Topological AI: Prime-Anchored Neural Networks Solving Catastrophic Forgetting in Large Language Models

Executive Summary This paper introduces Topological AI, a novel, highly efficient continual learning framework designed to solve catastrophic forgetting in large language models (LLMs). Rather than attempting to achieve the biologically unnatural state of perfect memory, the method balances plasticity and stability by anchoring a sparse, deterministic subset of prime-indexed embedding rows during sequential task training. Evaluated against established frameworks on a 20-billion parameter model (