Recently I have been thinking about following problem. When one is calculating amplitude of probability for particle moving between points X and Y, there is an integral over all paths. But what about paths that are impossible due to relativity? I mean what about a path that is 1 billion km long and we see that the particle travels between points X and Y via straight line 2 m long over time 2 sec. Do we really need to integrate the 1 million path to get the result?
Feynman path integrals
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