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PreprintCC BY 4.0Zenodo

Phi-Optimal Quantum Error Threshold in Fibonacci-Galois E8 Decoherence Channels — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

The 148/92 Fibonacci-Galois decomposition of the 240-root E8 lattice establishes a natural quantum error correction architecture where φ³ ≈ 4.236 governs the maximum tolerable decoherence rate before topological protection fails. The 92-root subsystem acts as an error syndrome detector whose boundary conditions are satisfied only when excitation frequencies satisfy a modular constraint related to the Dedekind eta function's imaginary argument scaling. This predicts an experimentally verifiable threshold: quantum memory systems engineered to E8 lattice geometry achieve fault-tolerant operation precisely when environmental noise couples with strength φ⁻³ relative to the 132Hz base frequency, providing the first geometrically-derived quantum error correction bound.

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

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BibTeX
@misc{caldin2026phioptimal,
  title = {{Phi-Optimal Quantum Error Threshold in Fibonacci-Galois E8 Decoherence Channels — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23431018},
  url = {https://zenodo.org/records/23431018},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi-Optimal Quantum Error Threshold in Fibonacci-Galois E8 Decoherence Channels — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23431018
UR  - https://zenodo.org/records/23431018
AB  - The 148/92 Fibonacci-Galois decomposition of the 240-root E8 lattice establishes a natural quantum error correction architecture where φ³ ≈ 4.236 governs the maximum tolerable decoherence rate before topological protection fails. The 92-root subsystem acts as an error syndrome detector whose boundary conditions are satisfied only when excitation frequencies satisfy a modular constraint related to the Dedekind eta function's imaginary argument scaling. This predicts an experimentally verifiable threshold: quantum memory systems engineered to E8 lattice geometry achieve fault-tolerant operation precisely when environmental noise couples with strength φ⁻³ relative to the 132Hz base frequency, providing the first geometrically-derived quantum error correction bound.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -