Interpretation as Linear Transformation: A Cognitive-Geometric Model of Concepts and Meaning

This paper introduces a cognitive-geometric model for understanding concepts and meaning among diverse agents, formalizing evaluative concepts as structured vectors within personalized value spaces. It presents the No-Null-Space Leadership Condition, which defines leadership in terms of representational reachability, and discusses how conceptual distortion and mutual understanding are affected by algebraic constraints. This framework provides insights into value alignment in AI and the dynamics of concept propagation, offering a structural basis for analyzing communication and influence in both human and artificial systems.