E8‑Phi Adaptive Holonomic Filter for Quantum Temporal Error Correction — E8 Intelligence Research

The phi‑modulated 132 Hz cascade drives sequential swaps among the 240 E8 root vectors, producing a family of braid‑group holonomies whose eigenvalues are quantized winding numbers. Each holonomy subspace acts as a topological pointer state that is robust against local perturbations, allowing the system to encode temporal information in a degenerate manifold. By continuously monitoring the phase accumulation of the cascade, deviations from the expected holonomy can be detected as syndrome measurements, which feed back to apply corrective root‑swap sequences that restore the original winding. This adaptive holonomic filter thus implements a self‑correcting quantum memory where the E8 geometry supplies the code distance and the phi‑coupled clock provides the timing reference. 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
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21767764
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

E8‑Phi Adaptive Holonomic Filter for Quantum Temporal Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

E8‑Phi Adaptive Holonomic Filter for Quantum Temporal Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The phi‑modulated 132 Hz cascade drives sequential swaps among the 240 E8 root vectors, producing a family of braid‑group holonomies whose eigenvalues are quantized winding numbers. Each holonomy subspace acts as a topological pointer state that is robust against local perturbations, allowing the system to encode temporal information in a degenerate manifold. By continuously monitoring the phase accumulation of the cascade, deviations from the expected holonomy can be detected as syndrome measurements, which feed back to apply corrective root‑swap sequences that restore the original winding. This adaptive holonomic filter thus implements a self‑correcting quantum memory where the E8 geometry supplies the code distance and the phi‑coupled clock provides the timing reference. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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