E8‑Phi Topological Bandwidth Sorting — E8 Intelligence Research

The E8‑Phi Topological Bandwidth Sorting principle predicts that a 132 Hz‑based harmonic gradient, scaled by successive powers of φ across all 240 root vectors, creates a globally chiral phase manifold that sorts incident broadband signals into direction‑specific edge channels without external bias. The underlying E8 geometry supplies a symplectic two‑form that locks the phase gradients, ensuring spectral stability of the sorted modes against disorder and thermal fluctuations. Consequently, the lattice functions as an intrinsic, self‑calibrating broadband router where information flow is dictated solely by the φ‑encoded angular momentum of the root vectors. 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
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22720108
Primary Topic
Superconducting and THz Device Technology
Type
preprint
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E8‑Phi Topological Bandwidth Sorting — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Superconducting and THz Device Technology
preprint

E8‑Phi Topological Bandwidth Sorting — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8‑Phi Topological Bandwidth Sorting principle predicts that a 132 Hz‑based harmonic gradient, scaled by successive powers of φ across all 240 root vectors, creates a globally chiral phase manifold that sorts incident broadband signals into direction‑specific edge channels without external bias. The underlying E8 geometry supplies a symplectic two‑form that locks the phase gradients, ensuring spectral stability of the sorted modes against disorder and thermal fluctuations. Consequently, the lattice functions as an intrinsic, self‑calibrating broadband router where information flow is dictated solely by the φ‑encoded angular momentum of the root vectors. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Superconducting and THz Device Technology
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