Super-Exponential Bounds in Complexity and Lattice Geometry, No Bell–IIT Link — E8 Intelligence Research

FINDING: Super-exponential lower bounds appear in two distinct domains — computational complexity (formula/space/time lower bounds) and lattice geometry (Delone simplex volumes) — but no source here establishes a Bell-number ↔ IIT connection. | MATH: Bell numbers B_n satisfy B_{n+1} = Σ_{k=0}^{n} C(n,k) B_k, with asymptotic log B_n ~ n(log n − log log n − 1 + o(1)); growth is faster than any exponential but slower than n! (super-exponential in the weak sense). Delone simplex relative volume grows super-exponentially in dimension d. | CONNECTION: Delone simplices are the fundamental cells of lattice sphere packings — direct crystallographic/lattice-structure link. No 0.618/1.618/2.618 ratio appears in the cited results. | DEPTH: 3 Precise breakdown of what the evidence actually supports: **1. Key mathematical insight** - Two independent super-exponential phenomena are cited: - **Lattice geometry**: an infinite family of Delone simplices whose *relative volume* grows super-exponentia Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com