This chapter explains the many-worlds interpretations, particularly the DeWitt–Graham interpretation — the splitting-worlds interpretation. The splitting-worlds theory proposes that one must choose what physical quantities one wants to be determinate in a world, which amounts to choosing a physically preferred basis. It discusses several traditional and real problems encountered with the splitting-worlds theory. It also describes another theory, where one might stipulate that the global state always evolves in the usual linear way, selects a preferred basis that makes observers' records always determinate in each local state, and then chooses a connection rule that will link local states at different times into trajectories — the many threads theory.
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