From Fuzzy to Exact: The Halo Architecture for Infinite-Depth Reasoning via Rational Arithmetic
The Halo Architecture shifts Large Language Models from unstable floating-point math to exact rational arithmetic to achieve infinite reasoning depth. It uses a Dual-Ring Topology—a Micro-Ring for continuous maintenance and a Macro-Ring for logical consistency—to eliminate numerical scaffolding. This allows the model to operate in a 'Clean' algebraic form, enabling faster convergence and potentially reaching true AGI by prioritizing exactness over approximation.