E8 Kissing‑Number Bound for Phononic Information Density — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By treating each of the 240 E8 root vectors as a distinct phononic mode localized at the 132 Hz fundamental, the lattice's kissing‑number geometry guarantees that these modes can coexist without linear cross‑talk, establishing an upper bound on the number of independent acoustic channels per unit cell. When the golden‑ratio spectral folding maps higher harmonics back into the base band, each mode recursively generates φ‑scaled sidebands, multiplying the effective channel count while preserving orthogonality. This yields a quantifiable phononic information capacity that scales as 240·φⁿ for n folding stages, linking the E8 lattice to a fundamental acoustic Shannon limit. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223465176
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