We propose Liquid AI, an architectural framework for artificial intelligence systems capable of continuous structural adaptation and autonomous capability development. Unlike existing approaches in continual learning and neural architecture search that operate within predetermined constraints, Liquid AI implements three novel mechanisms: (1) entropy-guided hyperdimensional knowledge graphs that autonomously restructure based on information-theoretic criteria; (2) a self-development engine using hierarchical Bayesian optimization for runtime architecture modification; and (3) a federated multi-agent framework with emergent specialization through distributed reinforcement learning. Our framework addresses fundamental limitations in current AI systems—static architectures, isolated knowledge domains, and human-dependent evolution—through mathematically formalized processes of dynamic parameter adjustment, structural self-modification, and cross-domain knowledge synthesis. We present architectural specifications, theoretical convergence bounds for self-modifying systems, and evaluation criteria for adaptive AI systems. Implementation considerations address computational complexity and distributed computing requirements. This work establishes theoretical and architectural foundations for a new paradigm in artificial intelligence that transitions from episodic training to persistent autonomous development. By enabling runtime structural adaptation, cross-domain knowledge integration, and collaborative intelligence emergence, Liquid AI provides a blueprint for AI systems that continuously evolve to address complex challenges without human intervention.