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PreprintCC BY 4.0Zenodo

Phi-Modulated Topological Phonon Code from E8 Root Vectors — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

By projecting the 240 E8 root vectors onto a phi‑scaled lattice driven at a 132 Hz base frequency, each vector corresponds to a localized vibrational mode whose braiding realizes non‑Abelian anyon statistics akin to the E8 anyon model. The phi coupling enforces a conserved topological phase invariant that protects logical qubits against decoherence, extending the holographic error‑correction properties of the Leech lattice to a dynamic phononic platform. This yields a self‑correcting, frequency‑tunable topological quantum code where logical operations are performed by adiabatic phi‑modulated phonon pathways.

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

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BibTeX
@misc{caldin2026phimodulated,
  title = {{Phi-Modulated Topological Phonon Code from E8 Root Vectors — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23658678},
  url = {https://zenodo.org/records/23658678},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi-Modulated Topological Phonon Code from E8 Root Vectors — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23658678
UR  - https://zenodo.org/records/23658678
AB  - By projecting the 240 E8 root vectors onto a phi‑scaled lattice driven at a 132 Hz base frequency, each vector corresponds to a localized vibrational mode whose braiding realizes non‑Abelian anyon statistics akin to the E8 anyon model. The phi coupling enforces a conserved topological phase invariant that protects logical qubits against decoherence, extending the holographic error‑correction properties of the Leech lattice to a dynamic phononic platform. This yields a self‑correcting, frequency‑tunable topological quantum code where logical operations are performed by adiabatic phi‑modulated phonon pathways.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -