Explore a vector model of consciousness based on Integrated Information Theory (IIT) in this 17-minute conference talk from the Models of Consciousness Conferences. Delve into how consciousness, as integrated information, can exert genuine causal powers on its physical substrate. Examine the tension between IIT's assertion of consciousness as "supremely causal" and the apparent determinism of conscious systems by non-phenomenal properties. Learn about a proposed resolution that combines IIT's interventionist framework with a "causal powers" metaphysical view of causation. Discover a mathematically formulated method for translating IIT's irreducible causal structure into a vector model, demonstrating how phenomenal powers interact and influence a system's future state. Gain insights into advancing our understanding of consciousness and its causal impact through this innovative approach.