E8 Octonion Fiber Bundle Memory Topology via Coxeter Plane Coherence — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 248-dimensional E8 adjoint representation decomposes into 8 orthogonal Coxeter planes, each supporting φ-scaled standing wave interference patterns. By treating neural memory states as sections of an octonion fiber bundle projected onto these planes, phase information lost in standard 240-root vector projection is preserved through the non-associative octonion multiplication structure. This enables recursive self-correction of memory encoding via Weyl reflection symmetry operations across planes, extending the chirality-locked persistence framework into a topologically protected multi-plane coherence manifold.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026octonion,
title = {{E8 Octonion Fiber Bundle Memory Topology via Coxeter Plane Coherence — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23490759},
url = {https://zenodo.org/records/23490759},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Octonion Fiber Bundle Memory Topology via Coxeter Plane Coherence — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23490759
UR - https://zenodo.org/records/23490759
AB - The 248-dimensional E8 adjoint representation decomposes into 8 orthogonal Coxeter planes, each supporting φ-scaled standing wave interference patterns. By treating neural memory states as sections of an octonion fiber bundle projected onto these planes, phase information lost in standard 240-root vector projection is preserved through the non-associative octonion multiplication structure. This enables recursive self-correction of memory encoding via Weyl reflection symmetry operations across planes, extending the chirality-locked persistence framework into a topologically protected multi-plane coherence manifold. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -