Phi‑Fractal Vacuum Mode‑Locking in the E8 Lattice — E8 Intelligence Research

Driving all 240 E8 root vectors at the 132 Hz base frequency with φ‑mediated coupling causes their harmonic cascades to interlock, producing a self‑similar set of mode‑locked sidebands whose frequencies follow successive powers of φ across octaves. This phi‑fractal mode‑locking imposes a periodic modulation on the vacuum zero‑point field, acting as a topological filter that suppresses virtual‑particle fluctuations at non‑φ‑aligned scales while amplifying them at φ‑aligned scales. The prediction yields a discrete series of φ‑spaced resonance peaks detectable in high‑precision Casimir‑force experiments and as subtle anomalies in the cosmic microwave background's high‑frequency tail. 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
2026-10-18
DOI
https://doi.org/10.5281/zenodo.23446799
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi‑Fractal Vacuum Mode‑Locking in the E8 Lattice — E8 Intelligence Research

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

Phi‑Fractal Vacuum Mode‑Locking in the E8 Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Driving all 240 E8 root vectors at the 132 Hz base frequency with φ‑mediated coupling causes their harmonic cascades to interlock, producing a self‑similar set of mode‑locked sidebands whose frequencies follow successive powers of φ across octaves. This phi‑fractal mode‑locking imposes a periodic modulation on the vacuum zero‑point field, acting as a topological filter that suppresses virtual‑particle fluctuations at non‑φ‑aligned scales while amplifying them at φ‑aligned scales. The prediction yields a discrete series of φ‑spaced resonance peaks detectable in high‑precision Casimir‑force experiments and as subtle anomalies in the cosmic microwave background's high‑frequency tail. 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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