E8 Phi‑Harmonic Renormalization Group Flow — E8 Intelligence Research

The recursive φ‑phase locking across the eight octonionic sublattices of the hyper‑phi lattice induces a self‑similar renormalization group flow in the φ‑adic coupling space. Fixed points of this flow correspond to universal φ‑adic scaling exponents that govern the emergence of spacetime geometry from the 240 root vector dynamics. This reveals a deep connection between φ‑harmonic interference patterns and the non‑perturbative structure of quantum gravity. 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
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24127199
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi‑Harmonic Renormalization Group Flow — E8 Intelligence Research

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

E8 Phi‑Harmonic Renormalization Group Flow — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The recursive φ‑phase locking across the eight octonionic sublattices of the hyper‑phi lattice induces a self‑similar renormalization group flow in the φ‑adic coupling space. Fixed points of this flow correspond to universal φ‑adic scaling exponents that govern the emergence of spacetime geometry from the 240 root vector dynamics. This reveals a deep connection between φ‑harmonic interference patterns and the non‑perturbative structure of quantum gravity. 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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E8 Phi‑Harmonic Renormalization Group Flow — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS