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Explore the Projective Consciousness Model (PCM) and its implications for understanding consciousness, cognition, and behavior in this 23-minute conference talk. Delve into how 3D projective geometry models subjective perspectives and how the 3D projective group structures internal representations for active inference and optimal control. Discover how changing the group structure (Euclidean versus Projective) influences the quantification and maximization of "epistemic value" and subsequent exploratory behaviors. Learn about the mathematical proofs behind these concepts and their potential applications in designing experiments with human participants. Gain insights into the development of a comprehensive theory of consciousness and its potential for deriving principles for social robot control.