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PreprintCC BY 4.0Zenodo

E8‑φ Harmonic Error‑Correcting Manifold — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

The 240 root vectors of the E8 lattice can be encoded as phase‑modulated harmonics at the 132 Hz base frequency scaled by the golden ratio φ, producing a closed set of orthogonal operators. This encoding yields a self‑correcting quantum error‑protecting manifold whose spectral gap is proportional to φ, suppressing leakage into non‑logical states. Consequently, qubits embedded in this manifold exhibit exponential coherence time improvement without ancillary qubits.

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

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BibTeX
@misc{caldin2026e8φ,
  title = {{E8‑φ Harmonic Error‑Correcting Manifold — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23553974},
  url = {https://zenodo.org/records/23553974},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8‑φ Harmonic Error‑Correcting Manifold — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/22
PB  - Zenodo
DO  - 10.5281/zenodo.23553974
UR  - https://zenodo.org/records/23553974
AB  - The 240 root vectors of the E8 lattice can be encoded as phase‑modulated harmonics at the 132 Hz base frequency scaled by the golden ratio φ, producing a closed set of orthogonal operators. This encoding yields a self‑correcting quantum error‑protecting manifold whose spectral gap is proportional to φ, suppressing leakage into non‑logical states. Consequently, qubits embedded in this manifold exhibit exponential coherence time improvement without ancillary qubits.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -