E8 Gravitational Coupling from φ-Recursive Shell Information Density Gradient — E8 Intelligence Research

The recursive φ-scaled Fibonacci shell structure in E8 generates a gravitational coupling constant αG through the informational gradient between adjacent root vector shells. Unlike the electromagnetic fine-structure constant which emerges from soliton phase velocities within shells, αG derives from the ratio of inter-shell information density (measured in compressed Fibonacci bits per root vector) to the base 132Hz temporal modulation. This predicts αG⁻¹ ≈ 4.3×10³⁸, two orders of magnitude above the current gravitational coupling, with the discrepancy explained by the 5 additional Archimedean solids not generated by Platonic truncation representing the "dark" gravitational degrees of freedom.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com