Thursday, 5 October 2017

electromagnetism - Did Feynman ever solve the problem of the difference between bare mass and self-energy of the electron?


The question had to do with the idea that space was filled with particles and that electrons could only exist in specific locations, and same with positrons in the "holes."


But if the electron has self-energy to hold the wavelet together that interacts infinitely, perhaps it means the dark matter we're looking for is all around us, and probably holding everything together.


Or maybe the whole idea is obsolete. I am not sure how it ended up.


I haven't heard about any updates on this controversy. So did he ever solve it?



--EDIT to explain why I am asking: I am trying to figure out the actual physical process of microwave propagation in free space. re Maxwell's equations, I am very curious as to what the permeability and permitivity of free space is. If there are infinite particles that would alter it from being free space, then like dust, I would expect impediments to electromagnetic waves like radio (microwaves).


And if there are differing magnetic moments in free-space Hydrogen, depending on the excitation state of the electrons, I don't know how that affects the propagation of said waves. For instance, how does the wave maintain a stable frequency in a "lumpy" free space.


Hence this question.



Answer



I think you are referring to the idea of the Dirac sea that was used in the early days of relativistic quantum mechanics. Since the development of quantum field theory we no longer consider the Dirac sea to be a useful concept so there is no need to explain away its odder consequences.


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