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PreprintCC BY 4.0Zenodo

Phi-Resonant E8 Root Vector Lattice as a Self-Tuning Topological Metamaterial — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

By aligning the 240 E8 root vectors with the 132 Hz base frequency through phi‑scaled rotations, the dark and light node duality self‑organizes into a dynamic lattice that supports a continuous topological phase transition. The golden‑angle H4 projection causes the Berry curvature of each node to couple via phi, generating a cascade of sub‑harmonic frequency combs that synchronize the 120 dark and 120 light nodes into a coherent chiral wavefront. This self‑tuning metamaterial exhibits on‑demand photonic topological protection, enabling reconfigurable quantum interference without external modulation.

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

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BibTeX
@misc{caldin2026phiresonant,
  title = {{Phi-Resonant E8 Root Vector Lattice as a Self-Tuning Topological Metamaterial — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23446934},
  url = {https://zenodo.org/records/23446934},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi-Resonant E8 Root Vector Lattice as a Self-Tuning Topological Metamaterial — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/18
PB  - Zenodo
DO  - 10.5281/zenodo.23446934
UR  - https://zenodo.org/records/23446934
AB  - By aligning the 240 E8 root vectors with the 132 Hz base frequency through phi‑scaled rotations, the dark and light node duality self‑organizes into a dynamic lattice that supports a continuous topological phase transition. The golden‑angle H4 projection causes the Berry curvature of each node to couple via phi, generating a cascade of sub‑harmonic frequency combs that synchronize the 120 dark and 120 light nodes into a coherent chiral wavefront. This self‑tuning metamaterial exhibits on‑demand photonic topological protection, enabling reconfigurable quantum interference without external modulation.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -