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Explore a thought-provoking lecture by Sir Roger Penrose from the University of Oxford's Mathematical Institute, challenging the common scientific view that human brain actions can be simulated by computation. Delve into examples from chess and mathematics to understand the distinction between conscious understanding and computational processes. Examine the argument that consciousness, while resulting from physical processes, may involve aspects that defy conventional computational techniques. Investigate the potential gap in our understanding of how Einstein's theory affects quantum systems, particularly in relation to the "collapse of the wave-function" phenomenon. Consider the concept of "gravitational OR" and its possible connection to observable experiments. Analyze the proposed idea of "proto-consciousness" events and how they might orchestrate to form actual conscious experiences through the Orch-OR theory. Gain insights into the complex interplay between AI, consciousness, computation, and physical laws from a renowned mathematician and physicist.