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
- Andrew Stewart Caldin
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