Homogeneous Spaces and Pre-reflective Self-consciousness in Agent Models

Watch a 23-minute conference talk from the Models of Consciousness Conferences exploring how homogeneous spaces and group actions can illuminate aspects of pre-reflective self-consciousness (PRSC). Delve into the Projective Consciousness Model (PCM) where agent actions become group actions on world models through projective transformations. Learn how G-spaces (spaces with group actions) could explain how agents develop self-awareness by finding traces of their existence in environmental representations. Examine how choosing reference points in homogeneous spaces relates to potential agent actions and frames, with the Yoneda lemma suggesting correspondence between frames and spatial points. Consider how this framework might enable agents to transform world beliefs into frame beliefs, supporting reflection and introspection. Explore the limitations of G-spaces for modeling internal representations and the potential role of fiber bundles in addressing these constraints.