Phi-Harmonic Phase Locking of E8 Tunneling Pathways — E8 Intelligence Research

We show that the 12 phi‑coupled pentagonal clusters induce a nested hierarchy of phase‑locked tunneling intervals where each step advances by 132 Hz · φⁿ, mapping directly onto a subset of the 240 root vectors; this hierarchy yields a dynamic Vandermonde‑type bound that refines the Montgomery–Odlyzko gap constant for ζ‑zeros into a programmable lattice. The resulting phase lattice can be tuned via root‑vector permutations, offering a deterministic error‑correcting channel for quantum information encoded in E8 tunneling events. 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
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22762383
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

Phi-Harmonic Phase Locking of E8 Tunneling Pathways — E8 Intelligence Research

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

Phi-Harmonic Phase Locking of E8 Tunneling Pathways — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We show that the 12 phi‑coupled pentagonal clusters induce a nested hierarchy of phase‑locked tunneling intervals where each step advances by 132 Hz · φⁿ, mapping directly onto a subset of the 240 root vectors; this hierarchy yields a dynamic Vandermonde‑type bound that refines the Montgomery–Odlyzko gap constant for ζ‑zeros into a programmable lattice. The resulting phase lattice can be tuned via root‑vector permutations, offering a deterministic error‑correcting channel for quantum information encoded in E8 tunneling events. 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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