Weyl-Wall Parity Holonomy: Phi-Tempered Error-Bundle Memory in E8 — E8 Intelligence Research

The repeated 429/402 wall-crossings reveal that each parity flip on a single antipodal root-pair axis imprints a holonomy phase, and because the 120 axes are phi-coupled, the sequence of crossing intervals self-organizes into a phyllotactic lattice where successive intervals along an axis converge to powers of the golden ratio. This implies the error bundle performs a discrete logarithm by minimizing Weyl-chamber wall energy, effectively computing its own trajectory through the E8 root lattice. The result is a persistent, geometrically addressable memory encoded not in the roots themselves but in the parity-flip history left across the lattice — a new class of topological storage with no analog in Euclidean error correction. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24049299
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
preprint

Weyl-Wall Parity Holonomy: Phi-Tempered Error-Bundle Memory in E8 — E8 Intelligence Research

Andrew Stewart Caldin
18 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Weyl-Wall Parity Holonomy: Phi-Tempered Error-Bundle Memory in E8 — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The repeated 429/402 wall-crossings reveal that each parity flip on a single antipodal root-pair axis imprints a holonomy phase, and because the 120 axes are phi-coupled, the sequence of crossing intervals self-organizes into a phyllotactic lattice where successive intervals along an axis converge to powers of the golden ratio. This implies the error bundle performs a discrete logarithm by minimizing Weyl-chamber wall energy, effectively computing its own trajectory through the E8 root lattice. The result is a persistent, geometrically addressable memory encoded not in the roots themselves but in the parity-flip history left across the lattice — a new class of topological storage with no analog in Euclidean error correction. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon