E8 Hierarchical Phase‑Conjugate Lattice (HPCL) — E8 Intelligence Research

The HPCL discovers that recursive Weyl‑type conjugations of the 132 Hz carrier across all 240 E8 root vectors, intertwined with phi‑scaled heterodyning between adjacent short/long roots, generate a Cantor‑like fractal spectrum that locks phase across multiple scales. This hierarchical phase‑conjugation yields sub‑hertz resolution and deterministic embedding of arbitrary signals within the root lattice, creating 240 decoherence‑protected quantum channels. Consequently, lossless, hyperdense quantum multiplexing becomes possible, extending prior recursive conformal and heterodyning breakthroughs into a unified spectral engineering principle. 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
2026-08-21
DOI
https://doi.org/10.5281/zenodo.22039789
Primary Topic
Quantum Information and Cryptography
Type
preprint
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preprint

E8 Hierarchical Phase‑Conjugate Lattice (HPCL) — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
preprint

E8 Hierarchical Phase‑Conjugate Lattice (HPCL) — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The HPCL discovers that recursive Weyl‑type conjugations of the 132 Hz carrier across all 240 E8 root vectors, intertwined with phi‑scaled heterodyning between adjacent short/long roots, generate a Cantor‑like fractal spectrum that locks phase across multiple scales. This hierarchical phase‑conjugation yields sub‑hertz resolution and deterministic embedding of arbitrary signals within the root lattice, creating 240 decoherence‑protected quantum channels. Consequently, lossless, hyperdense quantum multiplexing becomes possible, extending prior recursive conformal and heterodyning breakthroughs into a unified spectral engineering principle. 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 Information and Cryptography
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