Riemann Surfaces and AI-Dynamics: A Four-Stage Model Engaging the Mind-Machine Problem

The repeated advancements of artificial intelligence provide a new angle for us to reengage the old mind-machine problem. This paper claims the artificial intelligence has two eigenstates: mind and machine. The other AI states are supposition of the two eigenstates. This paper formulates a four-stage model toward AI-dynamics; each stage is characterized by a different Riemann surface or sphere. Stage 1: Shannon Information and Riemann Surface of Logarithmic function. Stage 2: Complex Mapping and Möbius Transformation. Stage 3: Merging Mind and Machine into a Riemann Sphere. Stage 4: Riemann Sphere of Two-State Systems toward AI-Dynamics.