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This one might actually be understandable! It is what Richard Feynman starts to explain at: Richard Feynman Quantum Electrodynamics Lecture at University of Auckland (1979).
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The difficulty is then proving that the total probability remains at 1, and maybe causality is hard too.
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The path integral formulation can be seen as a generalization of the double-slit experiment to infinitely many slits.
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Feynman first stared working it out for non-relativistic quantum mechanics, with the relativistic goal in mind, and only later on he attained the relativistic goal.
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TODO why intuitively did he take that approach? Likely is makes it easier to add special relativity.
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This approach more directly suggests the idea that quantum particles take all possible paths.
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Ancestors

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