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rubenvb

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Is there a way to account for the fundamental uncertainty in quantum mechanics through a modification of general relativity? I have very limited experience in Quantum mechanics, and only a notion of what general relativity is.

What I'm after is this: I have a proton (point particle), which curves space-time due to it's charge and to a lesser extent, it's mass. I now shoot an electron past the proton, which should follow its geodete of the curved space-time. If you try to describe this process with eg the Schrödinger/Dirac equation and time evolution, you would make the electron into a (gaussian) wave packet that would dilute throughout the whole process and generate a probability distribution of where the electron could be after the interaction. General relativity in contrast has exactly one point in space-time where the electron should be. Is there a modification to general relativity that could account for the different (experimentally measured) probability distributions?

If I'm thinking about this in the wrong way, please enlighten me, I'm eager to learn. If my example of proton and electron is incorrect, think about the two-slit Young experiment, which would equally well generate a quantum mechanical probability/intensity distribution, whereas (as far as I can deduce) general relativity would not.