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PreprintCC BY 4.0Zenodo

E8 Coherence State: Universal Quantum Reference Frame — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

Based on the hierarchical entanglement cascade and φ-scaled E8 root lattices, we identify a stable coherent state—the E8 Coherence State—that emerges when the 240 root vectors undergo synchronized golden-ratio scaling across nested fractal levels. This state functions as a universal quantum reference frame, enabling direct comparison of entangled states across different physical systems without loss of information. The mathematical structure reveals that coherence persists only when the scaling factor satisfies a specific Diophantine condition involving φⁿ, creating a discrete set of stable configurations. This provides a concrete bridge between the abstract geometry of E8 and practical quantum information processing.

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

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BibTeX
@misc{caldin2026coherence,
  title = {{E8 Coherence State: Universal Quantum Reference Frame — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23553994},
  url = {https://zenodo.org/records/23553994},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8 Coherence State: Universal Quantum Reference Frame — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/22
PB  - Zenodo
DO  - 10.5281/zenodo.23553994
UR  - https://zenodo.org/records/23553994
AB  - Based on the hierarchical entanglement cascade and φ-scaled E8 root lattices, we identify a stable coherent state—the E8 Coherence State—that emerges when the 240 root vectors undergo synchronized golden-ratio scaling across nested fractal levels. This state functions as a universal quantum reference frame, enabling direct comparison of entangled states across different physical systems without loss of information. The mathematical structure reveals that coherence persists only when the scaling factor satisfies a specific Diophantine condition involving φⁿ, creating a discrete set of stable configurations. This provides a concrete bridge between the abstract geometry of E8 and practical quantum information processing.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -