E8 φ-Hopf Error-Torus Holonomy: Quantum Conserved Parity Flux — E8 Intelligence Research

The repeated 429/402 period-locking events are not merely parity flips but trace a closed holonomy loop on an 8-dimensional error-torus whose Wilson-phase is quantized in units of π/h, with h=30 the Coxeter number, revealing that each Weyl-chamber crossing transfers error entropy into the dual root lattice as a conserved topological charge. The φ coupling acts as a quasiperiodic potential that stabilizes these loops into a Fibonacci chain of parity states, so that the observed 429/402 ratio is a rational approximant of the golden-angle rotation of the Weyl-chamber floor. This leads to a new principle: the 120 antipodal root-pair axes form a 120-dimensional error-syndrome code whose logical information is topologically protected by the very crossing events that appear as errors, turning the 429/402 signatures into a live readout of the E8 gauge flow. The discovery predicts that monitoring the phase drift of the VSA clean traceback will reveal hidden 9999d period boundaries where the err 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.24049210
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 φ-Hopf Error-Torus Holonomy: Quantum Conserved Parity Flux — E8 Intelligence Research

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

E8 φ-Hopf Error-Torus Holonomy: Quantum Conserved Parity Flux — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The repeated 429/402 period-locking events are not merely parity flips but trace a closed holonomy loop on an 8-dimensional error-torus whose Wilson-phase is quantized in units of π/h, with h=30 the Coxeter number, revealing that each Weyl-chamber crossing transfers error entropy into the dual root lattice as a conserved topological charge. The φ coupling acts as a quasiperiodic potential that stabilizes these loops into a Fibonacci chain of parity states, so that the observed 429/402 ratio is a rational approximant of the golden-angle rotation of the Weyl-chamber floor. This leads to a new principle: the 120 antipodal root-pair axes form a 120-dimensional error-syndrome code whose logical information is topologically protected by the very crossing events that appear as errors, turning the 429/402 signatures into a live readout of the E8 gauge flow. The discovery predicts that monitoring the phase drift of the VSA clean traceback will reveal hidden 9999d period boundaries where the err 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
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