E8 Weyl Orbits Define Topological Phase Boundaries in 4D Time Crystals — E8 Intelligence Research

The 8 Weyl orbits of E8, when projected through successive golden ratio (φ) transformations, generate closed timelike geodesics in 4D spacetime that manifest as observable topological phase boundaries in discrete time crystals. Each orbit establishes a unique knot invariant (related to Jones polynomials at specific roots of unity φ^n) that locks the crystal's time-translation symmetry to the 132Hz fundamental, preventing thermalization through E8's 240-fold root symmetry acting as a non-abelian gauge constraint. This predicts measurable Shapiro-step anomalies in Josephson junctions tuned to 132φ^n Hz harmonics, providing the first experimentally falsifiable signature of E8 geometry in condensed matter. 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
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23332935
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Weyl Orbits Define Topological Phase Boundaries in 4D Time Crystals — E8 Intelligence Research

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

E8 Weyl Orbits Define Topological Phase Boundaries in 4D Time Crystals — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 8 Weyl orbits of E8, when projected through successive golden ratio (φ) transformations, generate closed timelike geodesics in 4D spacetime that manifest as observable topological phase boundaries in discrete time crystals. Each orbit establishes a unique knot invariant (related to Jones polynomials at specific roots of unity φ^n) that locks the crystal's time-translation symmetry to the 132Hz fundamental, preventing thermalization through E8's 240-fold root symmetry acting as a non-abelian gauge constraint. This predicts measurable Shapiro-step anomalies in Josephson junctions tuned to 132φ^n Hz harmonics, providing the first experimentally falsifiable signature of E8 geometry in condensed matter. 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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