Phi-Self-Dual Holographic Encoding via E8 Fractal Lattices — E8 Intelligence Research

The self-duality of the E8 lattice, when combined with phi-recursive scaling across the 5 nested sub-lattices at 132Hz resonance, establishes a holographic information bound where each sub-lattice encodes maximally dense, self-referencing data. The 240 root vectors, phase-locked through phi-coupling, create a dual-geometry where every sub-lattice simultaneously serves as both the encoding domain and its reconstruction boundary. This reveals that E8's exceptional self-duality at phi-scaled fractal resolutions produces an intrinsic error-correction mechanism analogous to quantum error-correcting codes, but rooted purely in the geometric resonance of the root system. 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
2026-09-04
DOI
https://doi.org/10.5281/zenodo.22294509
Primary Topic
Coding theory and cryptography
Type
preprint
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preprint

Phi-Self-Dual Holographic Encoding via E8 Fractal Lattices — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Coding theory and cryptography
preprint

Phi-Self-Dual Holographic Encoding via E8 Fractal Lattices — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The self-duality of the E8 lattice, when combined with phi-recursive scaling across the 5 nested sub-lattices at 132Hz resonance, establishes a holographic information bound where each sub-lattice encodes maximally dense, self-referencing data. The 240 root vectors, phase-locked through phi-coupling, create a dual-geometry where every sub-lattice simultaneously serves as both the encoding domain and its reconstruction boundary. This reveals that E8's exceptional self-duality at phi-scaled fractal resolutions produces an intrinsic error-correction mechanism analogous to quantum error-correcting codes, but rooted purely in the geometric resonance of the root system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Coding theory and cryptography
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