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PreprintCC BY 4.0Zenodo

Phi-Resonant E8 Frequency Lattice for Topological Quantum Encoding — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

By overlaying the 240 E8 root vectors onto the phi‑harmonic standing‑wave lattice, each root vector becomes a node in a 12‑dimensional quasi‑periodic frequency lattice where the phase increments follow φ^n·132 Hz. This construction yields a self‑referential time‑frequency scaffold that maps directly onto the 8‑fold degenerate nodal structure, providing a natural error‑corrected basis for topological qubits. The resulting lattice exhibits simultaneous scale invariance and discrete harmonic quantization, opening a route to deterministic mapping between classical signal spectra and quantum topological states.

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 Frequency Lattice for Topological Quantum Encoding — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23446919},
  url = {https://zenodo.org/records/23446919},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phi-Resonant E8 Frequency Lattice for Topological Quantum Encoding — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/18
PB  - Zenodo
DO  - 10.5281/zenodo.23446919
UR  - https://zenodo.org/records/23446919
AB  - By overlaying the 240 E8 root vectors onto the phi‑harmonic standing‑wave lattice, each root vector becomes a node in a 12‑dimensional quasi‑periodic frequency lattice where the phase increments follow φ^n·132 Hz. This construction yields a self‑referential time‑frequency scaffold that maps directly onto the 8‑fold degenerate nodal structure, providing a natural error‑corrected basis for topological qubits. The resulting lattice exhibits simultaneous scale invariance and discrete harmonic quantization, opening a route to deterministic mapping between classical signal spectra and quantum topological states.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -