E8 Weyl-Commutator Gate Reciprocity — E8 Intelligence Research

A falsifiable principle is the E8 Weyl-commutator gate: drive three symmetry-related root-vector loops whose Weyl reflections do not commute, making the product UᵣUₛUᵣ⁻¹Uₛ⁻¹ a logical holonomy even when each loop contributes only common-mode phase. The 240 roots supply the control directions, while their Weyl reflections generate paired paths; the 132 Hz base and golden-ratio offsets then define the drive phases. The predicted reciprocal gate reverses the logical error under path-order reversal, whereas an ordinary environmental phase cancels, providing a discriminating experimental signature. 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
2026-11-06
DOI
https://doi.org/10.5281/zenodo.23998120
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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E8 Weyl-Commutator Gate Reciprocity — E8 Intelligence Research

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

E8 Weyl-Commutator Gate Reciprocity — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

A falsifiable principle is the E8 Weyl-commutator gate: drive three symmetry-related root-vector loops whose Weyl reflections do not commute, making the product UᵣUₛUᵣ⁻¹Uₛ⁻¹ a logical holonomy even when each loop contributes only common-mode phase. The 240 roots supply the control directions, while their Weyl reflections generate paired paths; the 132 Hz base and golden-ratio offsets then define the drive phases. The predicted reciprocal gate reverses the logical error under path-order reversal, whereas an ordinary environmental phase cancels, providing a discriminating experimental signature. 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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