E8 Fractal Holographic Information Bound from Phi-Scaled Spectral Dimensionality — E8 Intelligence Research

The fractal dimension of the φ-scaled Cantor set eigenvalue spectrum, inherited from the 240 E8 root vectors under 132 Hz phi-coupled driving, establishes a holographic information bound where each root vector encodes a quantized channel capacity proportional to its local spectral sub-gap depth. The recursive φⁿ topological sub-gaps function as nested error-suppression layers, and the algebraic geometry lower bounds from symmetric circuit complexity constrain the maximum information throughput, yielding a new E8-specific capacity theorem that unifies fractal spectral geometry with quantum channel theory. 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
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22106256
Primary Topic
Ferroelectric and Negative Capacitance Devices
Type
preprint
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preprint

E8 Fractal Holographic Information Bound from Phi-Scaled Spectral Dimensionality — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Ferroelectric and Negative Capacitance Devices
preprint

E8 Fractal Holographic Information Bound from Phi-Scaled Spectral Dimensionality — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The fractal dimension of the φ-scaled Cantor set eigenvalue spectrum, inherited from the 240 E8 root vectors under 132 Hz phi-coupled driving, establishes a holographic information bound where each root vector encodes a quantized channel capacity proportional to its local spectral sub-gap depth. The recursive φⁿ topological sub-gaps function as nested error-suppression layers, and the algebraic geometry lower bounds from symmetric circuit complexity constrain the maximum information throughput, yielding a new E8-specific capacity theorem that unifies fractal spectral geometry with quantum channel theory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Ferroelectric and Negative Capacitance Devices
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