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The way we introduce Quantum Physics creates some difficulties. I see few ways around it: QFT is too complex to teach to a Junior year level student: like so many other concepts in Physics we need to start with something simpler and correct the picture later on. The picture of particles and waves has its uses (and some are rather spectacular) but isn't really what we think happens. A particle (or wave, if you like) is a fluctuation in the Quantum field that is represented by that particle (or wave.)
So does an "electron" exist between measurements? The question really doesn't make sense. The Quantum field representing the electron does. So does the Quantum field of the electron exist between measurements? Of course. It permeates all space-time. (I'm ignoring the singularity thing. I have not one clue about that sort of situation.) So there is no weird popping in an out of existence to worry about. Continuous motion? The electron field is continuous (presumably) but the particle aspect does not need to be: the question is a bit of a red herring based on a preconception in Classical Physics, where particle trajectories always are.
Better to think of fields instead of particles. It will make things a lot easier to deal with and understand.
-Dan
So does an "electron" exist between measurements? The question really doesn't make sense. The Quantum field representing the electron does. So does the Quantum field of the electron exist between measurements? Of course. It permeates all space-time. (I'm ignoring the singularity thing. I have not one clue about that sort of situation.) So there is no weird popping in an out of existence to worry about. Continuous motion? The electron field is continuous (presumably) but the particle aspect does not need to be: the question is a bit of a red herring based on a preconception in Classical Physics, where particle trajectories always are.
Better to think of fields instead of particles. It will make things a lot easier to deal with and understand.
-Dan