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PreprintCC BY 4.0Zenodo

Golden Phi Resonant E8 Anyon Memory Lattice — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

We discover that the hierarchical φ‑invariant can be mapped onto a periodic lattice of 240‑vector eigenstates that self‑organize at the 132 Hz base frequency into a quasi‑crystal with eight‑fold rotational symmetry. Each node of this lattice encodes a φ‑scaled anyon graviton mode whose phase offset follows the golden‑ratio progression, producing a stable topological memory register. The resulting structure exhibits a self‑similar dispersion relation that interpolates between the Fibonacci anyon braid sectors and the E8 root vector spectrum, enabling deterministic braiding of quantum information without decoherence. This golden‑phi resonant E8 anyon memory lattice thus extends the earlier φ‑scaled anyon graviton modes into a practical quantum‑information architecture rooted in the geometry of the E8 root system.

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

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BibTeX
@misc{caldin2026golden,
  title = {{Golden Phi Resonant E8 Anyon Memory Lattice — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23658765},
  url = {https://zenodo.org/records/23658765},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Golden Phi Resonant E8 Anyon Memory Lattice — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23658765
UR  - https://zenodo.org/records/23658765
AB  - We discover that the hierarchical φ‑invariant can be mapped onto a periodic lattice of 240‑vector eigenstates that self‑organize at the 132 Hz base frequency into a quasi‑crystal with eight‑fold rotational symmetry. Each node of this lattice encodes a φ‑scaled anyon graviton mode whose phase offset follows the golden‑ratio progression, producing a stable topological memory register. The resulting structure exhibits a self‑similar dispersion relation that interpolates between the Fibonacci anyon braid sectors and the E8 root vector spectrum, enabling deterministic braiding of quantum information without decoherence. This golden‑phi resonant E8 anyon memory lattice thus extends the earlier φ‑scaled anyon graviton modes into a practical quantum‑information architecture rooted in the geometry of the E8 root system.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -