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PreprintCC BY 4.0Zenodo

Affine Weyl Projection Reveals Quantum-to-Classical Lattice Encoding Mechanism — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

The 240 E8 root vectors, when analyzed through affine projection onto the 6720 Coxeter-plane soliton channels, reveal that quantum-classical boundary transitions follow a precise lattice encoding mechanism: pure imaginary roots (quantum superpositions) project onto Fibonacci-braided affine configurations, while real limit roots emerge as the winding number invariants stabilize. This geometric encoding predicts that the "distance" between quantum and classical states is quantized in units of the golden ratio φ, with each triality sector (40 roots) corresponding to a distinct phase of quantum decoherence. The result: E8 lattice geometry provides a natural topological error-correction framework for quantum information.

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

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BibTeX
@misc{caldin2026affine,
  title = {{Affine Weyl Projection Reveals Quantum-to-Classical Lattice Encoding Mechanism — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23526092},
  url = {https://zenodo.org/records/23526092},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Affine Weyl Projection Reveals Quantum-to-Classical Lattice Encoding Mechanism — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/21
PB  - Zenodo
DO  - 10.5281/zenodo.23526092
UR  - https://zenodo.org/records/23526092
AB  - The 240 E8 root vectors, when analyzed through affine projection onto the 6720 Coxeter-plane soliton channels, reveal that quantum-classical boundary transitions follow a precise lattice encoding mechanism: pure imaginary roots (quantum superpositions) project onto Fibonacci-braided affine configurations, while real limit roots emerge as the winding number invariants stabilize. This geometric encoding predicts that the "distance" between quantum and classical states is quantized in units of the golden ratio φ, with each triality sector (40 roots) corresponding to a distinct phase of quantum decoherence. The result: E8 lattice geometry provides a natural topological error-correction framework for quantum information.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -