The key insight is to reverse the logic in understanding interactions and space. Rather than interactions being local in space, it should be understood that space is the property with respect to which interactions are local. This shift in perspective is crucial in discussing the emergence of space from the wave function in quantum mechanics, which exists as a vector in a vast mathematical space called Hilbert space with at least 10 to the 10 to the 122 dimensions, an incredibly expansive mathematical concept.

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