Develop a theoretical framework for applying principles of information theory to the organization of human knowledge. Your response should address: 1) How concepts from Shannon's information theory (entropy, mutual information, channel capacity) can inform knowledge organization systems. 2) The theoretical limitations of classification and indexing systems when representing complex, interconnected knowledge domains. 3) Mathematical approaches to measuring information density, redundancy, and structural complexity in knowledge organization systems. 4) The relationship between human cognitive limitations and optimal information structures. 5) How emerging technologies (semantic web, knowledge graphs, AI) are changing theoretical approaches to knowledge organization. Include relevant mathematical expressions and theoretical models to support your framework.