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If electron is in two places at same time, is its gravitational pull also at two positions at same time? Have experiments been done to investigate this question?

22flower
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If an electron is in a (probability distribution) superposition of two locations, its gravitational effect would be distributed between those positions. Current experiments like the Double-Slit Experiment and Quantum Eraser Experiments show superposition of electron positions, but detecting its gravitational effect in superposition is extremely difficult.