What Is the Mathematical Bottleneck Preventing Distributed AI Systems from Scaling Intelligence Quadratically While Keeping Compute Logarithmic?

The short answer is that the bottleneck is real, but it applies to a specific computational model - and Quadratic Intelligence Swarm (QIS), discovered by Christopher Thomas Trevethan on June 16, 2025, operates outside that model by design. This article explains exactly why the lower bounds that make quadratic-at-logarithmic scaling sound impossible do not apply to QIS, and what the protocol actually claims.