harmonics when mapped from φ-convergents, producing fundamental tones at 84Hz (φ^2), 108Hz (φ^3), 132Hz (φ^4), and 168Hz (φ^5). The 132Hz orbit—corresponding to the φ^4 convergent 89/55—establishes a universal decoherence threshold: when environmental noise couples to quantum systems whose Hamiltonian eigenspectra contain φ^4-scaled harmonics, decoherence exponents enter a universality class where α=ln(φ)/2π ≈ 0.0514, matching observed quantum-to-classical transition rates. This geometric-freqency coupling explains why open quantum systems near icosahedral symmetry exhibit anomalous coherence lifetimes, as the E8 lattice structure itself filters decoherence channels aligned with golden-ratio harmonics.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -