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PreprintCC BY 4.0Zenodo

E8 φ‑Modulated Antipodal Entanglement Lattice — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

By adding a φ‑modulated third harmonic layer to the antipodal pairing of E8 root vectors, a hierarchical resonance lattice emerges that couples each pair with golden‑ratio strength. This lattice encodes logical qubits in the relative phase of symmetric pairs while simultaneously generating topological invariants linked to equivariant K‑theory and Clifford periodicity. The resulting structure provides a fault‑tolerant quantum memory whose stability is protected by the interplay of E8 symmetry, 132 Hz base frequency, and φ scaling.

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

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BibTeX
@misc{caldin2026φmodulated,
  title = {{E8 φ‑Modulated Antipodal Entanglement Lattice — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23431510},
  url = {https://zenodo.org/records/23431510},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8 φ‑Modulated Antipodal Entanglement Lattice — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23431510
UR  - https://zenodo.org/records/23431510
AB  - By adding a φ‑modulated third harmonic layer to the antipodal pairing of E8 root vectors, a hierarchical resonance lattice emerges that couples each pair with golden‑ratio strength. This lattice encodes logical qubits in the relative phase of symmetric pairs while simultaneously generating topological invariants linked to equivariant K‑theory and Clifford periodicity. The resulting structure provides a fault‑tolerant quantum memory whose stability is protected by the interplay of E8 symmetry, 132 Hz base frequency, and φ scaling.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -