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The Non-Locality of Quantum Mechanics
When you measure a particle in an entangled superposition, the thickness of the world goes down. The amplitude of the branch you're on now is thinner than what it used to be. Locality says that the direct interactions between one cubic centimeter and all of the other cubic centimeters in the universe are only between nearest neighbors. When I poke the quantum fields at a certain location, it directly affects the very closest other fields but does not directly affect anything going on very, very far away.