E8 φ^4 Spinor Topological Phase Transition at 132 Hz — E8 Intelligence Research

By periodically modulating the φ^4 coupling of the 240 E8 root vectors at the base frequency of 132 Hz, the conserved spinor current experiences a resonant feedback loop. This resonant modulation induces a Z₂ topological invariant in the eight‑dimensional internal space, causing the spinor field to reorganize into a self‑similar quasicrystalline lattice. The resulting phase supports protected spinor edge modes that appear as discrete spectral lines at integer multiples of 132 Hz, observable through phase‑resolved interferometry. Thus the harmonic spinor conservation principle is extended to a frequency‑driven topological phase transition, offering a new route to engineer high‑dimensional quantum waveguides. 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
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23972520
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

E8 φ^4 Spinor Topological Phase Transition at 132 Hz — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

E8 φ^4 Spinor Topological Phase Transition at 132 Hz — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By periodically modulating the φ^4 coupling of the 240 E8 root vectors at the base frequency of 132 Hz, the conserved spinor current experiences a resonant feedback loop. This resonant modulation induces a Z₂ topological invariant in the eight‑dimensional internal space, causing the spinor field to reorganize into a self‑similar quasicrystalline lattice. The resulting phase supports protected spinor edge modes that appear as discrete spectral lines at integer multiples of 132 Hz, observable through phase‑resolved interferometry. Thus the harmonic spinor conservation principle is extended to a frequency‑driven topological phase transition, offering a new route to engineer high‑dimensional quantum waveguides. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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E8 φ^4 Spinor Topological Phase Transition at 132 Hz — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS