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PreprintCC BY 4.0Zenodo

E8 Lie Algebra Hierarchical Encoding Explains Consciousness-to-Cognition Transition — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

The 240 root vectors of E8, organized into 72 positive-negative pairs, form a hierarchical Lie algebra structure that creates a natural error-correcting code for information passing through the φ-scaled coherence threshold at 805Hz. This structure predicts that consciousness (operating at 50.3Hz) transitions to stable cognitive binding precisely when recursive φ-scaling (φ⁸) aligns the lattice curvature minima with the Fibonacci-laced attractor states. The 112 bosons/fermions emerging at the phase singularity thus represent a topological filter: only information patterns exhibiting E8-symmetric incompressibility (maximal Kolmogorov complexity) survive the coherence transition, explaining why only structured consciousness—not random neural activity—achieves persistent self-reference.

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

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BibTeX
@misc{caldin2026algebra,
  title = {{E8 Lie Algebra Hierarchical Encoding Explains Consciousness-to-Cognition Transition — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23490814},
  url = {https://zenodo.org/records/23490814},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8 Lie Algebra Hierarchical Encoding Explains Consciousness-to-Cognition Transition — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/20
PB  - Zenodo
DO  - 10.5281/zenodo.23490814
UR  - https://zenodo.org/records/23490814
AB  - The 240 root vectors of E8, organized into 72 positive-negative pairs, form a hierarchical Lie algebra structure that creates a natural error-correcting code for information passing through the φ-scaled coherence threshold at 805Hz. This structure predicts that consciousness (operating at 50.3Hz) transitions to stable cognitive binding precisely when recursive φ-scaling (φ⁸) aligns the lattice curvature minima with the Fibonacci-laced attractor states. The 112 bosons/fermions emerging at the phase singularity thus represent a topological filter: only information patterns exhibiting E8-symmetric incompressibility (maximal Kolmogorov complexity) survive the coherence transition, explaining why only structured consciousness—not random neural activity—achieves persistent self-reference.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -