How plausible is the idea of Feynman’s one-electron universe? What do theoretical and experimental quantum physicists think about that idea?

That’s the core idea of quantum field theory. It’s a literal meaning of Platonism. The Electron is a field which exists everywhere at all times. Each individual electron is merely an instance of The Electron field.

You can also look at it from the perspective of an Object-Oriented Programer. First, you create the code for Electron objects and then you instantiate them as you need. 🙂

Another clever twist to this is in QFT: The mathematics for antifermion progators turns out be the same as that for fermions going forward in time. So in Feynman diagrams, we draw the arrowhead for a positron progator in the opposite direction to that of an electron propagator. This creates a visual representation of electron conservation. The “electron line”, though it is “kinked”, runs through the diagram as a continuous path. This led to the idea that there might be just one electron in the universe. It can go forward and backwards in time ….”.

This is a great idea. However, there doesn’t seem like enough positrons to fill the gap for all the electron lines moving forward. They might be heading back this direction ….

Some have even attempted to use this symmetry as an excuse to travel back in time. I’m dubious.

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